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class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-R6PoUb Ft7HRd-AhqUyc-R6PoUb JNdkSc SQVYQc L6cTce-purZT L6cTce-pSzOP"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"></div></div></div><div class="hJDwNd-AhqUyc-EehZO Ft7HRd-AhqUyc-EehZO purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.6937648aedb73852_13" class="hJDwNd-AhqUyc-EehZO Ft7HRd-AhqUyc-EehZO jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe lkHyyc"><br><h1 id="h.1u97rpdzhfb5" dir="ltr" class="zfr3Q duRjpb CDt4Ke " style="line-height: 0.12; text-align: center;"><span class="C9DxTc " style="">Presentations</span></h1></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-R6PoUb Ft7HRd-AhqUyc-R6PoUb JNdkSc SQVYQc L6cTce-purZT L6cTce-pSzOP"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"></div></div></div></div></div></section><section id="h.2dd14d5ea9032e38_37" class="yaqOZd qeLZfd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-uQSCkd Ft7HRd-AhqUyc-uQSCkd purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.2dd14d5ea9032e38_34" class="hJDwNd-AhqUyc-uQSCkd Ft7HRd-AhqUyc-uQSCkd jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><p dir="ltr" class="zfr3Q CDt4Ke " style="text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">The following slides correspond to some talks about my work. They cover most of my main areas and results. </span><a class="XqQF9c" href="https://sites.google.com/view/garciaferrero/research/presentations#h.w9mznvzyw2m" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="">References</span></a><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> can be found at the end of this page. </span></p></div></div></div></div></div></div></div></div></div></section><section id="h.4ddb8b57fdbe6f98_22" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.42d14c43a51b9d73_7" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="18WlB4uaTKRrWpiT7xq_lWfclz0JNE2a5" data-embed-open-url="https://drive.google.com/open?id=18WlB4uaTKRrWpiT7xq_lWfclz0JNE2a5" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=18WlB4uaTKRrWpiT7xq_lWfclz0JNE2a5&sz=w464-h224-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=18WlB4uaTKRrWpiT7xq_lWfclz0JNE2a5&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 61.1486486486%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_2024_Sevilla.pdf" data-src="https://drive.google.com/file/d/18WlB4uaTKRrWpiT7xq_lWfclz0JNE2a5/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_2024_Sevilla.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=18WlB4uaTKRrWpiT7xq_lWfclz0JNE2a5&sz=w464-h224-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_2024_Sevilla.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.6f690960f8b7c639_23" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.d7kzkr1fokc7" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.d7kzkr1fokc7_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style=""><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.d7kzkr1fokc7_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.d7kzkr1fokc7" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.d7kzkr1fokc7_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Reconstruction for the Calderón problem with Lipschitz conductivities</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="">Review of (some) </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 400;">re</span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">construction</span><span class="C9DxTc " style=""> results for the Calderón problem, from C2 to Lipschitz regularities </span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">[CGFR.2</span><span class="C9DxTc " style="">4</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">].</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">(</span><span class="C9DxTc " style="">July</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> 202</span><span class="C9DxTc " style="">4</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">) </span></p></div></div></div></div></div></div></div></div></div></section><section id="h.42d14c43a51b9d73_0" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.42d14c43a51b9d73_3" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1rIxdmjdsnkpulafqw1M268orG1uBQDfB" data-embed-open-url="https://drive.google.com/open?id=1rIxdmjdsnkpulafqw1M268orG1uBQDfB" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1rIxdmjdsnkpulafqw1M268orG1uBQDfB&sz=w464-h228-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1rIxdmjdsnkpulafqw1M268orG1uBQDfB&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 62.0209059233%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_2022.12.01_IntIPSeminar.pdf" data-src="https://drive.google.com/file/d/1rIxdmjdsnkpulafqw1M268orG1uBQDfB/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_2022.12.01_IntIPSeminar.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1rIxdmjdsnkpulafqw1M268orG1uBQDfB&sz=w464-h228-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_2022.12.01_IntIPSeminar.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.42d14c43a51b9d73_6" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.9l611kn0896h" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.9l611kn0896h_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style=""><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.9l611kn0896h_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.9l611kn0896h" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.9l611kn0896h_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="font-variant: normal;">The Calderón problem for directionally antilocal operators</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">Introduction to the </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">Calderón problem</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> for nonlocal operators seeing cones and implications of </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">directional antilocality</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> </span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">[CGFR.22].</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">(December</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> 2022) </span></p></div></div></div></div></div></div></div></div></div></section><section id="h.10b78b550dd332a6_0" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.10b78b550dd332a6_3" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1Pnb6verd4BdPL_w7cLygXH2c1x_j7DYu" data-embed-open-url="https://drive.google.com/open?id=1Pnb6verd4BdPL_w7cLygXH2c1x_j7DYu" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1Pnb6verd4BdPL_w7cLygXH2c1x_j7DYu&sz=w464-h276-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1Pnb6verd4BdPL_w7cLygXH2c1x_j7DYu&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 72.3287671233%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_2022.01.20_Bienal_OPSF.pdf" data-src="https://drive.google.com/file/d/1Pnb6verd4BdPL_w7cLygXH2c1x_j7DYu/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_2022.01.20_Bienal_OPSF.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1Pnb6verd4BdPL_w7cLygXH2c1x_j7DYu&sz=w464-h276-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_2022.01.20_Bienal_OPSF.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.10b78b550dd332a6_6" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.7wqevcr64o7m" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.7wqevcr64o7m_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.7wqevcr64o7m_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.7wqevcr64o7m" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.7wqevcr64o7m_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Exceptional orthogonal polynomials and isosprectral transformations</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">Introduction to the double commutation method/</span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">confluent Darboux transformation</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> and application to the construction of </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">exceptional orthogonal (Legendre) polynomials</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> [GFGUM.21].</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">(</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">January 2022) </span></p></div></div></div></div></div></div></div></div></div></section><section id="h.53e5b1df57d3c4ae_0" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.53e5b1df57d3c4ae_3" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1-mBcv8su_FupAUx8EVC0J1Av5sFynEWu" data-embed-open-url="https://drive.google.com/open?id=1-mBcv8su_FupAUx8EVC0J1Av5sFynEWu" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1-mBcv8su_FupAUx8EVC0J1Av5sFynEWu&sz=w464-h270-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1-mBcv8su_FupAUx8EVC0J1Av5sFynEWu&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 70.9589041096%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_2021UB.pdf" data-src="https://drive.google.com/file/d/1-mBcv8su_FupAUx8EVC0J1Av5sFynEWu/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_2021UB.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1-mBcv8su_FupAUx8EVC0J1Av5sFynEWu&sz=w464-h270-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_2021UB.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.53e5b1df57d3c4ae_6" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.osom26jcp5ao" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.osom26jcp5ao_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.osom26jcp5ao_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.osom26jcp5ao" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.osom26jcp5ao_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Unique continuation and inverse problems</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">On applications of </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">quantitative unique continuation</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> and </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">quantitative Runge approximation</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> results to the study of the </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">stability</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> of </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">inverse problems</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> related with medical imaging. Namely, on the Calderón problem for the </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">acoustic Helmholtz equation</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> </span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">[GFRZ.21]</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> and the inverse of the </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-variant: normal; font-weight: 400; vertical-align: baseline;">Hilbert transform</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;"> </span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">[GFR.20]</span><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; font-variant: normal; vertical-align: baseline;">(May 2021) </span></p></div></div></div></div></div></div></div></div></div></section><section id="h.6f690960f8b7c639_0" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.7fad8ab1267eeb56_84" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1JDzl2FOpEkqYWLsY90ncSXZtd6HGMY0V" data-embed-open-url="https://drive.google.com/open?id=1JDzl2FOpEkqYWLsY90ncSXZtd6HGMY0V" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1JDzl2FOpEkqYWLsY90ncSXZtd6HGMY0V&sz=w464-h270-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1JDzl2FOpEkqYWLsY90ncSXZtd6HGMY0V&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 70.9589041096%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_2020UAMJLRdF.pdf" data-src="https://drive.google.com/file/d/1JDzl2FOpEkqYWLsY90ncSXZtd6HGMY0V/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_2020UAMJLRdF.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1JDzl2FOpEkqYWLsY90ncSXZtd6HGMY0V&sz=w464-h270-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_2020UAMJLRdF.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.6f690960f8b7c639_28" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.8lmdqpjr222n" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.8lmdqpjr222n_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.8lmdqpjr222n_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.8lmdqpjr222n" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.8lmdqpjr222n_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Unique continuation, Runge approximation and applications </span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">Overview and comparison of </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">Runge approximation</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> results and </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">unique continuation</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> properties results for </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">local</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> and </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">non-local</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">, together with some </span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">applications about </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">prescribing qualitative properties</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> of solutions to PDEs and the </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">fractional Calderón problem</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">. With references to [EGFPS.19], [GFR.20] and [GFR.19].</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">(October 2020)</span></p></div></div></div></div></div></div></div></div></div></section><section id="h.7fad8ab1267eeb56_68" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.7fad8ab1267eeb56_76" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1CDYU62eYKuaeC1fjPe0gWDBHXPIWQD_p" data-embed-open-url="https://drive.google.com/open?id=1CDYU62eYKuaeC1fjPe0gWDBHXPIWQD_p" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1CDYU62eYKuaeC1fjPe0gWDBHXPIWQD_p&sz=w464-h276-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1CDYU62eYKuaeC1fjPe0gWDBHXPIWQD_p&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 72.3287671233%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_2020MinnesotaZoom.pdf" data-src="https://drive.google.com/file/d/1CDYU62eYKuaeC1fjPe0gWDBHXPIWQD_p/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_2020MinnesotaZoom.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1CDYU62eYKuaeC1fjPe0gWDBHXPIWQD_p&sz=w464-h276-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_2020MinnesotaZoom.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.7fad8ab1267eeb56_78" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.tw8tdziti8qi" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.tw8tdziti8qi_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.tw8tdziti8qi_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.tw8tdziti8qi" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.tw8tdziti8qi_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Unique continuation for non-local operators</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">On [GFR.19] and [GFR.20]: Two new mechanisms for deducing logarithmic </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">quantitative unique continuation</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> estimates for certain classes of </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">integral operators</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">(July 2020)</span></p></div></div></div></div></div></div></div></div></div></section><section id="h.6f690960f8b7c639_33" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.6f690960f8b7c639_16" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1I25Z8IJUp4CFRDgMVwmOHyMPdhbPNOxf" data-embed-open-url="https://drive.google.com/open?id=1I25Z8IJUp4CFRDgMVwmOHyMPdhbPNOxf" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1I25Z8IJUp4CFRDgMVwmOHyMPdhbPNOxf&sz=w464-h272-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1I25Z8IJUp4CFRDgMVwmOHyMPdhbPNOxf&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 71.5068493151%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_2020RSMES13.pdf" data-src="https://drive.google.com/file/d/1I25Z8IJUp4CFRDgMVwmOHyMPdhbPNOxf/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_2020RSMES13.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1I25Z8IJUp4CFRDgMVwmOHyMPdhbPNOxf&sz=w464-h272-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_2020RSMES13.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.6f690960f8b7c639_59" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.7s5vkigyizmx" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.7s5vkigyizmx_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.7s5vkigyizmx_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.7s5vkigyizmx" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.7s5vkigyizmx_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Unique continuation properties for fractional Schrödinger equations</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">On [GFR.19]: </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">Strong unique continuation</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> property for solutions of higher order (variable coefficient) </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">fractional Schrödinger</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> operators. </span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">(January 2020)</span></p></div></div></div></div></div></div></div></div></div></section><section id="h.7fad8ab1267eeb56_99" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.7fad8ab1267eeb56_107" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1g8oE9mO7eRHcA-TQInaVWJw5Td0QiUZA" data-embed-open-url="https://drive.google.com/open?id=1g8oE9mO7eRHcA-TQInaVWJw5Td0QiUZA" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1g8oE9mO7eRHcA-TQInaVWJw5Td0QiUZA&sz=w464-h273-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1g8oE9mO7eRHcA-TQInaVWJw5Td0QiUZA&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 71.7808219178%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_BiotSavartBudapest.pdf" data-src="https://drive.google.com/file/d/1g8oE9mO7eRHcA-TQInaVWJw5Td0QiUZA/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_BiotSavartBudapest.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1g8oE9mO7eRHcA-TQInaVWJw5Td0QiUZA&sz=w464-h273-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_BiotSavartBudapest.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.7fad8ab1267eeb56_109" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.rifocr2vwauy" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.rifocr2vwauy_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.rifocr2vwauy_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.rifocr2vwauy" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.rifocr2vwauy_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">The Biot-Savart operator of a bounded domain</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">On [EGFPS.18b]: Integral formulation of the velocity field of an incompressible </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">fluid</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> with tangency boundary conditions on a bounded domain in terms of its </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">vorticity</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">(June 2019)</span></p></div></div></div></div></div></div></div></div></div></section><section id="h.6f690960f8b7c639_62" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.6f690960f8b7c639_67" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1Mvp3j5org40XtrIa3EFEG_8O7Td3lzGb" data-embed-open-url="https://drive.google.com/open?id=1Mvp3j5org40XtrIa3EFEG_8O7Td3lzGb" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1Mvp3j5org40XtrIa3EFEG_8O7Td3lzGb&sz=w464-h278-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1Mvp3j5org40XtrIa3EFEG_8O7Td3lzGb&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 72.8767123288%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_Munich.pdf" data-src="https://drive.google.com/file/d/1Mvp3j5org40XtrIa3EFEG_8O7Td3lzGb/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_Munich.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1Mvp3j5org40XtrIa3EFEG_8O7Td3lzGb&sz=w464-h278-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_Munich.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.6f690960f8b7c639_101" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.a6t6cvf1j9e4" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.a6t6cvf1j9e4_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.a6t6cvf1j9e4_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.a6t6cvf1j9e4" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.a6t6cvf1j9e4_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Minimal graphs with prescribed level sets</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">On [EGFPS.18a]: Existence of </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">minimal graphs </span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">on bounded sets</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> whose intersection with a hyperplane (or </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">level set</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">) has any </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">prescribed geometry</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">, up to a small deformation.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">(August 2018)</span></p></div></div></div></div></div></div></div></div></div></section><section id="h.2dd14d5ea9032e38_4" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.2dd14d5ea9032e38_12" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1-VsbmICJowO3flT3ro4l5LIxthvWIip2" data-embed-open-url="https://drive.google.com/open?id=1-VsbmICJowO3flT3ro4l5LIxthvWIip2" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1-VsbmICJowO3flT3ro4l5LIxthvWIip2&sz=w464-h278-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1-VsbmICJowO3flT3ro4l5LIxthvWIip2&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 72.8767123288%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_Defensa.pdf" data-src="https://drive.google.com/file/d/1-VsbmICJowO3flT3ro4l5LIxthvWIip2/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_Defensa.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1-VsbmICJowO3flT3ro4l5LIxthvWIip2&sz=w464-h278-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_Defensa.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.2dd14d5ea9032e38_14" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.gy45o9xbbd2r" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.gy45o9xbbd2r_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.gy45o9xbbd2r_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.gy45o9xbbd2r" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.gy45o9xbbd2r_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Global approximation theorems for PDEs and applications</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">Slides of my thesis defence with the main results contained in [EGFPS 18a], [EGFPS 18b] and especially [EGFPS.19]: Global Runge </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">approximation theorems</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> for general </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">parabolic equations</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> and existence of global solutions with a local </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">hot spot</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> moving along a prescribed curve for all time, up to a small error.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">(July 2018)</span></p></div></div></div></div></div></div></div></div></div></section><section id="h.6f690960f8b7c639_77" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.6f690960f8b7c639_82" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1AszjauSoBzqTAsEf808Unn1asnrSWqS4" data-embed-open-url="https://drive.google.com/open?id=1AszjauSoBzqTAsEf808Unn1asnrSWqS4" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1AszjauSoBzqTAsEf808Unn1asnrSWqS4&sz=w464-h277-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1AszjauSoBzqTAsEf808Unn1asnrSWqS4&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 72.602739726%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGFweb_OPFSA14.pdf" data-src="https://drive.google.com/file/d/1AszjauSoBzqTAsEf808Unn1asnrSWqS4/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGFweb_OPFSA14.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1AszjauSoBzqTAsEf808Unn1asnrSWqS4&sz=w464-h277-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGFweb_OPFSA14.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.6f690960f8b7c639_111" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.hnxiby6vyaih" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.hnxiby6vyaih_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.hnxiby6vyaih_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.hnxiby6vyaih" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.hnxiby6vyaih_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Wronskians with classical polynomial entries</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">On [GFGU.15]: Formulas for the number of real </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">zeros</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> of the </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">Wronskian</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> of an arbitrary sequence of eigenfunctions of a </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">Schrödinger’s equation</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;"> and of classical</span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;"> orthogonal polynomials</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">(July 2017)</span></p></div></div></div></div></div></div></div></div></div></section><section id="h.2dd14d5ea9032e38_19" class="yaqOZd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.2dd14d5ea9032e38_27" class="hJDwNd-AhqUyc-II5mzb Ft7HRd-AhqUyc-II5mzb pSzOP-AhqUyc-II5mzb Ktthjf-AhqUyc-II5mzb jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd OWlOyc baZpAe"><div jscontroller="VYKRW" jsaction="rcuQ6b:rcuQ6b;"><div class="WIdY2d M1aSXe" data-embed-doc-id="1O3rD5lkszfp7alfbqX1mMYq8EFh2__AJ" data-embed-open-url="https://drive.google.com/open?id=1O3rD5lkszfp7alfbqX1mMYq8EFh2__AJ" data-embed-thumbnail-url="https://drive.google.com/thumbnail?id=1O3rD5lkszfp7alfbqX1mMYq8EFh2__AJ&sz=w464-h270-p-k-nu" data-embed-download-url="https://drive.google.com/uc?id=1O3rD5lkszfp7alfbqX1mMYq8EFh2__AJ&export=download"><div jsname="WXxXjd" class="t5qrWd" style="padding-top: 70.9589041096%"></div><iframe jsname="L5Fo6c" jscontroller="usmiIb" jsaction="rcuQ6b:WYd;" class="YMEQtf L6cTce-purZT L6cTce-pSzOP" sandbox="allow-scripts allow-popups allow-forms allow-same-origin allow-popups-to-escape-sandbox allow-downloads allow-modals allow-storage-access-by-user-activation" frameborder="0" aria-label="Drive, MAGF_XOPs_seminario_junior.pdf" data-src="https://drive.google.com/file/d/1O3rD5lkszfp7alfbqX1mMYq8EFh2__AJ/preview" allowfullscreen></iframe><div class="TPTLxf"></div><div class="JmGwdf SzkQif L6cTce-hJDwNd L6cTce-dQCS7c" role="link" tabindex="0" jsaction="click:QNTBYd" aria-label="Drive, MAGF_XOPs_seminario_junior.pdf"><div class="t0pVcb"><div class="TZchLb FQ4MFe" style="background-image: url(https://drive.google.com/thumbnail?id=1O3rD5lkszfp7alfbqX1mMYq8EFh2__AJ&sz=w464-h270-p-k-nu);"></div></div><div class="pHBU0d"><div class="ojy9Ed"><img class="McKOwe" src="https://www.google.com/images/icons/product/drive-32.png"><span class="pB4Yfc">MAGF_XOPs_seminario_junior.pdf</span></div></div></div></div></div></div></div></div></div></div></div></div><div class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.2dd14d5ea9032e38_29" class="hJDwNd-AhqUyc-OiUrBf Ft7HRd-AhqUyc-OiUrBf jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.gus9kzx8ag0h" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.gus9kzx8ag0h_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.gus9kzx8ag0h_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.gus9kzx8ag0h" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.gus9kzx8ag0h_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">Exceptional orthogonal polynomials</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">Introduction to </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-weight: 400; vertical-align: baseline;">exceptional orthogonal polynomials</span><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">: complete systems of orthogonal polynomials which satisfy a Sturm-Liouville problem but differ from the classical (Hermite, Laguerre and Jacobi) in that there is a finite number of degrees for which no polynomial eigenfunction exists. </span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.7999999999999998; text-align: justify;"><span class="C9DxTc " style="font-size: 12.0pt; vertical-align: baseline;">(June 2015)</span></p></div></div></div></div></div></div></div></div></div></section><section id="h.2dd14d5ea9032e38_65" class="yaqOZd WxWicb"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-uQSCkd Ft7HRd-AhqUyc-uQSCkd purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.2dd14d5ea9032e38_68" class="hJDwNd-AhqUyc-uQSCkd Ft7HRd-AhqUyc-uQSCkd jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd baZpAe"><div class="iwQgFb" role="presentation"></div></div></div></div></div></div></div></div></div></div></section><section id="h.443a2ad3e3c1654f_3" class="yaqOZd qeLZfd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-uQSCkd Ft7HRd-AhqUyc-uQSCkd purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.443a2ad3e3c1654f_0" class="hJDwNd-AhqUyc-uQSCkd Ft7HRd-AhqUyc-uQSCkd jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><div id="h.w9mznvzyw2m" class="GV3q8e yMxPgf aP9Z7e"></div><h3 id="h.w9mznvzyw2m_l" dir="ltr" class="zfr3Q OmQG5e CDt4Ke " style="text-align: justify;"><div jscontroller="Ae65rd" jsaction="touchstart:UrsOsc; click:KjsqPd; focusout:QZoaZ; mouseover:y0pDld; mouseout:dq0hvd;fv1Rjc:jbFSOd;CrfLRd:SzACGe;" class="CjVfdc"><div class="PPhIP rviiZ" jsname="haAclf"><div role="presentation" class="U26fgb mUbCce fKz7Od LRAOtb Znu9nd M9Bg4d" jscontroller="mxS5xe" jsaction="click:cOuCgd; mousedown:UX7yZ; mouseup:lbsD7e; mouseenter:tfO1Yc; mouseleave:JywGue; focus:AHmuwe; blur:O22p3e; contextmenu:mg9Pef;" jsshadow aria-describedby="h.w9mznvzyw2m_l" aria-label="Copy heading link" aria-disabled="false" data-tooltip="Copy heading link" aria-hidden="true" data-tooltip-position="top" data-tooltip-vertical-offset="12" data-tooltip-horizontal-offset="0"><a class="FKF6mc TpQm9d" href="#h.w9mznvzyw2m" aria-label="Copy heading link" jsname="hiK3ld" role="button" aria-describedby="h.w9mznvzyw2m_l"><div class="VTBa7b MbhUzd" jsname="ksKsZd"></div><span jsslot class="xjKiLb"><span class="Ce1Y1c" style="top: -11px"><svg class="OUGEr QdAdhf" width="22px" height="22px" viewBox="0 0 24 24" fill="currentColor" focusable="false"><path d="M0 0h24v24H0z" fill="none"/><path d="M3.9 12c0-1.71 1.39-3.1 3.1-3.1h4V7H7c-2.76 0-5 2.24-5 5s2.24 5 5 5h4v-1.9H7c-1.71 0-3.1-1.39-3.1-3.1zM8 13h8v-2H8v2zm9-6h-4v1.9h4c1.71 0 3.1 1.39 3.1 3.1s-1.39 3.1-3.1 3.1h-4V17h4c2.76 0 5-2.24 5-5s-2.24-5-5-5z"/></svg></span></span></a></div></div><span class="C9DxTc " style="">References</span></div></h3><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[CGFR.24] </span><span class="C9DxTc " style="font-variant: normal;">P.</span><span class="C9DxTc " style="">Caro, MAGF, K.M. Rogers, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;"> </span><a class="XqQF9c" href="https://arxiv.org/pdf/2401.06120.pdf" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-style: italic;">Reconstruction for the Calderón problem with Lipschitz conductivities</span></a><span class="C9DxTc " style="">, preprint</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[CGFR.22]</span><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 400;"> </span><span class="C9DxTc " style="">G.Covi, </span><span class="C9DxTc " style="font-variant: normal;">MAGF, A. Rüland, </span><a class="XqQF9c" href="https://doi.org/10.1016/j.jde.2022.09.009" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-style: italic;">On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols</span></a><span class="C9DxTc " style="">, J. D</span><span class="C9DxTc " style="">iffer. Equ 341 (2022) 79-149.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[EGFPS.19]</span><span class="C9DxTc " style=""> </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">A. </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">Enciso, </span><span class="C9DxTc " style="">MAGF, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">D. Peralta-Salas, </span><a class="XqQF9c" href="https://doi.org/10.1215/00127094-2018-0058" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-style: italic;">Approximation theorems for parabolic equations and movement of local hot spots</span></a><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">, </span><span class="C9DxTc " style="">Duke Math. J. 168 (2019) 897-939.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[EGFPS.18a]</span><span class="C9DxTc " style=""> </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">A. </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">Enciso, </span><span class="C9DxTc " style="font-variant: normal;">MAGF</span><span class="C9DxTc " style="">, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">D. Peralta-Salas, </span><a class="XqQF9c" href="https://doi.org/10.1016/j.matpur.2017.11.004" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-style: italic;">The Biot-Savart operator of a bounded domain</span></a><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">, J. Math. Pures Appl., </span><span class="C9DxTc " style="">119 (2018) 85-113.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[EGFPS.18b]</span><span class="C9DxTc " style=""> </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">A. </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">Enciso, </span><span class="C9DxTc " style="font-variant: normal;">MAGF</span><span class="C9DxTc " style="">, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">D. Peralta-Salas, </span><a class="XqQF9c" href="https://doi.org/10.1016/j.jde.2018.02.025" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: italic; font-weight: 300; text-decoration: none; vertical-align: baseline;">Minimal graphs with micro-oscillations</span></a><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">,</span><span class="C9DxTc " style=""> J. Differ. Equ. 265 (2018) 3339-3344.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[GFGU.15]</span><span class="C9DxTc " style=""> </span><span class="C9DxTc " style="font-variant: normal;">MAGF</span><span class="C9DxTc " style="">, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">D. Gómez-Ullate</span><span class="C9DxTc " style="">, </span><a class="XqQF9c" href="https://link.springer.com/article/10.1007/s11005-015-0751-4" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: italic; font-weight: 300; text-decoration: none; vertical-align: baseline;">Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger's equation</span></a><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">, Lett. Math. Phys. 10 5 (2015), 551-573</span><span class="C9DxTc " style="">.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[GFGUM.21]</span><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;"> </span><span class="C9DxTc " style="font-variant: normal;">MAGF</span><span class="C9DxTc " style="">, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">D. Gómez-Ullate</span><span class="C9DxTc " style="">, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">R. Milson, </span><a class="XqQF9c" href="https://www.emis.de/journals/SIGMA/2021/016/sigma21-016.pdf" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-style: italic;">Exceptional Legendre polynomials and confluent Darboux transformations</span></a><span class="C9DxTc " style="">, Symmetry Integr. Geom. 17 (2021) 016.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[GFGUM.19]</span><span class="C9DxTc " style=""> </span><span class="C9DxTc " style="font-variant: normal;">MAGF</span><span class="C9DxTc " style="">, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">D. Gómez-Ullate</span><span class="C9DxTc " style="">, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">R. Milson, </span><a class="XqQF9c" href="https://doi.org/10.1016/j.jmaa.2018.11.042" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-style: italic;">A Bochner type characterization for exceptional orthogonal polynomials</span></a><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">, </span><span class="C9DxTc " style="">J. Math. Anal. Appl. 472 (2019) 584-626.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[GFR.20]</span><span class="C9DxTc " style=""> </span><span class="C9DxTc " style="font-variant: normal;">MAGF</span><span class="C9DxTc " style="">, A. Rüland, </span><a class="XqQF9c" href="https://www.tandfonline.com/doi/full/10.1080/03605302.2020.1776323" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-style: italic;">On Two Methods for Quantitative Unique Continuation Results for Some Nonlocal Operators</span></a><span class="C9DxTc " style="">, </span><span class="C9DxTc " style="font-family: Lexend, Arial; font-size: 12.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">Commun. Part. Diff. Eq.</span><span class="C9DxTc " style=""> 45:11 (2020) 1512-1560.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[GFR.19]</span><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 400;"> </span><span class="C9DxTc " style="font-variant: normal;">MAGF</span><span class="C9DxTc " style="">, A. Rüland, </span><a class="XqQF9c" href="https://www.aimspress.com/article/10.3934/mine.2019.4.715" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-style: italic;">Strong unique continuation for the higher order fractional Laplacian</span></a><span class="C9DxTc " style="">, Mathematics in Engineering 1 (2019) 715-774.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="line-height: 1.38; margin-right: 0.0pt; text-align: justify;"><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 700;">[GFRZ.21]</span><span class="C9DxTc " style="font-family: Lexend, Arial; font-weight: 400;"> </span><span class="C9DxTc " style="font-variant: normal;">MAGF</span><span class="C9DxTc " style="">, A. Rüland, </span><span class="C9DxTc " style="color: #212121; font-family: Lexend, Arial; font-size: 11.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">W. Zatoń</span><span class="C9DxTc " style="color: #212121;">,</span><span class="C9DxTc " style=""> </span><a class="XqQF9c" href="https://www.aimsciences.org/article/doi/10.3934/ipi.2021049" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-family: Lexend, Arial; font-size: 11.0pt; font-style: italic; font-weight: 300; text-decoration: none; vertical-align: baseline;">Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation</span></a><span class="C9DxTc " style="color: #212121; font-family: Lexend, Arial; font-size: 11.0pt; font-style: normal; font-weight: 300; text-decoration: none; vertical-align: baseline;">, </span><span class="C9DxTc " style="color: #212121;">Inverse Probl. 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