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data-event-name="menu.watch" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet menu__item--page-actions-watch"> <span class="minerva-icon minerva-icon--star"></span> <span>Watch</span> </a> </li> <li id="page-actions-edit" class="page-actions-menu__list-item"> <a role="button" id="ca-edit" href="/w/index.php?title=John_Toland_(mathematician)&action=edit" data-event-name="menu.edit" data-mw="interface" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet edit-page menu__item--page-actions-edit"> <span class="minerva-icon minerva-icon--edit"></span> <span>Edit</span> </a> </li> </ul> </nav>  <div id="mw-content-subtitle"></div> </div> <div id="bodyContent" class="content"> <div id="mw-content-text" class="mw-body-content"><script>function mfTempOpenSection(id){var block=document.getElementById("mf-section-"+id);block.className+=" open-block";block.previousSibling.className+=" open-block";}</script><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><section class="mf-section-0" id="mf-section-0"> <p class="mw-empty-elt"> </p> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><p><b>John Francis Toland</b> (born 28 April 1949 in <a href="/wiki/Derry" title="Derry">Derry</a>)<sup id="cite_ref-whoswho_2-0" class="reference"><a href="#cite_note-whoswho-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> is an Irish mathematician based in the UK. From 2011 to 2016 he served as Director of the <a href="/wiki/Isaac_Newton_Institute_for_Mathematical_Sciences" class="mw-redirect" title="Isaac Newton Institute for Mathematical Sciences">Isaac Newton Institute for Mathematical Sciences</a> and N M Rothschild & Sons Professor of Mathematical Sciences at the <a href="/wiki/University_of_Cambridge" title="University of Cambridge">University of Cambridge</a>. </p><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">John Toland</div><div class="honorific-suffix" style="font-size: 77%; font-weight: normal;"><a href="/wiki/Fellow_of_the_Royal_Society" title="Fellow of the Royal Society">FRS</a> <a href="/wiki/FRSE" class="mw-redirect" title="FRSE">FRSE</a></div></th></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1949-04-28</span>) </span>28 April 1949<span class="noprint ForceAgeToShow"> (age 75)</span></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/Queen%27s_University_Belfast" title="Queen's University Belfast">Queen's University Belfast</a><br><a href="/wiki/University_of_Sussex" title="University of Sussex">University of Sussex</a></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><div class="hlist"><ul><li><a href="/wiki/Sylvester_Medal" title="Sylvester Medal">Sylvester Medal</a></li><li><a href="/wiki/Berwick_Prize" title="Berwick Prize">Berwick Prize</a></li></ul></div></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i><a rel="nofollow" class="external text" href="https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.475332">Topological Methods for Nonlinear Eigenvalue Problems</a></i> <span style="font-size:97%;">(1973)</span></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Doctoral_advisor" title="Doctoral advisor">Doctoral advisor</a></th><td class="infobox-data">Charles A. Stuart<sup id="cite_ref-mathgene_1-0" class="reference"><a href="#cite_note-mathgene-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th scope="row" class="infobox-label">Website</th><td class="infobox-data"><span class="url"><a rel="nofollow" class="external text" href="http://www.newton.ac.uk/about/history/toland">www<wbr></wbr>.newton<wbr></wbr>.ac<wbr></wbr>.uk<wbr></wbr>/about<wbr></wbr>/history<wbr></wbr>/toland</a></span></td></tr></tbody></table> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"><input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none"><div class="toctitle" lang="en" dir="ltr"><h2 id="mw-toc-heading">Contents</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span></div> <ul> <li class="toclevel-1 tocsection-1"><a href="#Education"><span class="tocnumber">1</span> <span class="toctext">Education</span></a></li> <li class="toclevel-1 tocsection-2"><a href="#Career_and_research"><span class="tocnumber">2</span> <span class="toctext">Career and research</span></a></li> <li class="toclevel-1 tocsection-3"><a href="#Awards_and_honours"><span class="tocnumber">3</span> <span class="toctext">Awards and honours</span></a></li> <li class="toclevel-1 tocsection-4"><a href="#References"><span class="tocnumber">4</span> <span class="toctext">References</span></a></li> </ul> </div> </section><div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(1)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Education">Education</h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=John_Toland_(mathematician)&action=edit&section=1" title="Edit section: Education" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-1 collapsible-block" id="mf-section-1"> <p>Toland was educated at <a href="/wiki/St_Columb%27s_College" title="St Columb's College">St Columb's College</a> in Derry and <a href="/wiki/Queen%27s_University_Belfast" title="Queen's University Belfast">Queen's University Belfast</a> where he was awarded a Bachelor of Science degree in 1970.<sup id="cite_ref-whoswho_2-1" class="reference"><a href="#cite_note-whoswho-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> He completed postgraduate study at the <a href="/wiki/University_of_Sussex" title="University of Sussex">University of Sussex</a> where he was awarded a PhD in 1973<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> for research on <a href="/wiki/Topology" title="Topology">topological methods</a> for <a href="/wiki/Nonlinear_system" title="Nonlinear system">nonlinear</a> <a href="/wiki/Eigenvalue" class="mw-redirect" title="Eigenvalue">eigenvalue</a> problems supervised by Charles A. Stuart.<sup id="cite_ref-mathgene_1-1" class="reference"><a href="#cite_note-mathgene-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> </section><div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(2)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Career_and_research">Career and research</h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=John_Toland_(mathematician)&action=edit&section=2" title="Edit section: Career and research" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-2 collapsible-block" id="mf-section-2"> <p>From 1982 to 2011 he was Professor of Mathematics at the <a href="/wiki/University_of_Bath" title="University of Bath">University of Bath</a><sup id="cite_ref-bath_4-0" class="reference"><a href="#cite_note-bath-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> where he held an <a href="/wiki/Engineering_and_Physical_Sciences_Research_Council" title="Engineering and Physical Sciences Research Council">Engineering and Physical Sciences Research Council (EPSRC)</a> Senior Fellowship 1997–2002. In addition from 2002 to 2010 he was Scientific Director of the <a href="/wiki/International_Centre_for_Mathematical_Sciences" title="International Centre for Mathematical Sciences">International Centre for Mathematical Sciences (ICMS)</a> in Edinburgh.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> In 2011 he succeeded Sir <a href="/wiki/David_Wallace_(physicist)" title="David Wallace (physicist)">David Wallace</a> as Director of the <a href="/wiki/Isaac_Newton_Institute_for_Mathematical_Sciences" class="mw-redirect" title="Isaac Newton Institute for Mathematical Sciences">Isaac Newton Institute for Mathematical Sciences</a> and <a href="/wiki/N_M_Rothschild_%26_Sons" class="mw-redirect" title="N M Rothschild & Sons">N M Rothschild & Sons</a> Professor of Mathematical Sciences at the <a href="/wiki/University_of_Cambridge" title="University of Cambridge">University of Cambridge</a>.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> In 2016 he was succeeded as Director by Professor <a href="/wiki/David_Abrahams_(mathematician)" title="David Abrahams (mathematician)">David Abrahams</a>.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-mathgene_1-2" class="reference"><a href="#cite_note-mathgene-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> His research interests include <a href="/wiki/Mathematical_analysis" title="Mathematical analysis">mathematical analysis</a> and nonlinear partial differential equations with particular interest in the rigorous theory of steady water waves. In 1978, he proved <a href="/wiki/George_Gabriel_Stokes" class="mw-redirect" title="George Gabriel Stokes">George Gabriel Stokes</a>' conjecture on the existence of <a href="/wiki/Gravity_wave" title="Gravity wave">gravity waves</a> of maximum height on deep water, a previously open problem in mathematical <a href="/wiki/Hydrodynamics" class="mw-redirect" title="Hydrodynamics">hydrodynamics</a> which dated back to the 19th century.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p> </section><div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(3)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Awards_and_honours">Awards and honours</h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=John_Toland_(mathematician)&action=edit&section=3" title="Edit section: Awards and honours" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-3 collapsible-block" id="mf-section-3"> <p>He was elected <a href="/wiki/Fellow_of_the_Royal_Society" title="Fellow of the Royal Society">Fellow of the Royal Society</a> (FRS) in 1999,<sup id="cite_ref-frs_11-0" class="reference"><a href="#cite_note-frs-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> and a <a href="/wiki/Fellow_of_the_Royal_Society_of_Edinburgh" class="mw-redirect" title="Fellow of the Royal Society of Edinburgh">Fellow of the Royal Society of Edinburgh</a> (FRSE) in 2003.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (December 2016)">citation needed</span></a></i>]</sup> He was awarded the London Mathematical Society's <a href="/wiki/Senior_Berwick_Prize" class="mw-redirect" title="Senior Berwick Prize">Senior Berwick Prize</a> in 2000;<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> and the Royal Society's <a href="/wiki/Sylvester_Medal" title="Sylvester Medal">Sylvester Medal</a> in 2012.<sup id="cite_ref-sly_13-0" class="reference"><a href="#cite_note-sly-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p><p>He is an Honorary Fellow of <a href="/wiki/University_College_London" title="University College London">University College London</a><sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> and was a <a href="/wiki/Fellow" title="Fellow">Fellow</a> of <a href="/wiki/St_John%27s_College,_Cambridge" title="St John's College, Cambridge">St John's College, Cambridge </a> October 2011 – September 2016.<sup id="cite_ref-bath_4-1" class="reference"><a href="#cite_note-bath-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> </section><div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(4)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="References">References</h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=John_Toland_(mathematician)&action=edit&section=4" title="Edit section: References" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-4 collapsible-block" id="mf-section-4"> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-mathgene-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-mathgene_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-mathgene_1-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-mathgene_1-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=58235">John Toland</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></span> </li> <li id="cite_note-whoswho-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-whoswho_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-whoswho_2-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation encyclopaedia cs1"><span class="id-lock-subscription" title="Paid subscription required"><a rel="nofollow" class="external text" href="https://www.ukwhoswho.com/view/article/oupww/whoswho/U37819">"TOLAND, Prof. John Francis"</a></span>. <i><a href="/wiki/Who%27s_Who_(UK)" title="Who's Who (UK)">Who's Who</a></i>. Vol. 2000 (online <a href="/wiki/Oxford_University_Press" title="Oxford University Press">Oxford University Press</a> ed.). Oxford: A & C Black.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=TOLAND%2C+Prof.+John+Francis&rft.btitle=Who%27s+Who&rft.place=Oxford&rft.edition=online+Oxford+University+Press&rft.pub=A+%26+C+Black&rft_id=https%3A%2F%2Fwww.ukwhoswho.com%2Fview%2Farticle%2Foupww%2Fwhoswho%2FU37819&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span> <span style="font-size:0.95em; font-size:95%; color: var( --color-subtle, #555 )">(Subscription or <a rel="nofollow" class="external text" href="https://www.ukwhoswho.com/page/subscribe#public">UK public library membership</a> required.)</span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFToland1973" class="citation thesis cs1">Toland, John Francis (1973). <a rel="nofollow" class="external text" href="https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.475332"><i>Topological Methods for Nonlinear Eigenvalue Problems</i></a> (PhD thesis). University of Sussex. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/500579955">500579955</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adissertation&rft.title=Topological+Methods+for+Nonlinear+Eigenvalue+Problems&rft.degree=PhD&rft.inst=University+of+Sussex&rft.date=1973&rft_id=info%3Aoclcnum%2F500579955&rft.aulast=Toland&rft.aufirst=John+Francis&rft_id=http%3A%2F%2Fethos.bl.uk%2FOrderDetails.do%3Fuin%3Duk.bl.ethos.475332&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span></span> </li> <li id="cite_note-bath-4"><span class="mw-cite-backlink">^ <a href="#cite_ref-bath_4-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-bath_4-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20140307011732/http://www.maths.bath.ac.uk/~masjft/">"J F Toland's home page"</a>. <i>bath.ac.uk</i>. Bath: <a href="/wiki/University_of_Bath" title="University of Bath">University of Bath</a>. Archived from <a rel="nofollow" class="external text" href="http://www.maths.bath.ac.uk/~masjft/">the original</a> on 7 March 2014.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=bath.ac.uk&rft.atitle=J+F+Toland%27s+home+page&rft_id=http%3A%2F%2Fwww.maths.bath.ac.uk%2F~masjft%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20070103011754/http://icms.org.uk/managementStructure.php">"Management Structure"</a>. ICMS. Archived from <a rel="nofollow" class="external text" href="http://www.icms.org.uk/managementStructure.php">the original</a> on 3 January 2007<span class="reference-accessdate">. Retrieved <span class="nowrap">19 September</span> 2007</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Management+Structure&rft.pub=ICMS&rft_id=http%3A%2F%2Fwww.icms.org.uk%2FmanagementStructure.php&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.lms.ac.uk/contact/index.html">"Officers and Council"</a>. LMS<span class="reference-accessdate">. Retrieved <span class="nowrap">19 September</span> 2007</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Officers+and+Council&rft.pub=LMS&rft_id=http%3A%2F%2Fwww.lms.ac.uk%2Fcontact%2Findex.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20120702213645/http://www.newton.ac.uk/history/toland.html">"Professor John Toland FRS FRSE"</a>. <i>Isaac Newton Institute for Mathematical Sciences</i>. Isaac Newton Institute. Archived from <a rel="nofollow" class="external text" href="http://www.newton.ac.uk/history/toland.html">the original</a> on 2 July 2012<span class="reference-accessdate">. Retrieved <span class="nowrap">22 August</span> 2011</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Isaac+Newton+Institute+for+Mathematical+Sciences&rft.atitle=Professor+John+Toland+FRS+FRSE&rft_id=http%3A%2F%2Fwww.newton.ac.uk%2Fhistory%2Ftoland.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.newton.ac.uk/about/history/abrahams">"Professor David Abrahams"</a>. <i>newton.ac.uk</i>. 25 March 2021.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=newton.ac.uk&rft.atitle=Professor+David+Abrahams&rft.date=2021-03-25&rft_id=http%3A%2F%2Fwww.newton.ac.uk%2Fabout%2Fhistory%2Fabrahams&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFToland1978" class="citation journal cs1">Toland, J. F. (1978). "On the Existence of a Wave of Greatest Height and Stokes's Conjecture". <i>Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. <b>363</b> (1715): 469–485. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1978RSPSA.363..469T">1978RSPSA.363..469T</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1098%2Frspa.1978.0178">10.1098/rspa.1978.0178</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:120444295">120444295</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Proceedings+of+the+Royal+Society+A%3A+Mathematical%2C+Physical+and+Engineering+Sciences&rft.atitle=On+the+Existence+of+a+Wave+of+Greatest+Height+and+Stokes%27s+Conjecture&rft.volume=363&rft.issue=1715&rft.pages=469-485&rft.date=1978&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A120444295%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.1098%2Frspa.1978.0178&rft_id=info%3Abibcode%2F1978RSPSA.363..469T&rft.aulast=Toland&rft.aufirst=J.+F.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPetrunic" class="citation web cs1">Petrunic, Josipa. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20051018093715/http://www.giffordlectures.org/Author.asp?AuthorID=160">"George Gabriel Stokes"</a>. <i>Gifford Lecture Series</i>. 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Archived from <a rel="nofollow" class="external text" href="https://royalsociety.org/people/john-toland-12423/">the original</a> on 17 November 2015.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Professor+John+Toland+FRS&rft.place=London&rft.pub=royalsociety.org&rft.date=1999&rft.au=Anon&rft_id=https%3A%2F%2Froyalsociety.org%2Fpeople%2Fjohn-toland-12423%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span> One or more of the preceding sentences incorporates text from the royalsociety.org website where: <style data-mw-deduplicate="TemplateStyles:r1244412712">.mw-parser-output .templatequote{overflow:hidden;margin:1em 0;padding:0 32px}.mw-parser-output .templatequotecite{line-height:1.5em;text-align:left;margin-top:0}@media(min-width:500px){.mw-parser-output .templatequotecite{padding-left:1.6em}}</style><blockquote class="templatequote"><p>"All text published under the heading 'Biography' on Fellow profile pages is available under <a href="/wiki/Creative_Commons_license" title="Creative Commons license">Creative Commons Attribution 4.0 International License</a>." --<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20150925220834/https://royalsociety.org/about-us/terms-conditions-policies/">"Royal Society Terms, conditions and policies"</a>. 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LMS. 2000. Archived from <a rel="nofollow" class="external text" href="http://www.lms.ac.uk/activities/prizes_com/citations00/toland.html">the original</a> on 26 October 2005<span class="reference-accessdate">. Retrieved <span class="nowrap">19 September</span> 2007</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Citation+for+John+Francis+Toland&rft.pub=LMS&rft.date=2000&rft_id=http%3A%2F%2Fwww.lms.ac.uk%2Factivities%2Fprizes_com%2Fcitations00%2Ftoland.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span></span> </li> <li id="cite_note-sly-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-sly_13-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://royalsociety.org/grants-schemes-awards/awards/sylvester-medal/">"Sylvester Medal"</a>. <a href="/wiki/Royal_Society" title="Royal Society">Royal Society</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Sylvester+Medal&rft.pub=Royal+Society&rft_id=https%3A%2F%2Froyalsociety.org%2Fgrants-schemes-awards%2Fawards%2Fsylvester-medal%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJohn+Toland+%28mathematician%29" class="Z3988"></span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTel:_+4420_7679_2000" class="citation web cs1">Tel: +4420 7679 2000, University College London-Gower Street- London- WC1E 6BT. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20161120215645/https://www.ucl.ac.uk/srs/governance-and-committees/committees/hdfc/honorary-fellows">"Honorary Fellows of UCL"</a>. <i>www.ucl.ac.uk</i>. Archived from <a rel="nofollow" class="external text" href="https://www.ucl.ac.uk/srs/governance-and-committees/committees/hdfc/honorary-fellows">the original</a> on 20 November 2016<span class="reference-accessdate">. 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