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J. Peter May - Wikipedia
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Peter May</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. 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Peter May"</a> – <a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&q=%22J.+Peter+May%22+-wikipedia&tbs=ar:1">news</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?&q=%22J.+Peter+May%22&tbs=bkt:s&tbm=bks">newspapers</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?tbs=bks:1&q=%22J.+Peter+May%22+-wikipedia">books</a> <b>·</b> <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?q=%22J.+Peter+May%22">scholar</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22J.+Peter+May%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">February 2013</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <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><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">J. Peter May</div></th></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1939-09-16</span>) </span>September 16, 1939<span class="noprint ForceAgeToShow"> (age 85)</span><br /><div style="display:inline" class="birthplace"><a href="/wiki/New_York_City" title="New York City">New York</a></div></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/Swarthmore_College" title="Swarthmore College">Swarthmore College</a><br /><a href="/wiki/Princeton_University" title="Princeton University">Princeton University</a></td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><a href="/wiki/May_spectral_sequence" title="May spectral sequence">May spectral sequence</a>,<br /> coining the term "<a href="/wiki/Operad" title="Operad">operad</a>"</td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data">Fellow of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">AMS</a></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">Fields</th><td class="infobox-data category"><a href="/wiki/Mathematics" title="Mathematics">Mathematics</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/Yale_University" title="Yale University">Yale University</a><br /><a href="/wiki/University_of_Chicago" title="University of Chicago">University of Chicago</a></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://www.proquest.com/docview/302273947">The cohomology of restricted Lie algebras and of Hopf algebras: Application to the Steenrod algebra</a></i> <span style="font-size:97%;">(1964)</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"><a href="/wiki/John_Coleman_Moore" title="John Coleman Moore">John Moore</a></td></tr><tr><th scope="row" class="infobox-label">Doctoral students</th><td class="infobox-data"><a href="/w/index.php?title=Mark_Behrens&action=edit&redlink=1" class="new" title="Mark Behrens (page does not exist)">Mark Behrens</a>, <a href="/w/index.php?title=Andrew_Blumberg&action=edit&redlink=1" class="new" title="Andrew Blumberg (page does not exist)">Andrew Blumberg</a>, <a href="/wiki/Frederick_R._Cohen" title="Frederick R. Cohen">Fred Cohen</a>, <a href="/w/index.php?title=Nick_Gurski&action=edit&redlink=1" class="new" title="Nick Gurski (page does not exist)">Nick Gurski</a>, <a href="/w/index.php?title=Nick_Kuhn&action=edit&redlink=1" class="new" title="Nick Kuhn (page does not exist)">Nick Kuhn</a>, <a href="/wiki/Ib_Madsen" title="Ib Madsen">Ib Madsen</a>, <a href="/wiki/Emily_Riehl" title="Emily Riehl">Emily Riehl</a>, <a href="/wiki/Michael_Shulman_(mathematician)" title="Michael Shulman (mathematician)">Mike Shulman</a>, <a href="/wiki/Zhouli_Xu" title="Zhouli Xu">Zhouli Xu</a></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="https://www.math.uchicago.edu/~may">www<wbr />.math<wbr />.uchicago<wbr />.edu<wbr />/~may</a></span></td></tr></tbody></table> <p><b>Jon Peter May</b> (born September 16, 1939, in <a href="/wiki/New_York_City" title="New York City">New York</a>) is an <a href="/wiki/Americans" title="Americans">American</a> <a href="/wiki/Mathematician" title="Mathematician">mathematician</a> working in the fields of <a href="/wiki/Algebraic_topology" title="Algebraic topology">algebraic topology</a>, <a href="/wiki/Category_theory" title="Category theory">category theory</a>, <a href="/wiki/Homotopy_theory" title="Homotopy theory">homotopy theory</a>, and the foundational aspects of <a href="/wiki/Spectrum_(homotopy_theory)" class="mw-redirect" title="Spectrum (homotopy theory)">spectra</a>. He is known, in particular, for the <a href="/wiki/May_spectral_sequence" title="May spectral sequence">May spectral sequence</a> and for coining the term <a href="/wiki/Operad_theory" class="mw-redirect" title="Operad theory">operad</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Education_and_career">Education and career</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=J._Peter_May&action=edit&section=1" title="Edit section: Education and career"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>May received a <a href="/wiki/Bachelor_of_Arts" title="Bachelor of Arts">Bachelor of Arts</a> degree from <a href="/wiki/Swarthmore_College" title="Swarthmore College">Swarthmore College</a> in 1960 and a <a href="/wiki/Doctor_of_Philosophy" title="Doctor of Philosophy">Doctor of Philosophy</a> degree from <a href="/wiki/Princeton_University" title="Princeton University">Princeton University</a> in 1964.<sup id="cite_ref-mg_1-0" class="reference"><a href="#cite_note-mg-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> His thesis, written under the direction of <a href="/wiki/John_Coleman_Moore" title="John Coleman Moore">John Moore</a>, was titled <i>The <a href="/wiki/Cohomology" title="Cohomology">cohomology</a> of restricted <a href="/wiki/Lie_algebra" title="Lie algebra">Lie algebras</a> and of <a href="/wiki/Hopf_algebra" title="Hopf algebra">Hopf algebras</a>: Application to the <a href="/wiki/Steenrod_algebra" title="Steenrod algebra">Steenrod algebra</a></i>. </p><p>From 1964 to 1967, May taught at <a href="/wiki/Yale_University" title="Yale University">Yale University</a>. He has been a faculty member at the <a href="/wiki/University_of_Chicago" title="University of Chicago">University of Chicago</a> since 1967, and a professor since 1970. </p><p>The word "<a href="/wiki/Operad" title="Operad">operad</a>" was created by May as a <a href="/wiki/Portmanteau" class="mw-redirect" title="Portmanteau">portmanteau</a> of "operations" and "<a href="/wiki/Monad_(category_theory)" title="Monad (category theory)">monad</a>".<sup class="plainlinks nourlexpansion citation" id="ref_Alpha"><a href="#endnote_Alpha">α</a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Awards">Awards</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=J._Peter_May&action=edit&section=2" title="Edit section: Awards"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In 2012 he became a fellow of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>.<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> He has advised over 60 doctoral students, including <a href="/w/index.php?title=Mark_Behrens&action=edit&redlink=1" class="new" title="Mark Behrens (page does not exist)">Mark Behrens</a>, <a href="/w/index.php?title=Andrew_Blumberg&action=edit&redlink=1" class="new" title="Andrew Blumberg (page does not exist)">Andrew Blumberg</a>, <a href="/wiki/Frederick_R._Cohen" title="Frederick R. Cohen">Frederick Cohen</a>, <a href="/wiki/Ib_Madsen" title="Ib Madsen">Ib Madsen</a>, <a href="/wiki/Emily_Riehl" title="Emily Riehl">Emily Riehl</a>, <a href="/wiki/Michael_Shulman_(mathematician)" title="Michael Shulman (mathematician)">Michael Shulman</a>, and <a href="/wiki/Zhouli_Xu" title="Zhouli Xu">Zhouli Xu</a>.<sup id="cite_ref-mg_1-1" class="reference"><a href="#cite_note-mg-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=J._Peter_May&action=edit&section=3" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <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"><ol class="references"> <li id="cite_note-mg-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-mg_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-mg_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=6608">J. Peter May</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></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 id="CITEREFMay" class="citation web cs1"><a class="mw-selflink selflink">May, J. Peter</a>. <a rel="nofollow" class="external text" href="https://www.math.uchicago.edu/~may/PAPERS/mayi.pdf">"Operads, Algebras, and Modules"</a> <span class="cs1-format">(PDF)</span>. <i>math.uchicago.edu</i>. p. 2<span class="reference-accessdate">. Retrieved <span class="nowrap">28 September</span> 2018</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=math.uchicago.edu&rft.atitle=Operads%2C+Algebras%2C+and+Modules&rft.pages=2&rft.aulast=May&rft.aufirst=J.+Peter&rft_id=https%3A%2F%2Fwww.math.uchicago.edu%2F~may%2FPAPERS%2Fmayi.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AJ.+Peter+May" class="Z3988"></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"><a rel="nofollow" class="external text" href="https://www.ams.org/profession/fellows-list">List of Fellows of the American Mathematical Society</a>, retrieved 2013-02-02.</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=J._Peter_May&action=edit&section=4" title="Edit section: Notes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><style data-mw-deduplicate="TemplateStyles:r1041539562">.mw-parser-output .citation{word-wrap:break-word}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}</style><span class="citation wikicite" id="endnote_Alpha"><b><a href="#ref_Alpha">^α</a></b></span> May himself has stated that he was partially inspired by his mother's opera singing when coining the term.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=J._Peter_May&action=edit&section=5" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.math.uchicago.edu/~may/">May's homepage at the University of Chicago</a></li> <li><a rel="nofollow" class="external text" href="https://genealogy.math.ndsu.nodak.edu/id.php?id=6608">Jon Peter May</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></li></ul> <div class="navbox-styles"><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 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