[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/en\/wiki19\/frank-calegari-wikipedia\/#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/en\/wiki19\/frank-calegari-wikipedia\/","headline":"Frank Calegari – Wikipedia","name":"Frank Calegari – Wikipedia","description":"before-content-x4 From Wikipedia, the free encyclopedia after-content-x4 Francesco Damien “Frank” Calegari is a professor of mathematics at the University of","datePublished":"2018-11-07","dateModified":"2018-11-07","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/en\/wiki19\/author\/lordneo\/#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/en\/wiki19\/author\/lordneo\/","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/en.wikipedia.org\/wiki\/Special:CentralAutoLogin\/start?type=1x1","url":"https:\/\/en.wikipedia.org\/wiki\/Special:CentralAutoLogin\/start?type=1x1","height":"1","width":"1"},"url":"https:\/\/wiki.edu.vn\/en\/wiki19\/frank-calegari-wikipedia\/","about":["Wiki"],"wordCount":2485,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4From Wikipedia, the free encyclopedia       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Francesco Damien “Frank” Calegari is a professor of mathematics at the University of Chicago working in number theory and the Langlands program.       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Calegari won a bronze medal and a silver medal at the International Mathematical Olympiad while representing Australia in 1992 and 1993 respectively.[1] Calegari received his PhD in mathematics from the University of California, Berkeley in 2002 under the supervision of Ken Ribet.[2]Calegari was a von Neumann Fellow of mathematics at the Institute for Advanced Study from 2010 to 2011.[3] He is a professor of mathematics at the University of Chicago.[4]As of 2020, Calegari is an Editor at Mathematische Zeitschrift and an Associate Editor of the Annals of Mathematics.[5][6]Table of Contents       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Research[edit]Selected publications[edit]Personal life[edit]References[edit]External links[edit]Research[edit]Calegari works in algebraic number theory, including Langlands reciprocity and torsion classes in the cohomology of arithmetic groups.[4]Calegari was a 5-year American Institute of Mathematics Fellow.[7]Selected publications[edit]Calegari, Frank (2011). “Even Galois representations and the Fontaine\u2013Mazur conjecture”. Inventiones Mathematicae. 185 (1): 1\u201316. arXiv:0907.3427. Bibcode:2011InMat.185….1C. doi:10.1007\/s00222-010-0297-0. ISSN\u00a00020-9910. S2CID\u00a08937648.Calegari, Frank; Emerton, Matthew (2005). “On the ramification of Hecke algebras at Eisenstein primes”. Inventiones Mathematicae. 160 (1): 97\u2013144. arXiv:math\/0311368. Bibcode:2005InMat.160…97C. doi:10.1007\/s00222-004-0406-z. ISSN\u00a00020-9910. S2CID\u00a014827842.Calegari, Frank; Emerton, Matthew (2009). “Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms”. Annals of Mathematics. Second Series. 170 (3): 1437\u20131446. doi:10.4007\/annals.2009.170.1437. ISSN\u00a00003-486X.Calegari, Frank; Geraghty, David (2018). “Modularity lifting beyond the Taylor\u2013Wiles method”. Inventiones Mathematicae. 211 (1): 297\u2013433. arXiv:1207.4224. Bibcode:2018InMat.211..297C. doi:10.1007\/s00222-017-0749-x. ISSN\u00a00020-9910. S2CID\u00a016364057.Calegari, Frank; Geraghty, David (2020). “Minimal modularity lifting for nonregular symplectic representations”. Duke Mathematical Journal. 169 (5): 801\u2013896. arXiv:1907.08691. doi:10.1215\/00127094-2019-0044. ISSN\u00a00012-7094. S2CID\u00a085504517.Personal life[edit]Mathematician Danny Calegari is Frank Calegari’s brother.[8]References[edit]External links[edit]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 \"}]]>.navbox-abovebelow,.mw-parser-output tr+tr>.navbox-group,.mw-parser-output tr+tr>.navbox-image,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}]]>       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/en\/wiki19\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/en\/wiki19\/frank-calegari-wikipedia\/#breadcrumbitem","name":"Frank Calegari – Wikipedia"}}]}]