Frank Calegari – Wikipedia

Francesco Damien “Frank” Calegari is a professor of mathematics at the University of Chicago working in number theory and the Langlands program.

Calegari 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]

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–Mazur conjecture”. Inventiones Mathematicae. 185 (1): 1–16. arXiv:0907.3427. Bibcode:2011InMat.185….1C. doi:10.1007/s00222-010-0297-0. ISSN 0020-9910. S2CID 8937648.

• Calegari, Frank; Emerton, Matthew (2005). “On the ramification of Hecke algebras at Eisenstein primes”. Inventiones Mathematicae. 160 (1): 97–144. arXiv:math/0311368. Bibcode:2005InMat.160…97C. doi:10.1007/s00222-004-0406-z. ISSN 0020-9910. S2CID 14827842.
• 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): 1437–1446. doi:10.4007/annals.2009.170.1437. ISSN 0003-486X.
• Calegari, Frank; Geraghty, David (2018). “Modularity lifting beyond the Taylor–Wiles method”. Inventiones Mathematicae. 211 (1): 297–433. arXiv:1207.4224. Bibcode:2018InMat.211..297C. doi:10.1007/s00222-017-0749-x. ISSN 0020-9910. S2CID 16364057.
• Calegari, Frank; Geraghty, David (2020). “Minimal modularity lifting for nonregular symplectic representations”. Duke Mathematical Journal. 169 (5): 801–896. arXiv:1907.08691. doi:10.1215/00127094-2019-0044. ISSN 0012-7094. S2CID 85504517.

Personal life[edit]

Mathematician Danny Calegari is Frank Calegari’s brother.^[8]

References[edit]

External links[edit]