Frank Calegari

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

Frank Calegari
Frank Calegari at Oberwolfach in 2007
Alma mater	University of California, Berkeley
Scientific career
Fields	Mathematics
Institutions	University of Chicago Institute for Advanced Study
Thesis	Ramification and Semistable Abelian Varieties (2002)
Doctoral advisor	Ken Ribet
Notes
Brother of Danny Calegari

Career

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

Calegari works in algebraic number theory, including Langlands reciprocity and torsion classes in the cohomology of arithmetic groups.[4]

Awards

Calegari was a 5-year American Institute of Mathematics Fellow.[7]

Selected publications

• 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

Mathematician Danny Calegari is Frank Calegari's brother.[8]

References

1. "Frank Calegari". International Mathematical Olympiad. Retrieved March 6, 2020.
2. Frank Calegari at the Mathematics Genealogy Project
3. "Francesco Damien Calegari". Institute for Advanced Study. Retrieved March 6, 2020.
4. "Frank Calegari". University of Chicago. Retrieved March 6, 2020.
5. "Mathematische Zeitschrift | Editors". Springer Science+Business Media. Retrieved March 6, 2020.
6. "Editorial Board". Annals of Mathematics. Retrieved March 6, 2020.
7. "Frank Calegari". Retrieved March 6, 2020.
8. "Family, Collaborators, Students". Retrieved March 6, 2020.

External links

• Frank Calegari at the Mathematics Genealogy Project