Frank Calegari
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 | |
Francesco Damien "Frank" Calegari is a professor of mathematics at the University of Chicago working in number theory and the Langlands program.
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. doi:10.1007/s00222-010-0297-0. ISSN 0020-9910.
- Calegari, Frank; Emerton, Matthew (2005). "On the ramification of Hecke algebras at Eisenstein primes". Inventiones mathematicae. 160 (1): 97–144. arXiv:math/0311368. doi:10.1007/s00222-004-0406-z. ISSN 0020-9910.
- Calegari, Frank; Emerton, Matthew (2009). "Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms". Annals of Mathematics (2). 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. doi:10.1007/s00222-017-0749-x. ISSN 0020-9910.
- Calegari, Frank; Geraghty, David (2020). "Minimal modularity lifting for nonregular symplectic representations". Duke Mathematical Journal. arXiv:1907.08691. doi:10.1215/00127094-2019-0044. ISSN 0012-7094.
Personal life
Mathematician Danny Calegari is Frank Calegari's brother.[8]
References
- ^ "Frank Calegari". International Mathematical Olympiad. Retrieved March 6, 2020.
- ^ Frank Calegari at the Mathematics Genealogy Project
- ^ "Francesco Damien Calegari". Institute for Advanced Study. Retrieved March 6, 2020.
- ^ a b "Frank Calegari". University of Chicago. Retrieved March 6, 2020.
- ^ "Mathematische Zeitschrift | Editors". Springer Science+Business Media. Retrieved March 6, 2020.
- ^ "Editorial Board". Annals of Mathematics. Retrieved March 6, 2020.
- ^ "Frank Calegari". Retrieved March 6, 2020.
- ^ "Family, Collaborators, Students". Retrieved March 6, 2020.
External links
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| National | |
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