Frank Calegari | |
|---|---|
| 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. 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. arXiv:0704.0662. 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
- ↑ "Frank Calegari". International Mathematical Olympiad. Retrieved 6 March 2020.
- ↑ Frank Calegari at the Mathematics Genealogy Project
- ↑ "Francesco Damien Calegari". Institute for Advanced Study. 9 December 2019. Retrieved 6 March 2020.
- 1 2 "Frank Calegari". University of Chicago. Retrieved 6 March 2020.
- ↑ "Mathematische Zeitschrift | Editors". Springer Science+Business Media. Retrieved 6 March 2020.
- ↑ "Editorial Board". Annals of Mathematics. Retrieved 6 March 2020.
- ↑ "Frank Calegari". Retrieved 6 March 2020.
- ↑ "Family, Collaborators, Students". Retrieved 6 March 2020.