Frank Calegari
Frank Calegari | |
|---|---|
 Frank Calegari at Oberwolfach in 2007 | |
| Alma mater | University of California, Berkeley |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of ChicagoInstitute 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. 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 March 6, 2020.
- ^ Frank Calegari at the Mathematics Genealogy Project
- ^ "Francesco Damien Calegari". Institute for Advanced Study. Retrieved March 6, 2020.
- ^ Jump up to: 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[]
| hide Authority control  | |
|---|---|
| General | |
| National libraries | |
| Scientific databases | |
- 20th-century mathematicians
- 21st-century mathematicians
- Number theorists
- Living people
- University of Chicago faculty
- UC Berkeley College of Letters and Science alumni
- Institute for Advanced Study visiting scholars
- International Mathematical Olympiad participants
- Australian mathematicians