Ana Caraiani (born 1985)[1] is a Romanian-American mathematician, who is a Royal Society University Research Fellow and Hausdorff Chair at the University of Bonn. Her research interests include algebraic number theory and the Langlands program.
Ana Caraiani | |
|---|---|
| Born | 1985 (age 38–39) Bucharest, Romania |
| Alma mater | |
| Awards |
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| Scientific career | |
| Fields | Mathematics |
| Institutions | |
| Thesis | Local-global compatibility and the action of monodromy on nearby cycles (2012) |
| Doctoral advisor | Richard Taylor |
| Other academic advisors | Andrew Wiles |
Education
editShe was born in Bucharest[2] and studied at Mihai Viteazul High School.[3] In 2001, Caraiani became the first Romanian female competitor in 15 years at the International Mathematical Olympiad, where she won a silver medal. In the following two years, she won two gold medals.[4][1][3]
After graduating high school in 2003, she pursued her studies in the United States.[5] As an undergraduate student at Princeton University, Caraiani was a two-time Putnam Fellow (the only female competitor at the William Lowell Putnam Mathematical Competition to win more than once) and Elizabeth Lowell Putnam Award winner.[4][6][7] Caraiani graduated summa cum laude from Princeton in 2007, with an undergraduate thesis on Galois representations supervised by Andrew Wiles.[4]
Caraiani did her graduate studies at Harvard University under the supervision of Wiles' student Richard Taylor, earning her Ph.D. in 2012 with a dissertation concerning local-global compatibility in the Langlands correspondence.[4][8]
Career
editAfter spending a year as an L.E. Dickson Instructor at the University of Chicago, she returned to Princeton and the Institute for Advanced Study as a Veblen Instructor and NSF Postdoctoral Fellow.[4] In 2016, she moved to the Hausdorff Center for Mathematics as a Bonn Junior Fellow.[4] She moved to Imperial College London in 2017 as a Royal Society University Research Fellow and Senior Lecturer.[4] In 2019, she became a Royal Society University Research Fellow and Reader at Imperial College London.[4] As of 2021, Caraiani is a full professor at Imperial College London.[9] She rejoined the University of Bonn in 2022 as Hausdorff Chair.
Research
editCaraiani's research work includes the papers "Patching and the p-adic local Langlands correspondence" (2016),[10] "On the generic part of the cohomology of compact unitary Shimura varieties" (2017)[11] with Peter Scholze, and "Potential automorphy over CM fields" (2023).[12] These three papers all happen to be directly related to the Langlands program, but she does have other interests.[citation needed]
Caraiani discusses the Langlands program from a more general perspective in the survey article "New frontiers in Langlands reciprocity".[13]
Recognition
editIn 2007, the Association for Women in Mathematics awarded Caraiani their Alice T. Schafer Prize.[4][6] In 2018, she was one of the winners of the Whitehead Prize of the London Mathematical Society.[14]
She was elected as a Fellow of the American Mathematical Society in the 2020 Class, for "contributions to arithmetic geometry and number theory, in particular the -adic Langlands program".[15] She is one of the 2020 winners of the EMS Prize.[16] In September 2022 she was awarded the 2023 New Horizons in Mathematics Prize.[17] She was elected to the Academia Europaea in 2024.[18]
References
edit- ^ a b Rimer, Sara (October 10, 2008), "Math Skills Suffer in U.S., Study Finds", The New York Times, retrieved January 6, 2021
- ^ "50 Top Women in STEM", thebestschools.org, October 29, 2020, archived from the original on January 9, 2021, retrieved January 6, 2021
- ^ a b "Ana Caraiani – de la "Mihai Viteazul" – medalie de aur si la Olimpiada de Matematica de la Tokyo", Curierul Național (in Romanian), July 21, 2003, archived from the original on December 31, 2014, retrieved December 30, 2014.
- ^ a b c d e f g h i "Ana Caraiani" (PDF), Ana Caraiani, retrieved March 21, 2021
- ^ "Ana: matematica pură", Jurnalul Național (in Romanian), May 31, 2004, retrieved January 6, 2021
- ^ a b Seventeenth Annual Alice T. Schafer Prize, Association for Women in Mathematics, retrieved December 30, 2014.
- ^ Young, Ellen (April 14, 2004), "Caraiani wins prestigious Putnam prize at math competition", Daily Princetonian, archived from the original on December 31, 2014, retrieved December 30, 2014.
- ^ Ana Caraiani at the Mathematics Genealogy Project.
- ^ "Home – Professor Ana Caraiani", Imperial College London, retrieved September 10, 2021
- ^ Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo (2016), "Patching and the $p$-adic local Langlands correspondence", Cambridge Journal of Mathematics, 4 (2), International Press of Boston: 197–287, arXiv:1310.0831, doi:10.4310/cjm.2016.v4.n2.a2, ISSN 2168-0930, S2CID 55536362
- ^ Caraiani, Ana; Scholze, Peter (November 1, 2017), "On the generic part of the cohomology of compact unitary Shimura varieties", Annals of Mathematics, 186 (3), arXiv:1511.02418, doi:10.4007/annals.2017.186.3.1, ISSN 0003-486X, S2CID 119610554
- ^ Allen, Patrick; Calegari, Frank; Caraiani, Ana; Gee, Toby; Helm, David; Le Hung, Bao; Newton, James; Scholze, Peter; Taylor, Richard; Thorne, Jack (May 1, 2023), "Potential automorphy over CM fields", Annals of Mathematics, 197 (3), arXiv:1812.09999, doi:10.4007/annals.2023.197.3.2, ISSN 0003-486X, S2CID 119605045
- ^ Caraiani, Ana (June 14, 2021), "New frontiers in Langlands reciprocity", EMS Magazine (119), European Mathematical Society: 8–16, doi:10.4171/mag/3, ISSN 2747-7894
- ^ "Prizes of the London Mathematical Society" (PDF), Mathematics People, Notices of the American Mathematical Society, 65 (9): 1122, October 2018
- ^ 2020 Class of the Fellows of the AMS, American Mathematical Society, retrieved November 3, 2019
- ^ Prize Winners Announced, European Mathematical Society, May 8, 2020
- ^ "Winners of the 2023 Breakthrough Prizes in Life Sciences, Mathematics and Fundamental Physics Announced", breakthroughprize.org, Breakthrough Prize, September 22, 2022, retrieved December 26, 2022
- ^ "Ana Caraiani", Members, Academia Europaea, retrieved November 9, 2024
External links
edit- Caraiani's scores at the IMO Archived April 21, 2021, at the Wayback Machine
- Professional home page
- Personal home page
- Interview with Caraiani (in Romanian)