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Ana Caraiani

Summary

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
Born1985 (age 38–39)
Bucharest, Romania
Alma mater
Awards
Scientific career
FieldsMathematics
Institutions
ThesisLocal-global compatibility and the action of monodromy on nearby cycles (2012)
Doctoral advisorRichard Taylor
Other academic advisorsAndrew Wiles

Education edit

She 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 edit

After 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 edit

Caraiani'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 edit

In 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]

References edit

  1. ^ a b Rimer, Sara (October 10, 2008). "Math Skills Suffer in U.S., Study Finds". The New York Times. Retrieved January 6, 2021.
  2. ^ "50 Top Women in STEM". thebestschools.org. October 29, 2020. Archived from the original on January 9, 2021. Retrieved January 6, 2021.
  3. ^ 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.
  4. ^ a b c d e f g h i "Ana Caraiani" (PDF). Ana Caraiani. Retrieved March 21, 2021.
  5. ^ "Ana: matematica pură". Jurnalul Național (in Romanian). May 31, 2004. Retrieved January 6, 2021.
  6. ^ a b Seventeenth Annual Alice T. Schafer Prize, Association for Women in Mathematics, retrieved December 30, 2014.
  7. ^ 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.
  8. ^ Ana Caraiani at the Mathematics Genealogy Project.
  9. ^ "Home – Professor Ana Caraiani". Imperial College London. Retrieved September 10, 2021.
  10. ^ 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.
  11. ^ 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.
  12. ^ 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.
  13. ^ 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.
  14. ^ "Prizes of the London Mathematical Society" (PDF), Mathematics People, Notices of the American Mathematical Society, 65 (9): 1122, October 2018
  15. ^ 2020 Class of the Fellows of the AMS, American Mathematical Society, retrieved November 3, 2019
  16. ^ Prize Winners Announced, European Mathematical Society, May 8, 2020
  17. ^ "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.

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)

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