Ana Caraiani

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.

Education

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

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

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

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 ${\displaystyle p}$-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

External links

• 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)

This page was last edited on 22 March 2024, at 06:03