Ana Caraiani

Last updated

Ana Caraiani
Born1985 (age 38–39)
Bucharest, Romania
Alma mater
Awards
Scientific career
FieldsMathematics
Institutions
Thesis Local-global compatibility and the action of monodromy on nearby cycles  (2012)
Doctoral advisor Richard Taylor
Other academic advisors Andrew Wiles

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.

Contents

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 -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]

Related Research Articles

In mathematics, the Sato–Tate conjecture is a statistical statement about the family of elliptic curves Ep obtained from an elliptic curve E over the rational numbers by reduction modulo almost all prime numbers p. Mikio Sato and John Tate independently posed the conjecture around 1960.

<span class="mw-page-title-main">Richard Taylor (mathematician)</span> British mathematician

Richard Lawrence Taylor is a British mathematician working in the field of number theory. He is currently the Barbara Kimball Browning Professor in Humanities and Sciences at Stanford University.

<span class="mw-page-title-main">Arithmetic geometry</span> Branch of algebraic geometry focused on problems in number theory

In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties.

<span class="mw-page-title-main">Trevor Wooley</span> British mathematician

Trevor Dion Wooley FRS is a British mathematician and currently Professor of Mathematics at Purdue University. His fields of interest include analytic number theory, Diophantine equations and Diophantine problems, harmonic analysis, the Hardy-Littlewood circle method, and the theory and applications of exponential sums. He has made significant breakthroughs on Waring's problem, for which he was awarded the Salem Prize in 1998.

<span class="mw-page-title-main">Ravi Vakil</span> Canadian-American mathematician

Ravi D. Vakil is a Canadian-American mathematician working in algebraic geometry.

Nicholas Ian Shepherd-Barron, FRS, is a British mathematician working in algebraic geometry. He is a professor of mathematics at King's College London.

<span class="mw-page-title-main">Martin Hairer</span> Austrian-British mathematician

Sir Martin Hairer is an Austrian-British mathematician working in the field of stochastic analysis, in particular stochastic partial differential equations. He is Professor of Mathematics at EPFL and at Imperial College London. He previously held appointments at the University of Warwick and the Courant Institute of New York University. In 2014 he was awarded the Fields Medal, one of the highest honours a mathematician can achieve. In 2020 he won the 2021 Breakthrough Prize in Mathematics.

Michael Howard Harris is an American mathematician known for his work in number theory. He is a professor of mathematics at Columbia University and professor emeritus of mathematics at Université Paris Cité.

<span class="mw-page-title-main">Peter Scholze</span> German mathematician (born 1987)

Peter Scholze is a German mathematician known for his work in arithmetic geometry. He has been a professor at the University of Bonn since 2012 and director at the Max Planck Institute for Mathematics since 2018. He has been called one of the leading mathematicians in the world. He won the Fields Medal in 2018, which is regarded as the highest professional honor in mathematics.

Colin John Bushnell was a British mathematician specialising in number theory and representation theory. He spent most of his career at King's College London, including a stint as the head of the School of Physical Sciences and Engineering, and made several contributions to the representation theory of reductive p-adic groups and the local Langlands correspondence.

The Breakthrough Prize in Mathematics is an annual award of the Breakthrough Prize series announced in 2013.

Haruzo Hida is a Japanese mathematician, known for his research in number theory, algebraic geometry, and modular forms.

<span class="mw-page-title-main">Kari Vilonen</span> Finnish mathematician (born 1955)

Kari Kaleva Vilonen is a Finnish mathematician, specializing in geometric representation theory. He is currently a professor at the University of Melbourne.

Vincent Pilloni is a French mathematician, specializing in arithmetic geometry and the Langlands program.

Jack A. Thorne is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory.

Sug Woo Shin is a professor of mathematics at the University of California, Berkeley working in number theory, automorphic forms, and the Langlands program.

Francesco Damien "Frank" Calegari is a professor of mathematics at the University of Chicago working in number theory and the Langlands program.

Samit Dasgupta is a professor of mathematics at Duke University working in algebraic number theory.

<span class="mw-page-title-main">Bhargav Bhatt (mathematician)</span> Indian-American mathematician

Bhargav Bhatt is an Indian-American mathematician who is the Fernholz Joint Professor at the Institute for Advanced Study and Princeton University and works in arithmetic geometry and commutative algebra.

<span class="mw-page-title-main">Jessica Fintzen</span> German mathematician

Jessica Fintzen is a German mathematician whose research concerns the representation theory of algebraic groups over the p-adic numbers, with connections to the Langlands program. She is a professor at the University of Bonn.

References

  1. 1 2 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. 1 2 "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. 1 2 3 4 5 6 7 8 9 "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. 1 2 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. International Press of Boston. 4 (2): 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. European Mathematical Society (119): 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.
This page is based on this Wikipedia article
Text is available under the CC BY-SA 4.0 license; additional terms may apply.
Images, videos and audio are available under their respective licenses.