Ana Caraiani

Ana Caraiani (* 1985 in Bucharest ) is a Romanian - American mathematician.

Caraiani took part in the Mathematics Olympiad for Romania (silver medal 2001, gold medal 2002, 2003) and studied from 2003 at Princeton University with a bachelor's degree summa cum laude with Andrew Wiles . She received several awards at Princeton. She then continued her studies at Harvard University , where she did her doctorate with Richard Taylor in 2012 (dissertation: Local-global compatibility and the action of monodromy on nearby cycles ). She then was Dickson Instructor at the University of Chicago and from 2013 to 2016 Veblen Research Instructor and NSF Postdoctoral Fellow at Princeton University and the Institute for Advanced Study . In 2016/17 she was a Bonn Junior Fellow at the Hausdorff Center for Mathematics at the University of Bonn and again from 2018 a Bonn Research Fellow. In 2017 she became a Royal Society Research Fellow and Senior Lecturer at Imperial College London , where she became Reader and Royal Society University Research Fellow in 2019 .

It deals with arithmetic geometry , Shimura varieties , the classical and p-adic Langlands program , algebraic number theory and Galois representations .

She became a Putnam Fellow in 2003/04 and received the Elizabeth Lowell Putnam Prize. In 2006 she was a member of the Putnam competition team that won first prize. In 2007 she became a Putnam Fellow for a second time and in the same year received the Alice T. Schafer Prize of the Association for Women in Mathematics . In 2014 she was at MSRI . In 2018 she received the Whitehead Prize and the von Neumann Fellowship of the IAS, which she declined because she was on maternity leave. In 2019 she received an ERC Starting Grant (p-adic arithmetic geometry, torsion classes and modularity). For 2020/21 she received the EMS Prize . She became a Fellow of the American Mathematical Society in 2020 , in particular for contributions to the p-adic Langland program.

Fonts (selection)

• Local-global compatibility and the action of monodromy on nearby cycles , Duke Math. J., Volume 161, 2012, pp. 2311-2413, Arxiv
• Local-global compatibility and monodromy for l = p , Algebra & Number Theory, Volume 8, 2014, pp. 1597-1646. Arxiv
• with Matthew Emerton , Toby Gee , D. Geraghty, V. Paskunas, SW Shin: Patching and the p-adic local Langlands correspondence , Cambridge Journal of Math., Volume 4, 2016, No. 2, pp. 197-287. Arxiv
• with Peter Scholze : On the generic part of the cohomology of compact unitary Shimura varieties , Annals of Math., Volume 186, 2017, pp. 647-766. Arxiv
• with M. Emerton, T. Gee, D. Geraghty, V. Paskunas, SW Shin: Patching and the p-adic Langlands program for GL2 (Qp) , Compositio Math., Volume 154, 2018, pp. 503-548. Arxiv
• with P. Allen, Frank Calegari , T. Gee, D. Helm, B. Le Hung, J. Newton, P. Scholze, R. Taylor , Jack Thorne : Potential automorphy over CM fields , Arxiv 2018
• Perfectoid Shimura varieties , in: Bryden Cais (Ed.), Perfectoid spaces: Lectures from the 2017 Arizona Winter School, Mathematical Surveys and Monographs 242, American Mathematical Society, 2019
• with Peter Scholze: On the generic part of the cohomology of non-compact unitary Shimura varieties , Arxiv 2019
• with M. Emerton, T. Gee, D. Savitt: Moduli stacks of 2-dimensional Galois representations , Arxiv 2019

Web links

• Homepage at Imperical College , with CV
• Ana Caraiani, in "50 Top Women in STEM" (Science Technology Engineering Mathematics)

Individual evidence

1. ^ Sara Rimer: Math Skills Suffer in US, Study Finds. The New York Times, October 10, 2008, accessed May 11, 2020 . 
2. ^ Princeton interviews. coursehero.com, accessed on May 11, 2020 . 
3. ↑ IMO entry Caraiani
4. ↑ Ana Caraiani in the Mathematics Genealogy Project (English)
5. ^ Putnam Fellow .
6. ↑ Information on Ana Caraiani from The Mathematical Association of America on January 6, 2007, accessed on May 11, 2020 (English).
7. ↑ Biography of the winners of the EMS Prize