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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.
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Alexander A. Beilinson is the David and Mary Winton Green University professor at the University of Chicago and works on mathematics. His research has spanned representation theory, algebraic geometry and mathematical physics. In 1999, Beilinson was awarded the Ostrowski Prize with Helmut Hofer. In 2017, he was elected to the National Academy of Sciences.
Mark David Haiman is a mathematician at the University of California at Berkeley who proved the Macdonald positivity conjecture for Macdonald polynomials. He received his Ph.D in 1984 in the Massachusetts Institute of Technology under the direction of Gian-Carlo Rota. Previous to his appointment at Berkeley, he held positions at the University of California, San Diego and the Massachusetts Institute of Technology.
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Jack A. Thorne is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory.
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Andrew Victor Sutherland is an American mathematician and Principal Research Scientist at the Massachusetts Institute of Technology. His research focuses on computational aspects of number theory and arithmetic geometry. He is known for his contributions to several projects involving large scale computations, including the Polymath project on bounded gaps between primes, the L-functions and Modular Forms Database, the sums of three cubes project, and the computation and classification of Sato-Tate distributions.
Sug Woo Shin is a professor of mathematics at the University of California, Berkeley working in number theory, automorphic forms, and the Langlands program.
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References
- ↑ "Prizes 2012" (PDF). London Mathematical Society.
- ↑ "Philip Leverhulme Prize Winners 2012" (PDF). The Leverhulme Trust.
- ↑ "2014 Class of the Fellows of the AMS" (PDF). American Mathematical Society.
- ↑ Gee, Toby; Kisin, Mark (December 2014). "The Breuil–Mézard Conjecture For Potentially Barsotti–Tate Representations". Forum of Mathematics, Pi. 2. arXiv: 1208.3179 . doi:10.1017/fmp.2014.1. ISSN 2050-5086. S2CID 16351884.
- ↑ Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David (2011). "The Sato–Tate conjecture for Hilbert modular forms". Journal of the American Mathematical Society. 24 (2): 411–469. arXiv: 0912.1054 . doi:10.1090/S0894-0347-2010-00689-3. ISSN 0894-0347. S2CID 12534084.
- ↑ "Prizewinners 2012". Bulletin of the London Mathematical Society. 45 (2): 421–428. 1 April 2013. doi:10.1112/blms/bdt015. ISSN 0024-6093. S2CID 247674468.
