Alexander Beilinson
| Alexander Beilinson | |
|---|---|
| Born |
June 13, 1957 Moscow, Soviet Union |
| Nationality | Russian |
| Fields | Mathematics |
| Institutions | University of Chicago |
| Doctoral advisor | Yuri I. Manin |
| Doctoral students |
Eitan Bachmat Lorenzo Ramero Andrés Rodríguez Ilya Shapiro |
| Known for | Contributions to representation theory, algebraic geometry and mathematical physics; perverse sheaves |
| Notable awards | Ostrowski Prize (1999) |
| Children | Helen; Vera |
Alexander A. Beilinson (born 1957) 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.
In 1978, Beilinson published a paper on coherent sheaves and several problems in linear algebra. His two-page note in the journal Functional Analysis and Its Applications was one of the papers on the study of derived categories of coherent sheaves.
In 1981 Beilinson announced a proof of the Kazhdan–Lusztig conjectures and Jantzen conjectures with Joseph Bernstein. Independent of Beilinson and Bernstein, Brylinski and Kashiwara obtained a proof of the Kazhdan–Lusztig conjectures. However, the proof of Beilinson–Bernstein introduced a method of localization. This established a geometric description of the entire category of representations of the Lie algebra, by "spreading out" representations as geometric objects living on the flag variety. These geometric objects naturally have an intrinsic notion of parallel transport: they are D-modules.
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