Igor Shafarevich
| Igor Shafarevich | |
|---|---|
 |
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| Born | Igor Rostislavovich Shafarevich 3 June 1923 Zhytomyr,Ukrainian SSR, Soviet Union |
| Died | 19 February 2017 (aged 93) Moscow, Russia |
| Nationality | Russian |
| Fields | Mathematics |
| Institutions | Lomonosov Moscow State University |
| Alma mater | Steklov Institute of Mathematics |
| Doctoral advisor | Boris Delaunay |
| Doctoral students |
Igor Dolgachev Evgeny Golod Alexei Kostrikin Yuri Manin Boris Moishezon |
Igor Rostislavovich Shafarevich (Russian: И́горь Ростисла́вович Шафаре́вич; 3 June 1923 – 19 February 2017) was a Russian mathematician who contributed to algebraic number theory and algebraic geometry. He wrote books and articles that criticize socialism, and was an important dissident during the Soviet regime.
Shafarevich died on 19 February 2017 in Moscow, at the age of 93.
Shafarevich made fundamental contributions to several parts of mathematics including algebraic number theory, algebraic geometry and arithmetic algebraic geometry. In algebraic number theory the Shafarevich–Weil theorem extends the commutative reciprocity map to the case of Galois groups which are extensions of abelian groups by finite groups. Shafarevich was the first to give a completely self-contained formula for the pairing which coincides with the wild Hilbert symbol on local fields, thus initiating an important branch of the study of explicit formulas in number theory. Another famous result is Shafarevich's theorem on solvable Galois groups giving the realization of every finite solvable group as the Galois group over rationals. Another fundamental result is the Golod–Shafarevich theorem on towers of unramified extensions of number fields.
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