| Sergei Vostokov | |
| Native Name: | Sergei Vladimirovich Vostokov |
| Birth Date: | April 13, 1945 |
| Birth Place: | Saint Petersburg, USSR |
| Field: | Mathematics |
| Work Institutions: | Saint Petersburg University |
| Alma Mater: | Saint Petersburg University |
| Doctoral Students: | Ivan Fesenko |
| Known For: | explicit formulas for the Hilbert symbol, Vostokov symbol |
| Prizes: | Chebyshev Prize (2014) |
Sergei Vladimirovich Vostokov (Russian: Сергей Владимирович Востоков; born April 13, 1945) is a Russian mathematician. He made major contributions to local number theory. He is a professor at St. Petersburg State University.
Vostokov developed an important class of explicit formulas for the Hilbert symbol on local fields, which have a wide range of applications in number theory.[1]
His formulas generalize to formal groups. A generalization of his explicit formula to higher local fields is called the Vostokov symbol. It plays an important role in higher local class field theory.[2]
For his 60th birthday, two special volumes of St Petersburg Mathematical Society of Vostokov were published in Russian and English by the American Mathematical Society.[3] [4]
In 2014 Vostokov was awarded the Chebyshev Prize.[5]