Sergei Vostokov

Sergei Vladimirovich Vostokov (Russian: Сергей Владимирович Востоков; 13 April 1945 – 7 March 2025) was a Russian mathematician who made major contributions to local number theory. He was a professor at St. Petersburg State University.

Sergei Vostokov
Сергей Востоков
Born	(1945-04-13)13 April 1945 Leningrad, Russian SFSR, USSR
Died	7 March 2025(2025-03-07) (aged 79)
Alma mater	Saint Petersburg University
Known for	explicit formulas for the Hilbert symbol, Vostokov symbol
Awards	Chebyshev Prize (2014)
Scientific career
Fields	Mathematics
Institutions	Saint Petersburg University
Doctoral students	Ivan Fesenko

Life and work

Vostokov developed an important class of explicit formulas for the Hilbert symbol on local fields, which had 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][failed verification]}

Vostokov died on 7 March 2025, at the age of 79.^[3]

Awards

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.^[4][5]

In 2014, Vostokov was awarded the Chebyshev Prize.^[6]

Bibliography

Books

• Fesenko, Ivan B.; Vostokov, S. V. (17 July 2002). Local Fields and Their Extensions: Second Edition. American Mathematical Society. ISBN 978-0-8218-3259-2.