Sergei Vostokov

Sergei Vladimirovich Vostokov (; 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.

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.

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.

Vostokov died on 7 March 2025, at the age of 79.

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.

In 2014, Vostokov was awarded the Chebyshev Prize.