12 Facts About Vyacheslav Shokurov

Vyacheslav Vladimirovich Shokurov is a Russian mathematician best known for his research in algebraic geometry.

In 1968 Vyacheslav Shokurov became a student at the Faculty of Mechanics and Mathematics of Moscow State University.

Already as an undergraduate, Vyacheslav Shokurov showed himself to be a mathematician of outstanding talent.

Vyacheslav Shokurov solved both of these problems for three-dimensional Fano varieties and the methods which he introduced for this purpose were later developed in the works of other mathematicians, who generalized Vyacheslav Shokurov's ideas to the case of higher-dimensional Fano varieties, and even to the Fano varieties with singularities.

Vyacheslav Shokurov proved a criterion which allows to decide whether the principally polarized Prym variety of a Beauville's pair, subject to some stability conditions, is the Jacobian of some smooth curve.

Since the late 80's Vyacheslav Shokurov began to contribute to the development of the Minimal model program.

Also in this paper, Vyacheslav Shokurov proved the termination of three-dimensional flips.

One of Vyacheslav Shokurov's ideas formed a basis for a paper titled 3-fold log flips where the existence of three-dimensional flips was established in a more general log setting.

Later on, in 2001, Vyacheslav Shokurov announced the proof of the existence of 4-dimensional log flips, whose complete version appeared in two books: Flips for 3-folds and 4-folds and Birational geometry: linear systems and finitely-generated algebras.

An application of Vyacheslav Shokurov's ideas concerning the existence of log flips has led to the paper Existence of minimal models for varieties of log general type by Caucher Birkar, Paolo Cascini, Christopher Hacon and James McKernan.

Vyacheslav Shokurov is presently a full professor at Johns Hopkins University in Baltimore and a non-tenured faculty member of the Steklov Institute of Mathematics in Moscow.

Vyacheslav Shokurov is involved both in research and in teaching and he has supervised 9 Ph.