Dmitry Orlov

Dmitri Olegovich Orlov, (Дмитрий Олегович Орлов, born September 19, 1966, in Vladimir, Russia) is a Russian mathematician, specializing in algebraic geometry. He is known for the Bondal-Orlov reconstruction theorem.

Education and career In 1988 Orlov graduated from the Faculty of Mechanics and Mathematics of Moscow State University. There he received his Candidate of Sciences degree (PhD) 1991 with thesis Производные категории когерентных пучков, моноидальные преобразования и многообразия Фано (Derived categories of coherent sheaves, monoidal transformations and Fano varieties) under Vasilii Alekseevich Iskovskikh (and Alexey Igorevich Bondal). At the Steklov Institute of Mathematics, Orlov was from April 1996 to April 2011 a researcher in the Algebra Department and is since April 2011 the head of the Algebraic Geometry Department. In 2002 Orlov received his Doctor of Sciences degree (habilitation) with thesis Производные категории когерентных пучков и эквивалентности между ними (Derived categories of coherent sheaves and equivalences between them). In 2002 he was, with A. Bondal, an Invited Speaker with talk Derived categories of coherent sheaves at the International Congress of Mathematicians in Beijing.

Orlov's research deals with homological algebra, (derived categories, triangulated categories), algebraic geometry (derived algebraic geometry, homological mirror symmetry, quasicoherent sheaves, and noncommutative geometry.

He was elected on December 20, 2011, a corresponding member and on 15 November 2019 a full member of the Russian Academy of Sciences.

Selected publications