Dmitri Olegovich Orlov, (Дмитрий Олегович Орлов, born September 19, 1966, in
Vladimir, Russia
Vladimir ( rus, Влади́мир, p=vlɐ'dʲimʲɪr, a=Ru-Владимир.ogg) is a city and the administrative center of Vladimir Oblast, Russia, located on the Klyazma River, east of Moscow. It is served by a railway and the M7 motorway. ...
) is a Russian mathematician, specializing in algebraic geometry. He is known for the Bondal-Orlov reconstruction theorem (2001).
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
Vasilii (or Vasily) Alekseevich Iskovskikh (Василий Алексеевич Исковских, 1 July 1939, Orenburg Oblast – 4 January 2009, Moscow) was a Russian mathematician, specializing in algebraic geometry.
Education and career
Born ...
(and Alexey Igorevich Bondal).
At the
Steklov Institute of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute (russian: Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part ...
, 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
Doctor of Sciences ( rus, доктор наук, p=ˈdoktər nɐˈuk, abbreviated д-р наук or д. н.; uk, доктор наук; bg, доктор на науките; be, доктар навук) is a higher doctoral degree in the Russi ...
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
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the Nevanlinna Prize (to be rename ...
in Beijing.
Orlov's research deals with
homological algebra
Homological algebra is the branch of mathematics that studies homology (mathematics), homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precurs ...
, (
derived categories,
triangulated categories In mathematics, a triangulated category is a category with the additional structure of a "translation functor" and a class of "exact triangles". Prominent examples are the derived category of an abelian category, as well as the stable homotopy categ ...
),
algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
(
derived algebraic geometry Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide local charts, are replaced by either differential graded algebras (over \mathbb), simplicial commutative ...
,
homological mirror symmetry
Homological mirror symmetry is a mathematical conjecture made by Maxim Kontsevich. It seeks a systematic mathematical explanation for a phenomenon called mirror symmetry first observed by physicists studying string theory.
History
In an address t ...
, 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
The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across t ...
.
Selected publications
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References
External links
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{{DEFAULTSORT:Orlov, Dmitri Olegovich
1966 births
Living people
Moscow State University alumni
Academic staff of the Steklov Institute of Mathematics
Soviet mathematicians
20th-century Russian mathematicians
21st-century Russian mathematicians
Algebraic geometers