Askold Georgievich Khovanskii (russian: Аскольд Георгиевич Хованский; born 3 June 1947, Moscow) is a
Russian
Russian(s) refers to anything related to Russia, including:
*Russians (, ''russkiye''), an ethnic group of the East Slavic peoples, primarily living in Russia and neighboring countries
*Rossiyane (), Russian language term for all citizens and peo ...
and
Canadian
Canadians (french: Canadiens) are people identified with the country of Canada. This connection may be residential, legal, historical or cultural. For most Canadians, many (or all) of these connections exist and are collectively the source of ...
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
currently a professor of mathematics at the
University of Toronto
The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution ...
, Canada. His areas of research are
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 ...
,
commutative algebra
Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent ...
,
singularity theory
In mathematics, singularity theory studies spaces that are almost manifolds, but not quite. A string can serve as an example of a one-dimensional manifold, if one neglects its thickness. A singularity can be made by balling it up, dropping it ...
,
differential geometry
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...
and
differential equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
s. His research is in the development of the theory of
toric varieties In algebraic geometry, a toric variety or torus embedding is an algebraic variety containing an algebraic torus as an open dense subset, such that the action of the torus on itself extends to the whole variety. Some authors also require it to be no ...
and Newton polyhedra in algebraic geometry. He is also the inventor of the theory of
fewnomials.
He obtained his Ph.D. from
Steklov Mathematical Institute
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 o ...
in Moscow under the supervision of
Vladimir Arnold
Vladimir Igorevich Arnold (alternative spelling Arnol'd, russian: link=no, Влади́мир И́горевич Арно́льд, 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician. While he is best known for the Kolmogorov–A ...
. In his
Ph.D.
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...
thesis, he developed a topological version of
Galois theory
In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing certain problems in field theory to ...
. He studies the theory of
Newton–Okounkov bodies, or Okounkov bodies for short.
Among his graduate students are Olga Gel'fond, Feodor Borodich, H. Petrov-Tan'kin, Kiumars Kaveh, Farzali Izadi, Ivan Soprunov, Jenya Soprunova, Vladlen Timorin, Valentina Kirichenko, Sergey Chulkov, V. Kisunko, Mikhail Mazin, O. Ivrii, K. Matveev, Yuri Burda, and J. Yang.
In 2014, he received the
Jeffery–Williams Prize The Jeffery–Williams Prize is a mathematics award presented annually by the Canadian Mathematical Society. The award is presented to individuals in recognition of outstanding contributions to mathematical research. The first award was presen ...
of the
Canadian Mathematical Society
The Canadian Mathematical Society (CMS) (french: Société mathématique du Canada) is an association of professional mathematicians dedicated to the interests of mathematical research, outreach, scholarship and education in Canada. It serves the ...
for outstanding contributions to mathematical research in Canada.
Canadian Mathematical Society: University of Toronto professor garners prestigious national award
retrieved 2015-04-07.
References
External links
*
Homepage of Askold Khovanskii at the University of Toronto
* ttp://bogomolov-lab.ru/AG2012/Askoldfest2012.htm Askoldfest
{{DEFAULTSORT:Khovanskii, Askold
1947 births
Living people
Russian mathematicians
Canadian mathematicians
Moscow State University alumni
Steklov Institute of Mathematics alumni
Independent University of Moscow faculty
University of Toronto faculty
Geometers
Russian people of Lithuanian descent
Algebraic geometers
Soviet mathematicians