To the homepage of Valentina Kiritchenko

Research interests

I study geometry of varieties with a "good" action of an algebraic
group (main examples are toric varieties, flag varieties and more
generally spherical varieties). There is a beautiful and rich theory,
known as the theory of Newton polytopes, that studies geometry of a toric variety using combinatorics
of its Newton polytope. I would like to extend the theory of Newton polytopes to more general
varieties (see [1],
[2], [4],
[5], [6]).

I am also interested in the theory of algebraic cobordism. This theory
is in many aspects similar to complex (topological) cobordism, and one of the main challenges is to
find an algebro-geometric replacement for the topological methods of complex cobordism (see
[3]).

My past research concerned constructible sheaves
on reductive groups (see [7],
[8]) and generalized
hypergeometric functions (see [9]).