Education
Moscow State University.
Moscow State University.
His areas of research are algebraic geometry, commutative algebra, singularity theory, differential geometry and differential equations. His research is in the development of the theory of toric varieties and Newton polyhedra in algebraic geometry. He is also the inventor of the theory of fewnomials.
He obtained his Doctor of Philosophy from Steklov Mathematical Institute in Moscow under the supervision of V. I. Arnold.
In his Doctor of Philosophy thesis, he developed a topological version of Galois theory. He studies the theory of Newton–Okounkov bodies (or Okounkov bodies for short).
Among his graduate students are O. Gel"fond, F. Borodich, H. Petrov-Tan"kin, K. Kaveh, F. Izadi, I. Soprunov, East. Soprunova, V. Timorin, V. Kirichenko, South. Chulkov, V. Kisunko, O. Ivrii, K. Matveev, Yu. Burda, J. Yang.