EDUCATION
I received my Ph.D. in Applied Mathematics from the Novosibirsk State University in 1999. (See university's standing at the Webometrics Ranking of European Universities.) Professor S.I. Kabanikhin was my advisor and mentor. The Ph.D. thesis was devoted to "Optimization Approaches to Identification problems". The paper concerns with applications of optimization techniques to solution of inverse problems of electromagnetic wave propagation. My M.S. and B.S. degrees came from the same university in 1995 and 1993 correspondingly.

I received my postdoctoral training from Professor D.N. Arnold (IMA, UMN) at Penn State in 2000-2001 and at the University of Minnesota in 2001-2003. Under supervision of Dr. Arnold, I worked on symmetric hyperbolic formulations for equations of general relativity.

EMPLOYMENT
In 2003 I joined the faculty in the Department of Mathematics at California State University, Northridge as an Assistant Professor. In 2009 I was promoted to the rank of an Associate Professor and awarded tenure with CSUN. Prior to my appointment at CSUN, I was a visiting assistant professor in the Department of Mathematics at the University of Minnesota (2001-03), a postdoctoral fellow in the Department of Mathematics at Penn State (2000-01), and a research scientist in Sobolev Institute of Mathematics in (1999-2000).

In Fall 2011-Spring 2013 I am on a leave of absence from CSUN to work as a Senior Research Associate at the Air Force Research Lab at Wright-Patterson AFB.

In Fall of 2010 I was a New Directions Professor at the Institute of Mathematics and its Applications.
In 2009-2010 I was on a sabbatical at Purdue University.

RESEARCH INTERESTS
Numerical Solution of Kinetic Equations: The development and implementation of efficient techniques for deterministic solution of kinetic Boltzmann equation and the model kinetic equations. Development of solvers based on discontinuous Galerkin methods.

Discontinuous Galerkin Methods: Runge-Kutta discontinuous Galerkin methods for hyperbolic problems encountered in gas kinetics such as Boltzmann-BGK equation. DG algorithms for second order hyperbolic equations treated as model problems of constrained evolution, radiation-controlling and transparent boundary conditions, domain decomposition.

Numerical relativity: Constrained evolution systems and constraint-preserving boundary conditions; symmetric hyperbolic formulations of Einstein's equations; well-posed IBVPs for Einstein's equations.

Inverse and ill-posed problems: Optimization numerical algorithms for inverse problems of electromagnetic wave propagation. 

Diffusion weighted tomography: Algorithms for fiber tracking in brain imaging.

PUBLICATIONS
The list of my publication is included in my CV

CAREER STATEMENTS 

Curriculum Vitae

Research Statement

Teaching Statement

Publications