I am an Assistant Professor in the Department of Mathematics at the University of Chicago. Here is my CV.

My research is focused on Reaction-diffusion equations, Fluid dynamics, Spectral theory of Schrödinger operators, and Orthogonal polynomials.

**Publications and Preprints**

- Exit times of diffusions with incompressible drifts (with G. Iyer, A. Novikov, and L. Ryzhik),
*SIAM J. Math. Anal, to appear*. ps pdf

- Reaction-diffusion front speed enhancement by flows,
*preprint*. ps pdf

- Generalized traveling waves in disordered media: Existence, uniqueness, and stability,
*preprint*. ps pdf

- On the high intensity limit of interacting corpora (with P. Constantin),
*Comm. Math. Sci.***8**(2010), 173--186. ps pdf

- Diffusion in fluid flow: Dissipation enhancement by flows in 2D,
*Comm. Partial Differential Equations***35**(2010), 496-534. ps pdf

- Sharp asymptotics for KPP pulsating front speed-up and diffusion enhancement by flows,
*Arch. Ration. Mech. Anal.***195**(2010), 441-453. ps pdf

- Relaxation enhancement by time-periodic flows (with A. Kiselev and R. Shterenberg),
*Indiana Univ. Math. J.***57**(2008), 2137-2152. ps pdf

- Diffusion and mixing in fluid flow (with P. Constantin, A. Kiselev, and L. Ryzhik),
*Annals of Math.***168**(2008), 643-674. ps pdf

- Pulsating front speed-up and quenching of reaction by fast advection,
*Nonlinearity***20**(2007), 2907-2921. ps pdf

- KPP pulsating front speed-up by flows (with L. Ryzhik),
*Comm. Math. Sci.***5**(2007), 575-593. ps pdf

- Coefficients of orthogonal polynomials on the unit circle and higher order Szegö theorems (with L. Golinskii),
*Constr. Approx.***26**(2007), 361-382. ps pdf

- Sharp transition between extinction and propagation of reaction,
*J. Amer. Math. Soc.***19**(2006), 251-263. ps pdf

- Quenching of combustion by shear flows (with A. Kiselev),
*Duke Math. J.***132**(2006), 49-72. ps pdf

- On discrete models of the Euler equation (with A. Kiselev),
*Int. Math. Res. Notices***2005**, 2315-2339. ps pdf

- Quenching and propagation of combustion without ignition temperature cutoff,
*Nonlinearity***18**(2005), 1463-1475. ps pdf

- Sum rules for Jacobi matrices and divergent Lieb-Thirring sums,
*J. Funct. Anal.***225**(2005), 371-382. ps pdf

- Higher order Szegö theorems with two singular points (with B. Simon),
*J. Approx. Theory***134**(2005), 114-129. ps pdf - Sparse potentials with fractional Hausdorff dimension,
*J. Funct. Anal.***207**(2004), 216-252. ps pdf

- Sum rules and the Szegö condition for orthogonal polynomials on the real line (with B. Simon),
*Comm. Math. Phys.***242**(2003), 393-423. ps pdf

- The Szegö condition for Coulomb Jacobi matrices,
*J. Approx. Theory***121**(2003), 119-142. ps pdf

- Note on regular embeddings of complete bipartite graphs (with R. Nedela and M. koviera),
*Discrete Math.***258**(2002), 379-381.

- Bipartite maps, Petrie duality and exponent groups (with R. Nedela and M. koviera),
*Atti Sem. Mat. Fis. Univ. Modena***49**(2001), 109-133.

- The diameter of lifted digraphs,
*Australas. J. Combin.***19**(1999), 73-82.

- Construction of regular maps with multiple edges,
*International Scientific Conference on Mathematics. Proceedings,*155-160,*Univ. ilina,*1998.

**Contact Information**

E-mail: [my first name]@math.uchicago.edu

Phone: (773) 702-7347

Fax: (773) 702-9787

Mailing address: University of Chicago Mathematics, 5734 S. University Ave., Chicago, IL 60637, USA