Andrej Zlatoš

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.

CAMP/Nonlinear PDEs seminar

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. Škoviera), Discrete Math. 258 (2002), 379-381.
  

• Bipartite maps, Petrie duality and exponent groups (with R. Nedela and M. Škoviera), 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. Žilina, 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