Andrej Zlatoš

I am an Associate Professor in the Department of Mathematics of the University of Wisconsin. Here is my CV.

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

Analysis seminar

Applied and Computational Mathematics seminar

PDEs and Geometric Analysis seminar

Publications and Preprints

• On the loss of continuity for super-critical drift-diffusion equations (with L. Silvestre and V. Vicol), preprint.
  

• The Harnack inequality for a class of degenerate elliptic operators (with F. Hamel), preprint.
  

• Speed-up of combustion fronts in shear flows (with F. Hamel), preprint.
  

• Generalized traveling waves in disordered media: Existence, uniqueness, and stability, preprint.
  

• Transition fronts in inhomogeneous Fisher-KPP reaction-diffusion equations, J. Math. Pures Appl., to appear.
  

• Existence and non-existence of Fisher-KPP transition fronts (with J. Nolen, J.-M. Roquejoffre, and L. Ryzhik), Arch. Ration. Mech. Anal. 203 (2012), 217-246.
  

• On divergence-free drifts (with G. Seregin, L. Silvestre, and V. Sverak), J. Differential Equations 252 (2012), 505-540.
  

• Reaction-diffusion front speed enhancement by flows, Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), 711-726.
  

• Exit times of diffusions with incompressible drifts (with G. Iyer, A. Novikov, and L. Ryzhik), SIAM J. Math. Anal 42 (2010), 2484-2498.
  

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

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

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

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

• Diffusion and mixing in fluid flow (with P. Constantin, A. Kiselev, and L. Ryzhik), Ann. of Math. (2) 168 (2008), 643-674.
  

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

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

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

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

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

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

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

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

• Higher order Szegö theorems with two singular points (with B. Simon), J. Approx. Theory 134 (2005), 114-129.
  

• Sparse potentials with fractional Hausdorff dimension, J. Funct. Anal. 207 (2004), 216-252.
  

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

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

• 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.wisc.edu
Phone: (608) 262-2926
Fax: (608) 263-8891
Mailing address: University of Wisconsin Mathematics, 480 Lincoln Dr., Madison, WI 53706, USA