Submitted papers

  • pdf (with W. Bergweiler) On the number of solutions of some transcendental equations.
  • pdf Co-axial monodromy.

    Preprints and talks

  • pdf (with W. Bergweiler) Radially distributed values and normal families, Sept. 2017
  • pdf Real solutions of Painleve VI and special pentagons. (Pisa, Febr. 13, 2017).
  • pdf Entire functions with radially distributed a-points (Tel Aviv, Jan 30, 2017).
  • pdf Gluing linear differential equations, a seminar talk, March 2016.
  • pdf Zeros and coefficients, October 2015.
  • pdf Entire functions, PT symmetry and Voros's quantization scheme, October 2015.
  • pdf Lectures on entire functions in Kent State University, March 14-15, 2015.
  • pdf (with A. Gabrielov and V. Tarasov) Spherical polygons and differential equations, seminar talk, summer 2014.
  • pdf Stahl's proof of the BMV conjecture (Conference talk in Russian), Kharkov, June 2013.
  • pdf Singularities of inverse functions (Lecture in a workshop on Complex analysis and dynamics in Edinburgh, May 2013).
  • pdf Linear independence of exponentials on the real line (Preprint, 2012)
  • pdf Linear differential equations whose general solutions are elementary entire functions (Preprint, 2012)
  • pdf Schwarzian derivatives of rational functions (Draft, 2012) (see also Cui Guizhen, Gao Yan, Tan Lei and Hans Henrik Rugh).
  • pdf Goldberg's constants (a seminar talk at Purdue University, Oct. 2011).
  • pdf Simultaneous stabilization (a seminar talk at Purdue University, Oct. 2011).
  • pdf Uniform approximation of sgn(x) on two intervals, Colloquium talk on paper 138, 2011.
  • pdf Lectures on Nevanlinna theory in the Weizmann Institute, Dec. 2010, corrected on July 15, 2012.
  • pdf Wronski map, Schubert calculus and Pole Placement (talk at AIM, Oct. 2010)
  • pdf Singular perturbation and real spectral loci, Colloquium talk on paper 143. Last modified on August 18, 2010.
  • pdf Geometric theory of meromorphic functions. (Lectures in U. Michigan in May 2006. This is an expanded version of my paper 104)
  • pdf (with A. Gabrielov) Elementary proof of the B. and M. Shapiro conjecture for rational functions, Oct. 10, 2005 (expanded version).
  • pdf Progress in entire and meromorphic functions, 2003 (Report on the problems from Hayman's collection).
  • pdf Sleeping armadillos and Dirichlet Principle (Preprint, 2003)
  • pdf Numbers and Functions. Introduction to Vojta's analogy, (Seminar talk, 1999).
  • pdf Julia directions for holomorphic curves, (Preprint, 1994).
  • pdf Jentzsch sets of functions analytic in the unit disc (Preprint, 1993)
  • pdf Julia sets are uniformly perfect, (Preprint, 1992).
  • pdf Linear independence of exponentials (Preprint).
  • pdf Distribution of zeros of some real polynomials and iteration theory (undated preprint, late 1980-th).
  • video, 114 min Iteration of entire functions, Lecture on Sullivan's seminar, CUNY Graduate center, Jan 30, 1990.

    Recent NSF proposals

  • 2000
  • 2005
  • 2010
  • 2013
  • 2016

    List of publications