Metrics of constant positive curvature with four conic singularities
on the sphere, Submitted on 7.21.19.
Preprints and talks
pdf Homogeneous potentials,
(workshop in Lisbon, July 8, 2019).
pdf Real solutions of Painleve VI and
special pentagons. (Fields Inst. June 3, 2019). Video.
pdf Interactions of Function Theory
with Holomorphic Dynamics (talk on the 60-th birthday
of Walter Bergweiler, Edinburgh, July 2018).
pdf Coaxial monodromy,
Lecture in Banff, April 2, 2018,
pdf Entire functions with radially
distributed a-points (Tel Aviv, Jan 30, 2017).
pdf Gluing linear differential equations,
a seminar talk, March 2016.
Zeros and coefficients, October 2015.
Entire functions, PT symmetry and Voros's quantization scheme,
Lectures on entire functions in Kent State University, March 14-15, 2015.
(with A. Gabrielov and V. Tarasov) Spherical polygons and differential
equations, seminar talk, summer 2014.
Stahl's proof of the BMV conjecture (Conference talk in Russian), Kharkov, June 2013.
Singularities of inverse functions (Lecture in a
workshop on Complex analysis and dynamics in Edinburgh, May 2013).
Linear independence of exponentials on the real line (Preprint, 2012)
Linear differential equations whose general solutions are elementary entire
functions (Preprint, 2012)
Schwarzian derivatives of rational functions (Draft, 2012)
(see also Cui Guizhen, Gao Yan,
Tan Lei and Hans Henrik Rugh).
Goldberg's constants (a seminar talk at Purdue University, Oct. 2011).
Simultaneous stabilization (a seminar talk at Purdue University, Oct. 2011).
Uniform approximation of sgn(x) on two intervals, Colloquium talk on paper 138,
Lectures on Nevanlinna theory
in the Weizmann Institute, Dec. 2010, corrected on July 15, 2012.
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.
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).
Progress in entire and meromorphic functions, 2003
(Report on the problems from Hayman's collection).
Sleeping armadillos and Dirichlet Principle (Preprint, 2003)
Numbers and Functions. Introduction to
Vojta's analogy, (Seminar talk, 1999).
Julia directions for holomorphic curves, (Preprint, 1994).
pdf Jentzsch sets of functions analytic
in the unit disc (Preprint, 1993)
Julia sets are uniformly perfect, (Preprint, 1992).
Linear independence of exponentials (Preprint).
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
List of publications