**Submitted papers**

pdf
(with W. Bergweiler and J. Langley) On conformal metrics of constant
positive curvature in the plane, 8.9.22.
pdf
(with Changfeng Gui, Qinfeng Li and Lu Xu)
Rigidity results on Liouville equation.
**Preprints and talks**

pdf
Hayman's contribution to the theory
of meromorphic functions, talk in One day Function theory meeting, London, 9.5.22.
pdf Liouville's equation in the plane,
seminar in Hunan University, August 22, 2022.
pdf Diffrential equations
w''+Aw = 0, where A is entire of
finite order, having a basis of solutions with only real zeros,
Ivano-Frankivsk, May 13, 2022.
pdf Moduli spaces for Lame functions,
Kharkiv Mathematical Society, Jan. 18, 2022.
pdf
Metrics of constant positive curvature with
conic singularities, Seminar Geometric Analysis, Purdue August 30, 2021.
pdf Rejected letter to the Notices AMS.
pdf Meromorphic functions with
a-points in disjoint sets, Complex Analysis, Lviv, 6.28-7.1, 2021.
pdf On a problem of Stanislaw Saks, talk in
Lviv Math Society seminar on May 20, 2021.
pdf
Moduli spaces for Lame functions (slides
of the talk on DGGA seminar, Princeton Univ. 2.10.2021
pdf Moduli spaces for spherical
tori with one singularity, Tel Aviv, November 2020.
seminar, 7.15.2020).
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,
Video.
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
Lectures on entire functions in Kent State University, March 14-15, 2015.
pdf
Spherical polygons and differential
equations, seminar talk, summer 2014.
pdf (with W. Bergweiler and A. Sokal)
Roots of polynomials with positive coefficients, June 14, 2014,
preliminary version of paper 160.
pdf
Stahl's proof of the BMV conjecture (Conference talk in Russian), Kharkiv, 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 1980s).
video, 114 min Iteration of entire functions,
Lecture on Sullivan's seminar, CUNY Graduate center, Jan 30, 1990.
**arXiv preprints not in journals**

Normal holomorphic curves from parabolic regions to projective spaces 10.5.2007.
Irreducibility of some spectral determinants 4.10.2009.
On the hyperbolic metric of the complement of a rectangular lattice 10.14.2011.
Simultaneous stabilization, avoidance and Goldberg's constants 8.9.2012.
Interactions between function
theory and holomorphic dynamics 7.6.2020.
Metrics of constant positive curvature with conic singularities. A survey 3.24.2021.
Singularities of inverse functions 20.12.2021.
**List of publications
**

**
**

**
**