I study Complex Dynamics and Geometric Function Theory using quasiconformal methods. I finished my Ph.D in May 2017 under the supervision of Chris Bishop at Stony Brook. I have links to videos of some talks about the papers listed below on a different part of this website.

Preprints:

1. Equilateral Triangulations and The Postcritical Dynamics of Meromorphic Functions. Christopher J. Bishop, Kirill Lazebnik, Mariusz Urbański.

2. Transcendental Julia Sets of Minimal Hausdorff Dimension. Jack Burkart, Kirill Lazebnik.

3. Interpolation of Power Mappings. Jack Burkart, Kirill Lazebnik.

Publications:

9. Quadrature Domains and the Real Quadratic Family. Kirill Lazebnik. Conformal Geometry and Dynamics. 25, 104-125, 2021.

8. Bers Slices in Families of Univalent Maps. Kirill Lazebnik, Nikolai G. Makarov, Sabyasachi Mukherjee. To appear in Mathematische Zeitschrift.

7. Univalent Polynomials and Hubbard Trees. Kirill Lazebnik, Nikolai G. Makarov, Sabyasachi Mukherjee. Transactions of the American Mathematical Society. 374, 4839-4893, 2021.

6. Oscillating Wandering Domains for Functions with Escaping Singular Values. Kirill Lazebnik. Journal of the London Mathematical Society. 103(4): 1643-1665, June 2021.

5. Prescribing the Postsingular Dynamics of Meromorphic Functions. Christopher Bishop, Kirill Lazebnik. Mathematische Annalen , Volume 375, Issue 3-4, December 2019 (1761–1782).

4. Univalent Wandering domains in the Eremenko-Lyubich Class. Núria Fagella, Xavier Jarque, Kirill Lazebnik. Journal d'Analyse Mathématique. 139(1):369--395, 2019.

3. Several Constructions in the Eremenko-Lyubich class. Kirill Lazebnik. Journal of Mathematical Analysis and Applications, Volume 448, Issue 1, 1 April 2017 (611–632).

2. Zero forcing number, maximum nullity, and path cover number of subdivided graphs. Minerva Catral, Anna Cepek, Leslie Hogben, My Huynh, Kirill Lazebnik, Travis Peters, Michael Young. Electronic Journal of Linear Algebra (23), 2012.

1. On invariant area formulas and lattice point bounds for the intersection of hyperbolic and elliptic regions. Bennett, Mike; Lazebnik, Kirill Y; Rault, Patrick X; Singer, Jeffrey A. Journal of Combinatorics and Number Theory (4), 2012.