Biography: My native town is Kharkov, Ukraine. I attended Kharkov National University to study mathematics and eventually came to the US for graduate studies. In 2005, I received a Ph.D. in mathematics from the University of Missouri. For the following five years, I held the position of Adjunct Assistant Professor at UCLA until crossing the country to arrive at City College. Here is my CV.
Research interests: Thermodynamic formalism, smooth ergodic theory, rotation theory, symbolic dynamics.
Workshop "Thermodynamic Formalism for Geodesic Flows":
☐ Upcoming Talks and Travels:
July 3-7, 2023
Fractal Geometry, International Centre for Mathematical Sciences, Edinburgh, Scotland.
October 13-15, 2023
Special Session on Ergodic Theory and Dynamical Systems , AMS Sectional Meeting, University of South Alabama, Mobile, AL
November 6-10, 2023
Research in Residence: Flexibility of the Pressure Function for Anosov Diffeomorphisms on a Torus (with Anthony Quas), Centre International de Rencontres Mathématiques (CIRM), Luminy, France
☒ Conferences Organised:
Special Session on Ergodic Theory and Dynamical Systems (Special Session #126) at the 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications in Taipei, Taiwan, July 5-9, 2018. With Scott Kaschner and Hiroki Sumi
Special Session on Ergodic Theory and Dynamical Systems (Special Session #23) at the 2017 Joint Mathematics Meetings of the AMS in Atlanta, GA, January 4-7, 2017. With Mrinal Kanti Roychowdhury
☑ Past Talks (some with slides) and Travels:
March 15-18, 2023
56th Spring Topology and Dynamical Systems Conference, Rhodes College, Memphis, TN
Title: Asymptotic behavior of the pressure function for Hölder potentials
March 3, 2023
Learning Seminar on Dynamical Systems and Ergodic Theory, Graduate Center of CUNY, New York, NY
Title: Properties of the pressure function
February 6-7, 2023
Dynamical Systems Seminar, Penn State University, State College, PA
Title: Asymptotic behavior of the pressure function for Hölder potentials
November 3-6, 2022
Semi-annual Workshop in Dynamical Systems and Related Topics, Anatole Katok Center For Dynamical Systems And Geometry, State College, PA
Title: Asymptotic behavior of the pressure function for Hölder potentials (slides)
September 25 - October 2, 2022
Research in Teams: Geometry of Rotation Sets (with Jan Boronski), Banff International Research Station for Mathematical Innovation and Discovery (BIRS), Banff, Alberta, Canada
August 7-20, 2022
Oberwolfach Research Fellows (with Martin Schmoll, Christian Wolf, and Yun Yang), two-weeks stay at Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach-Walke, Germany
June 27-July 1, 2022
Geometry of Deterministic and Random Fractals, Budapest University of Technology and Economics, Budapest, Hungary
Title: Flexibility of the Pressure Function
June 9-12, 2022
The 51st John and Lida Barrett Memorial Lectures: Exotic continua in modern mathematics, University of Tennessee, Knoxville, TN
Title: Katok's flexibility paradigm and its realization in symbolic dynamics
March 18, 2022
Complex Analysis and Dynamics Seminar, Graduate Center of CUNY, New York, NY
Title: Katok's flexibility paradigm and its realization in symbolic dynamics
March 10-13, 2022
55th Spring Topology and Dynamical Systems Conference, Baylor University, Waco, TX
Title: Katok's flexibility paradigm and its realization in symbolic dynamics (plenary talk)
March 7-9, 2022
Workshop on Flexibility and Rigidity in Dynamical Systems, Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY
Title: Flexibility of the pressure function
December 21, 2021
Department of Differential Equations Seminar, AGH University of Science and Technology, Kraków, Poland
Title: Katok's flexibility paradigm and its realization in symbolic dynamics
November 19, 2021
Analysis Seminar, Clemson University, Clemson, SC
Title: Pressure Function on Compact Symbolic Systems
November 4, 2021
Dynamics Seminar, University of Maryland, College Park, MD
Title: Flexibility of the pressure function
October 22, 2021
Zoominar in Dynamical Systems, Centro de Matemática - Universidade do Porto, Portugal
Title: Flexibility of the Pressure Function (slides)
June 7-11, 2021
New frontiers in dimension theory of dynamical systems - Applications in metric number theory, Institut Mittag-Leffler, Djursholm, Sweden
Title: Multivariable Pressure Function on Compact Symbolic Systems (slides)
May 12-15, 2021
The 54th Spring Topology and Dynamics Conference, hosted online by Murray State University, Murray, KY.
Title: Flexibility of the pressure function (slides)
March 28, 2021
Dynamics Seminar, University of Victoria, Victoria, BC, Canada
Title: Nonlinear Thermodynamic Formalism
February 9, 2021
UC San Diego Group Actions Seminar, San Diego, California
Title: Flexibility of the pressure function
October 28, 2020
Ergodic Theory Seminar, Ohio State University, Columbus, Ohio
Title: Multiple phase transitions on compact symbolic systems
July 17, 2020
Expanding Dynamics-COVID (Creative Online Ventures in Dynamics), virtual conference.
Title: Multiple phase transitions on compact symbolic systems (slides)
July 22-26, 2019
Thermodynamic Formalism: Ergodic Theory and Geometry, The University of Warwick, Coventry England
Title: Measures of maximal entropy for general suspension flows
April 7-12, 2019
Dynamics, Measures and Dimensions, Stefan Banach International Mathematical Center in Bedlewo, Poland
Title: Measures of maximal entropy for general suspension flows (slides)
September 9-10, 2018
Special session on Statistical and Geometrical Properties of Dynamical Systems, AMS Sectional Meeting, San Francisco, California
Title: Measures of maximal entropy for suspension flows over the full shift (slides)
April 14-15, 2018
Special session on Quantization for Probability Distributions and Dynamical Systems, AMS Sectional Meeting, Nashville, Tennessee
Title: Quantization dimensions for general condensation systems (slides)
September 9-10, 2017
Special session on Fractal Geometry and Ergodic Theory, AMS Sectional Meeting, Denton, Texas
Title: Measures of maximal entropy for suspension flows over the full shift
March 8-11, 2017
51th Spring Topology and Dynamics Conference, New Jersey City University, Jersey City, New Jersey
Title: Suspension flows with multiple measures of maximal entropy
July 1-5, 2016
The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida
Title: Ground States at the Boundary of Rotation Sets (slides)
March 10-13, 2016
50th Spring Topology and Dynamics Conference, Balor University, Waco, Texas
Title: Zero temperature measures on the boundary of rotation sets
October 17-18, 2015
Special session on Fractal Geometry and Dynamical Systems, AMS Sectional Meeting, Memphis, Tennessee
Title: Localized pressure and equilibrium states (slides)
May 13-16, 2015
49th Spring Topology and Dynamics Conference, Bowling Green State University, Bowling Green, Ohio
Title: The geometry and properties of generalized rotation sets (slides)
December 9-13, 2013
Ergodic Optimization and Related Fields, Institute of Mathematics and Statisticsof the University of São Paulo, São Paulo, Brazil
Title: Localized Pressure and Equilibrium States
July 8-12, 2013
Thermodynamic Formalism and Applications, Pontificia Universidad Católica de Chile, Santiago, Chile
Title: Geometry and Entropy of Generalized Rotation Sets
April 13-14, 2013
Special Session on Dynamical Systems: Thermodynamic Formalism and Connections with Geometry, Spring Western Sectional Meeting of the AMS, Boulder, Colorado
Title: The geometry of generalized rotation sets
July 1-5, 2012
The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida
Title: Rotation sets and their geometry