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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.

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☐ Upcoming Talks and Travels:

• September 8 - 15, 2024
  Research in Teams: Computability of Markov Partitions (with Michael Burr and Christian Wolf), Banff International Research Station for Mathematical Innovation and Discovery (BIRS), Banff, Alberta, Canada

• October 19-20, 2024
  Special Session on Ergodic Theory - In Memory of Nathaniel Friedman (1938 - 2020) 2024 Fall Eastern Sectional Meeting of the AMS, University at Albany, SUNY, Albany, New York

• December 9-13, 2024
  Special Session on Ergodic Theory and Dynamical Systems, joint international meeting of the American Mathematical Society (AMS), the New Zealand Mathematical Society (NZMS), and the Australian Mathematical Society (AustMS), Auckland, New Zealand

☒ Conferences Organised:

• Thermodynamic Formalism for Geodesic Flows at the Banff International Research Station for Mathematical Innovation and Discovery (BIRS), UBC Okanagan campus in Kelowna, Canada, July 16-21. With Keith Burns, Daniel Thompson, and Agnieszka Zelerowicz

• 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:

• June 24-28, 2024
  Dubrovnik X - Topology and Dynamical Systems, Inter-University Centre Dubrovnik, Croatia
  Title: Realization of Anosov Diffeomorphisms on the Torus

• June 11-13, 2024
  Mike Shub's fest at CUNY, Graduate Center of CUNY, New York, NY
  Title: Phase transitions on one-dimensional symbolic systems (slides)

• May 13-17, 2024
  Dynamical Systems and Fractal Geometry Conference, University of North Texas, Denton, TX
  Title: Realization of Anosov Diffeomorphisms on the Torus (slides)

• May 13, 2024
  The University of Chicago Dynamics Seminar, University of Chicago, Chicago, IL
  Title: Asymptotic behavior of the pressure function for Hölder potentials

• April 12-14, 2024
  Spring 2024 Carolina Dynamics Symposium, University of North Carilina, Charlotte, NC
  Title: Phase transitions on one-dimensional symbolic systems

• April 1-5, 2024
  Multidimensional symbolic dynamics and lattice models of quasicrystals, Centre International de Rencontres Mathématiques (CIRM), Luminy, France
  Title: Phase transitions on one-dimensional symbolic systems (slides)

• March 19, 2024
  Dynamics and Probability Seminar, University of Victoria, Victoria, CA
  Title: Ergodic theory on coded shifts

• February 8, 2024
  Dartmouth Geometry Seminar, Dartmouth College, Hanover, New Hampshire.
  Title: Realization of Anosov Diffeomorphisms on the Torus

• January 31 - February 3, 2024
  From Dynamics to Complexity, and Back Again (In Celebration of Michael Shub's 80th Birthday), Montevideo, Uruguay
  Title: Realization of Anosov Diffeomorphisms on the Torus (slides)

• January 3-6, 2024
  Special Session on Ergodic Theory, Symbolic Dynamics, and Related Topics, Joint Mathematics Meetings, San Francisco, CA
  Title: Asymptotic behavior of the pressure function for Hölder potentials

• 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

• October 13-15, 2023
  Special Session on Ergodic Theory and Dynamical Systems , AMS Sectional Meeting, University of South Alabama, Mobile, AL
  Title: New properties of the pressure function for Hölder potentials

• September 22, 2023
  Learning Seminar on Dynamical Systems and Ergodic Theory, Graduate Center of CUNY, New York, NY
  Title: Ergodic Theory on Coded Shifts

• September 18, 2023
  Millican Colloquium, University of North Texas, Denton, TX.
  Title: Ergodic Theory on Coded Shifts

• July 3-7, 2023
  Fractal Geometry, International Centre for Mathematical Sciences, Edinburgh, Scotland.

• 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