My research interests and experience concern different topics of functional analysis, probability theory, applications in physics, biology, and economics. More specifically, there are four focus areas: models inspired by sciences, stochastic dynamics of interacting particle systems in continuum, multiscale descriptions of complex systems, and analysis on spaces of configurations.

Areas of Expertise

  • Interacting Particle Systems
  • Stochastic Dynamics
  • Infinite-dimensional Analysis
  • Markov Evolutions
  • Complex Systems
  • Nonlocal PDE
  • Front propagation
  • Travelling waves

Publications

  1. & The hair-trigger effect for a class of nonlocal nonlinear equations. Nonlinearity 31(6), 2442-2479.
  2. & Kesten's bound for sub-exponential densities on the real line and its multi-dimensional analogues. Advances in Applied Probability 50(2)
  3. & Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line. Applicable Analysis, 1-25.
  4. & Global stability in a nonlocal reaction-diffusion equation. Stochastics and Dynamics 18(5), 1850037
  5. Around Ovsyannikov's method. Methods of Functional Analysis and Topology 21(2), 134-150.

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Teaching

  • MA-142 Classical Mechanics (of Particles)

    An introduction to the concepts and principles of classical mechanics. The course covers the use of vectors to model physical problems and various quantities from physics. It then introduces Newton┬┐s laws of motion and considers some of the fundamental examples such as rocket motion and planetary motion.

  • MA-M84 Fourier Analysis

    An introduction to Fourier Analysis

Administrative Responsibilities

  • First Year Tutor

    2017 - Present

  • Foundation Year Tutor

    2014 - 2016

Career History

Start Date End Date Position Held Location
March 2017 Present Senior Lecturer Swansea University
September 2013 February 2017 Lecturer Swansea University
March 2013 August 2013 Scientific Fellow Faculty of Mathematics, Bielefeld University, Germany
December 2003 August 2013 Senior Researcher Institute of Mathematics, Kiev, Ukraine
September 2008 June 2013 Associate Professor Dragomanov Pedagogical University, Kiev, Ukraine

Academic History

Date Qualification Location
June 2014 D.Sc. (Habilitation) Institute of Mathematics, Kiev, Ukraine
November 2004 PhD Institute of Mathematics, Kiev, Ukraine
June 2000 MSc with distinction Kiev National Taras Shevchenko University