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Dr Dmitri Finkelshtein

Associate Professor, Mathematics
Office - 325
Third Floor
Computational Foundry
Bay Campus
Available For Postgraduate Supervision

About

I am an Associate Professor in the Department of Mathematics at Swansea University. My research is mainly about the topics in analysis, probability, mathematical physics, and PDE inspired by and used in the theory of complex systems. I have dealt with infinite-dimensional analysis, applications of methods of functional analysis and probability theory to mathematical physics, random measures, stochastic dynamics, and mathematical biology. I am actively working on the study of non-local evolution equations arising as scaling limits for stochastic dynamics of the considered complex systems.

Degrees

PhD 2004 & DSc (Habilitation) 2014 — Institute of Mathematics, Kyiv, Ukraine
BSc (Hons) Mathematics 1999 & MSc (Hons) Mathematics 2000 — National University of Kyiv, Ukraine

Areas Of Expertise

  • Complex Systems
  • Infinite-Dimensional Analysis
  • Point Processes
  • Non-local Evolution Equations
  • Population Ecology
  • Umbral Calculus

Career Highlights

Teaching Interests
Dmitri Finkelshtein's teaching interests
  • Mathematical Analysis, Functional Analysis, Fourier Analysis
  • Dynamical Systems, Ordinary and Partial Differential Equations
  • Probability Theory, Stochastic Processes, Markov Chains
Research
Dmitri Finkelshtein's Research
  • Complex Systems (Interacting Particles in Continuum, Individual-Based/Agent-Based Models, Spatiotemporal Point Processes)
  • Mesoscopic Scalings and Kinetic Equations (Derivation, Expansion, Enhancement)
  • Nonlocal Reaction-Diffusion Equations (Front Propagation, Acceleration, Traveling Waves)
  • Population Ecology (Stationary Regime, Extinction, Space-Time Correlation)
Award Highlights
Dmitri Finkelshtein's awards
  • 2012 The Ukraine Mathematics Award by Shevchenko Scientific Society in the United States
  • 2009 The Ukraine President Prize for young scientists
Collaborations
Dmitri Finkelshtein's collaboration map
  • Individual-based Models in Ecology and Beyond: with Helsinki University, University of Liverpool, and University of Cambridge
  • Infinite-dimensional Umbral Calculus: with Bielefeld University and Lisbon University