Dmitri Finkelshtein

Senior Researcher of Institute of Mathematics, Kiev, Ukraine

My main research interests are in theory of complex systems and, therefore, they are in the interplay of mathematical physics, functional analysis, PDE, and probability theory. In particular, I have worked on problems dealing with infinite-dimensional analysis, applications of methods of functional analysis and probability theory to mathematical physics, Gibbs measures, point processes, stochastic dynamics and scaling limits, mathematical biology. Currently, I am actively working in the study of non-local evolution equations arising as (mesoscopics) limits for dynamics of the considered complex systems.

Experience

Depart. of Mathematics, Swansea University

2013 - current
  • Senior Lecturer (2017 - current)
  • Lecturer (2013 – 2017)

Faculty of Mathematics, Bielefeld University

2013
  • Scientific Fellow

Institute of Mathematics, Kiev

2003 - 2017
  • Senior Research Fellow of the Department of Fractal Analysis (2009 – 2017)
  • Research Fellow of the Department of Fractal Analysis (2008 – 2009)
  • Junior Research Fellow of the Department of Mathematical Physics (2003 – 2008)

Kiev National Pedagogical University

2008 - current

Degrees & Education

Doctor of Science (Habilitation)

2014
  • Area of specialization: Analysis
  • Title: Stochastic dynamics of continuous systems
  • Host: Institute of Mathematics, Kiev, Ukraine

PhD in Mathematics

2004

PhD Studying

2000 - 2003

Graduate study

1995 - 2000
  • Master of Mathematics (2000, diploma with distinction)
    Master thesis: “Gauss formula and symmetric extensions of the Laplacian on configuration spaces”
    Thesis Advisor: Dr. Alexei Konstantinov
    Host: Kiev National Shevchenko University
  • Bachelor of Mathematics (1999, diploma with distinction)
    Bachelor thesis: “On exponential model of Poisson spaces”
    Thesis Advisor: Dr. George Us
    Host: Kiev National Shevchenko University

Honours, Awards & Fellowships

Honours and Awards

  • Winner of the Ukrainian Mathematical Competition sponsored by U.S.-Ukraine Foundation and the Shevchenko Scientific Society of America (2012)
  • The Ukraine President Prize for young scientists (2009)
  • G. Soros prize for students (1996)

Ukrainian Fellowships and Grants

Participation in Projects

  • Member of SFB Projects:
    • 256 “Nonlinear partial differential equations”, Bonn University, Germany (2000)
    • 343 “Discrete structures in Mathematics”, Bielefeld University, Germany (2001)
    • 701 “Spectral structures and topological methods in Mathematics”, Bielefeld University, Germany (2005 - 2014)
  • Member of DFG-Forschergruppe “Spectral analysis, asymptotic distributions, and stochastic dynamics”, Bielefeld University, Germany (2003)
  • Member of DFG Projects: 436 UKR 113/57/01, 436 UKR 113/70, 436 UKR 113/80, 436 UKR 113/94, 436 UKR 113/97
  • Member of FCT Programs POCI2010/FEDER, PTDC/MAT/67965/2006, Funchal University, Portugal (2008 - 2010)