Professor Vitaly Moroz

Professor, Mathematics
Available For Postgraduate Supervision

About

I am a mathematician with research expertise in the analysis of Nonlinear Partial Differential Equations and Calculus of Variations, and with a particular interest in the nonlinear equations with nonlocal interactions. During the past decade such equations started to emerge as a mathematical paradigm for the modelling of collective behaviour of self-interacting many-body systems at different scales, from atom and molecules to flock patterns in animal swarms and social groups and up to formation of blackholes and galaxies. My most notable research achievement in this area is the revival and significant development of the theory of Choquard equations. The results of this work, co-authored with J. Van Schaftingen, were published in a series of research papers in 2013-17. Five of these papers are currently ranked by the Web of Science as Highly Cited Papers in Mathematics (top 1% citation worldwide in a field in a given year). Read more about my research here:

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Further information about my research and teaching is available at my Personal Webpage

 

Areas Of Expertise

  • Nonlinear Partial Differential Equations
  • Calculus of Variations
  • Potential theory
  • Topological methods of nonlinear analysis
  • Nonlinear equations with nonlocal interactions
  • Choquard equations
  • Thomas-Fermi type models
  • Mathematical analysis of graphene