Professor Vitaly Moroz

Professor, Mathematics

Telephone number

+44 (0) 1792 602763

Email address

Office - 322
Third Floor
Computational Foundry
Bay Campus
Available For Postgraduate Supervision

About

I am a mathematician specializing in the analysis of Nonlinear Partial Differential Equations and Calculus of Variations, with a specific focus on nonlinear equations featuring nonlocal interactions. Over the past decade, such equations have emerged as a mathematical framework for modelling the collective behaviour of self-interacting many-body systems at various scales, ranging from atoms and molecules to animal swarm patterns, social groups, and even the formation of black holes and dark matter halos. My most notable research accomplishment in this area is the revival and substantial advancement of the Choquard equation theory. This work, co-authored with Jean Van Schaftingen, was published in a series of research articles from 2013 to 2017. Five of these articles are currently recognized as Highly Cited Papers in Mathematics by the Web of Science, placing them in the top 1% of cited papers globally in the field for a given year. You can learn 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