Turning coffee into theorems

I am a mathematician, which means that my job is to describe the laws of nature in the language of mathematics. More concretely, I am interested in algebraic geometry and categories, especially — in categories arising in algebraic geometry, like derived categories of coherent sheaves. I like to think about:

  • the structure of derived categories, via semi-orthogonal decompositions and exceptional collections, and invariants of these categories
  • their relation to birational geometry and rationality questions
  • representations of finite-dimensional algebras and triangulated categories emerging there
  • what happens if there is a group action
  • …

Currently (since Oct 2024) I am a research associate (aka postdoc) at the University of Sheffield. Before that I was

  • a visiting researcher at the University of Edinburgh under a fellowship from Isaac Newton Institute, and prior to that I was (rather parallel than successively):
  • working as a research fellow at IITP (Kharkevich Institute) and HSE (Higher School of Economics)
  • reading lectures at IUM (Independent University of Moscow)
  • teaching maths at 57th School
  • writing my thesis at Steklov Institute under the supervision by Dmitri Orlov, all in Moscow.