My research is in motivic homotopy theory, which is a diverse mixture of algebraic geometry,

homotopy theory and algebraic K-theory.


Work in progress

  • Algebraic special linear cobordism via framed correspondences (40 pages draft, available on request)
  • Framed transfers and motivic fundamental classes (with Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo) 
  • Strictly homotopy invariant sheaves, transfers and effectivity (with Tom Bachmann)




my ph.D. advisor

This is my advisor, Prof. Marc Levine, in a photo stolen from

his webpage. To learn more you can:


"I measured harmony by arithmetics."

Alexander Pushkin, "Mozart and Salieri"

MY dream team

Do visit their home pages for a lot of useful materials!

Tom Bachmann

 Massachusetts Institute of Technology



Elden Elmanto

University of Copenhagen

Marc Hoyois

Uni of Southern California

Adeel Khan

University of Regensburg

 Vova Sosnilo

Chebyshev Lab.
St. Petersburg