Research

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

homotopy theory and algebraic K-theory.

Preprints

• The motive of the Hilbert scheme of infinite affine space (with Marc Hoyois, Joachim Jelisiejew and Denis Nardin)
• On the infinite loop spaces of algebraic cobordism and the motivic sphere (with Tom Bachmann, Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo) 
• The unit map of the algebraic special linear cobordism spectrum
• Modules over algebraic cobordism (with Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo) 
• Towards conservativity of Gm-stabilization  (with Tom Bachmann)
• Framed transfers and motivic fundamental classes (with Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo) 
• Motivic infinite loop spaces (with Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo)

Papers

• Algebraic K-theory of varieties SL2n / Sp2n,  E6 / F4 and their twisted forms
  Algebra and Analysis 28 (2016), no. 3, 174-189, in Russian. Translation: St. Petersburg Mathematical Journal 28 (2017), no. 3,  421-431.

Other

• Motivic stable homotopy groups via framed correspodences. PhD thesis, Duisburg-Essen University.