Research

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

homotopy theory and algebraic K-theory.

Preprints

Hermitian K-theory via oriented Gorenstein algebras (with Marc Hoyois, Joachim Jelisiejew and Denis Nardin)
The Hilbert scheme of infinite affine space and algebraic K-theory (with Marc Hoyois, Joachim Jelisiejew, Denis Nardin and
Burt Totaro)

Papers

Motivic infinite loop spaces (with Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo)
To appear in the Cambridge Journal of Mathematics
On the infinite loop spaces of algebraic cobordism and the motivic sphere (with Tom Bachmann, Elden Elmanto, Marc Hoyois,
Adeel Khan and Vladimir Sosnilo)
Épijournal Géom. Algébrique 5 (2021), Article Nr. 9.
Modules over algebraic cobordism (with Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo)
Forum of Mathematics, Pi, 8-e14 (2020), 1-44.
The unit map of the algebraic special linear cobordism spectrum
Journal of the Institute of Mathematics of Jussieu (2019), available online
Towards conservativity of Gm-stabilization (with Tom Bachmann)
Journal of Geometry & Topology 24-4 (2020), 1969-2034.
Framed transfers and motivic fundamental classes (with Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo)
Journal of Topology 13 (2020), 460–500.
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.