Research
My research is in motivic homotopy theory, which is a diverse mixture of algebraic geometry,
homotopy theory and algebraic K-theory.
Work in progress
- The space of algebraic cobordism (with Elden Elmanto, Marc Hoyois, Adeel Khan and Vladimir Sosnilo)
Preprints
- Towards conservativity of Gm-stabilization (with Tom Bachmann)
- Algebraic special linear cobordism via framed correspondences (preliminary version)
- 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.
my ph.D. advisor
This is my advisor, Prof. Marc Levine, in a photo stolen from
his webpage. To learn more you can:
- read a wiki-page,
- introduce yourself to motivic homotopy theory,
- or visit unsere Arbeitsgruppe in Essen!
"I measured harmony by arithmetics."
Alexander Pushkin, "Mozart and Salieri"
MY dream team
Do visit their home pages for a lot of useful materials!
University of Copenhagen
Uni of Southern California
University of Regensburg
Chebyshev Lab.
St. Petersburg