Artem Prikhodko

Artem Prikhodko


I am a PhD student in mathematics at Higher School of Economics. My advisor is Chris Brav. So far my research was mostly concerned with derived and arithmetic algebraic geometry and higher category theory.

My CV.

  artem (dot) n (dot) prihodko (at) gmail.com

Papers and preprints

PaperLast update
Hodge-to-de Rham degeneration for stacks, with Dmitry Kubrak.2019, October
We extend the method of Deligne-Illusie to the setting of stacks. As an application we deduce equivariant Hodge degeneration for certain classes of varieties with an algebraic group action.
Equivariant Grothendieck-Riemann-Roch theorem via formal deformation theory, with Grigory Kondyrev.2019, June
We prove the equivariant Grothendieck-Riemann-Roch theorem using trace methods and carefully studing the geometry of the derived loop schemes.
Categorical proof of Holomorphic Atiyah-Bott formula, with Grigory Kondyrev.
(Journal of the Institute of Mathematics of Jussieu, 2020).
2018, November
We use functoriality of traces in monoidal 2-categories to prove the Atiyah-Bott fixed point formula.

Seminars

Fall 2019-Spring 2020Introduction to automorphic forms and Galois representations
Fall 2018-Spring 2019Chromatic Homotopy Theory
Fall 2017-Spring 2018p-adic Hodge Theory and Topological Hochschild Homology
Spring 2017Topics in Derived Algebraic Geometry
Fall 2016Equivariant Homotopy and Kervaire Invariant One Problem
Artem Prikhodko © 2019.