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.
artem (dot) n (dot) prihodko (at) gmail.com
|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).
|We use functoriality of traces in monoidal 2-categories to prove the Atiyah-Bott fixed point formula.|
|Fall 2019-Spring 2020||Introduction to automorphic forms and Galois representations|
|Fall 2018-Spring 2019||Chromatic Homotopy Theory|
|Fall 2017-Spring 2018||p-adic Hodge Theory and Topological Hochschild Homology|
|Spring 2017||Topics in Derived Algebraic Geometry|
|Fall 2016||Equivariant Homotopy and Kervaire Invariant One Problem|