Currently, I work as a CNRS researcher at Laboratoire de Mathématiques d'Orsay. I am interested in arithmetic geometry, representation theory and homotopy theory. Before I was a postdoc at Max Planck Institute in Bonn and IHES, and a member at IAS in Princeton for the special year in p-adic Hodge theory. I got my PhD at MIT in 2020 with Roman Bezrukavnikov as my advisor.
My papers and preprints:
B. Antieau, E. Hübner, D. Kubrak, J. Nuiten, Derived plethystic algebra, arXiv
S. Douba, D. Kubrak, K. Tsouvalas, Ping-pong in the projective plane over a nonarchimedean field, arXiv
E. Elmanto, D. Kubrak, V. Sosnilo, On filtered algebraic K-theory of stacks I: characteristic zero, arXiv
D. Kubrak, G. Shuklin, A. Zakharov, Derived binomial rings I: integral Betti cohomology of log schemes; J. London Math. Soc., arXiv
E. Bogdanova, D. Kubrak, R. Travkin, V. Vologodsky, The canonical global quantization of symplectic varieties in characteristic p, arXiv
D. Kubrak, A. Prikhodko, Rational p-adic Hodge theory for d-de Rham-proper stacks; Compositio Mathematica, arXiv
D. Kubrak, F. Scavia, Eilenberg-Moore spectral sequence and Hodge cohomology of classifying stacks; accepted to JAG, arXiv
D. Kubrak, A. Prikhodko, p-adic Hodge theory for Artin stacks; Memoirs of the AMS, 2024, arXiv
D. Kubrak, A. Prikhodko, Hodge-to-de Rham degeneration for stacks; IMRN, 2022; arXiv
D. Kubrak, R. Travkin, Resolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators in characteristic p; IMRN, 2021; arXiv
D. Kubrak, On some asymptotic formulas for curves in positive characteristic; arXiv
M. Finkelberg, D. Kubrak, Vanishing Cycles on Poisson Varieties, Functional Analysis and applications, 2015; arXiv