I am a Clay Fellow currently based at the Max Planck institute for Mathematics. Previously I was a graduate student in the Math Department at Harvard, where my advisor was Mark Kisin.
e-mail: alexander.petrov.57 at gmail dot com
My CV.
Papers and preprints
- Non-decomposability of the de Rham complex and non-semisimplicity of the Sen operator,
pdf,
arXiv:2302.11389.
- Universality of the Galois action on the fundamental group of ℙ1∖{0,1,∞},
pdf,
arXiv:2109.09301.
- appendix to 'Hodge numbers are not derived invariants in positive characteristic' by Nicolas Addington and Daniel Bragg,
arXiv:2106.09949.
- Geometrically irreducible p-adic local systems are de Rham up to a twist,
Duke Math. J.,
pdf,
arXiv:2012.13372,
journal.
- Rigid-analytic varieties with projective reduction violating Hodge symmetry,
Compositio Mathematica,
pdf,
arXiv:2005.02226,
journal.
- (with Vadim Vologodsky) On the periodic topological cyclic homology of DG categories in characteristic p,
pdf,
arXiv:1912.03246.
- (with Dmitry Vaintrob and Vadim Vologodsky) The Gauss-Manin connection on the periodic cyclic homology,
Selecta Mathematica,
pdf,
arxiv:1711.02802,
journal