I am a 5th year graduate student in the Math Department at Harvard.
e-mail: apetrov at math dot harvard dot edu
Papers and preprints
- 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,
pdf,
arXiv:2012.13372.
- 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