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Marcin Lara

Researcher at GU Frankfurt and JU Krakow

Online office:

Office 214
Institute of Mathematics
Goethe University Frankfurt
Robert-Mayer-Str. 6-8
60325 Frankfurt am Main


About me

I am a math postdoc at GU Frankfurt in the group of Jakob Stix, while on leave at JU, Kraków.
Previously, I was a postdoc at IMPAN, Warsaw, working in the group of Piotr Achinger. Before that, I was a PhD student of Hélène Esnault and Vasudevan Srinivas at FU Berlin.

I am interested in arithmetic geometry, especially the étale and pro-étale fundamental groups, rigid geometry, condensed mathematics, varieties in positive characteristic and Galois representations.

Papers

Papers and preprints

  • Variants of the de Jong fundamental group
    Joint work with Piotr Achinger and Alex Youcis. Submitted.
  • Specialization for the pro-étale fundamental group
    Joint work with Piotr Achinger and Alex Youcis.
    Compositio Mathematica, 158(8), 1713-1745, doi:10.1112/S0010437X2200759X
  • Geometric arcs and fundamental groups of rigid spaces
    Joint work with Piotr Achinger and Alex Youcis. Submitted.
  • A theorem on meromorphic descent and the specialization of the pro-étale fundamental group
    Joint work with Jiu-Kang Yu and Lei Zhang. Submitted.
  • Homotopy Exact Sequence for the Pro-Étale Fundamental Group
    International Mathematics Research Notices 2021, doi:10.1093/imrn/rnab101
  • Fundamental Exact Sequence for the Pro-Étale Fundamental Group
    Submitted.
  • On the inverse problem for deformations of finite group representations
  • Theses