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Marcin Lara

Researcher at IMPAN, Warsaw

Office 613
Institute of Mathematics
Polish Academy of Sciences
ul. Śniadeckich 8
00-656 Warsaw



About me

I am an assistant professor (adiunkt) at IMPAN, Warsaw.

Previously, I was a postdoc at GU Frankfurt in the group of Jakob Stix and (later) Anette Werner.
Earlier, I was a researcher at JU Krakow. Before that, I was a postdoc at IMPAN, working in the group of Piotr Achinger. I did my PhD with 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.

Grants

I am the PI of the NCN Sonata grant "Homotopy Theory in Arithmetic Geometry via Condensed Mathematics".

Papers

Papers and preprints

  • Fundamental groups of proper varieties are finitely presented
    Joint work with Vasudevan Srinivas and Jakob Stix.
    Comptes Rendus. Mathématique, Volume 362 (2024), pp. 51-54.
  • Variants of the de Jong fundamental group
    Joint work with Piotr Achinger and Alex Youcis.
    American Journal of Mathematics (accepted for publication).
  • 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.
    Journal für die reine und angewandte Mathematik (Crelles Journal), 2023, doi:10.1515/crelle-2023-0013
  • 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 2022, no. 19, 15355-15389, doi:10.1093/imrn/rnab101
  • Fundamental Exact Sequence for the Pro-Étale Fundamental Group
    Algebra Number Theory 18 (2024), no. 4, 631-683, doi:10.2140/ant.2024.18.631.
  • On the inverse problem for deformations of finite group representations
  • Theses