Finski Siarhei*

 
Contact:

École Polytechnique,
CMLS, Office: 06.1006



Email: finski.siarhei(at)gmail.com
siarhei.finski(at)polytechnique.edu

Position:

I am a researcher (chargé de recherche, CNRS) in Center of Mathematics Laurent Schwartz, École Polytechnique. From September 2019 to October 2021, I was as a postdoctoral researcher in Université Grenoble Alpes, France, working under the direction of Jean-Pierre Demailly. Prior to that I was a graduate student in Université Paris Diderot, France, working under the direction of Xiaonan Ma.

Research interests:

I am mainly interested in global analysis on manifolds and complex geometry. Based on the methods from those areas, my work relates to Atiyah-Singer theorem, local index theory, semi-classical analysis and probability theory.

Currently I'm working on extension problems in complex geometry and their applications.

Publications and preprints:

Proceedings:

Conference talks:

Seminar talks:

  • 2022
    "Semiclassical Ohsawa-Takegoshi extension theorem and applications".
    Informal seminar on complex geometry, Kyoto University, Japan.
  • 2022
    "Spanning trees, graph approximations and zeta-regularized determinant of Laplacian".
    Rencontre de l’ANR Dimers, Institut Camille Jordan, Lyon, France. Slides.
  • 2022
    "Semiclassical Ohsawa-Takegoshi extension theorem".
    Seminar of Analysis and Geometry, UPMC, Paris, France. Slides.
  • 2021
    "Global analysis on manifolds: discrete and continuous".
    Journée de rentrée du CMLS, École Polytechnique, France. Slides.
  • 2021
    "Semiclassical Ohsawa-Takegoshi extension theorem".
    Séminaire de géométrie, École Polytechnique, CMLS, France. Slides.
  • 2021
    "On Monge-Ampère volumes of direct images".
    Seminar on Complex Algebraic Geometry and Complex Analysis,
    in Zoom, joint between Bochum-Essen-Köln-Wuppertal, Germany.
    Slides.
  • 2021
    "On characteristic forms of positive vector bundles, local Kempf-Laksov formula and mixed discriminants".
    Seminar on Dirac operators joint with Séminaire d’Analyse et Géométrie, University of Paris-Sud joint with UPMC, France. Slides.
  • 2021
    "On Riemann-Roch-Grothendieck theorem for punctured curves with hyperbolic singularities".
    Geometry, Number Theory, and Representation Theory Seminar, University of Alberta, Canada. Slides.
  • 2021
    "On characteristic forms of positive vector bundles, local Kempf-Laksov formula and mixed discriminants".
    Séminaire Analyse Harmonique, University Paris-Sud, France. Slides.
  • 2020
    "On characteristic forms of positive vector bundles and mixed discriminants".
    Seminar on Complex Geometry, Institut Fourier, Saint-Martin-d'Hères, France.
  • 2020
    "Spanning trees, loop measures and zeta-regularized determinants of Laplacian".
    The Hypoelliptic Laplacian and NCG Seminar. Slides, Video.
  • 2020
    "Spanning trees, loop measures and zeta-regularized determinants of Laplacian on half-translation surfaces".
    Théorie spectrale et géométrie, Institut Fourier, Saint-Martin-d'Hères, France. Slides.
  • 2019
    "Riemann-Roch-Grothendieck theorem for families of curves with hyperbolic cusps and its applications to the moduli space of curves".
    Seminar Differentialgeometrie, Albert Ludwigs University of Freiburg, Freiburg, Germany. Slides.
  • 2019
    "Torsion analytique des surfaces cuspidales et ses applications aux espaces de modules", 3 hours.
    Seminar on Dirac operators, University of Paris-Sud, Orsay, France.
  • 2019
    "Riemann-Roch-Grothendieck theorem for families of surfaces with hyperbolic cusps and its applications to the moduli space of curves", 1.5 hours.
    Seminar SAD, University of Cologne, Cologne, Germany. Slides.
  • 2019
    "Riemann-Roch-Grothendieck theorem for families of surfaces with hyperbolic cusps and its applications to the moduli space of curves".
    Seminar GAAO, Université Clermont Auvergne, Clermont-Ferrand, France. Slides.
  • 2018
    "Determinant of Laplacian and Riemann-Roch-Grothendieck theorem with hyperbolic cusps".
    Seminar of Analysis and Geometry, UPMC, Paris, France. Slides (in French).
  • 2018
    "Riemann-Roch-Grothendieck theorem in the presence of hyperbolic cusps".
    Arbre du Noël du GDR GNC, University of Lorraine, Metz, France. Slides.
  • 2017
    "Analytic L2 invariants: Betti numers, Novikov-Shubin-invariants, torsion; classical analytic torsion".
    La Llagonne workgroup on L2 invariants, Matemale, France. Notes.
  • 2015
    "Hydrodynamics of perfect fluids and diffeomorphism group".
    Working group on infinitely-dimensional manifolds, ENS (Paris), France.
  • 2015
    "Kesten conjecture and a theorem of Varopoulos".
    Working group on random walks on graphs and groups, ENS (Paris), France.
  • 2014
    "Poisson boundary and Dirichlet problem at infinity".
    Working group on random walks on graphs and groups, ENS (Paris), France.

Short scientific visits:

CV in pdf:

  • 2016-19
    PhD in Fundamental mathematics, Université Paris Diderot, Paris 7, France
    Title: "On some problems of holomorphic analytic torsion".
    Under the supervision of Xiaonan Ma.
    Defended on 13.06.2019 in front of the jury: Jean-Michel Bismut, José Ignacio Burgos Gil, Claire Debord, Gerard Freixas i Montplet, Colin Guillarmou, Xiaonan Ma, Peter Zograf.
  • 2013-16
    École normale supérieure (Paris) diploma in Fundamental mathematics
    École normale supérieure, Paris, France
    "Local index theory and analytic torsion". Presentation (in French).
    Under the supervision of Xiaonan Ma.
  • 2014-15
    Master 2 Fundamental mathematics
    Université Paris Diderot, Paris 7, France
    "Holomorphic quantification commutes with reduction".
    Under the supervision of Xiaonan Ma.
  • 2013-14
    Master 1 Mathematics
    École normale supérieure, Paris, France
    "The Riemannian structure on the set of plane curves".
    Under the supervision of Irène Waldspurger.
  • 2010-13
    Bachelor of Science in Applied mathematics and computer science
    Belarusian State University, Minsk, Belarus
    Lie algebras, elementary algebraic geometry.
    Under the supervision of Boris Doubrov.

Teaching:

  • 2016-18
    Linear algebra and analysis for 1st and 2nd year students
    Université Paris Diderot, Paris 7
  • 2010-12
    Lecturer at the National Summer School for Talented Youth
    Naroch, Belarus
  • 2010-12
    Preparing high-school students for mathematical olympiads.
    Author of problems and member of the jury of national mathematical competitions

    Gymnasium 29, Belarus, Minsk
*"Siarhei" is the transliteration of my given name from Belarusian to English. This variant appears in my passport and is the only version used officially. In personal commutications I usually use more common transliteration from Russian, which is "Sergey".