Sylvain Gaulhiac

Sylvain Gaulhiac

Postdoc at IMPAN

Instytut Matematyczny PAN

I am a postdoctoral fellow in mathematics at IMPAN, in Warsaw, in the group of Piotr Achinger. I am funded by the ERC KAPIBARA. Previously I was a postdoc in University of Alberta, Edmonton. Before that I did my PhD under the supervision of Antoine Ducros at Sorbonne Université.

I am working in algebraic and arithmetic geometry. I am interested in Berkovich spaces, more generally in rigid-analytic geometry, as well as anabelian geometry in these spaces. I like fundamental groups, and I studied a lot the tempered fundamental group of a rigid analytic variety throught the prism of anabelian geometry.

Interests
  • Algebraic / arithmetic geometry
  • Rigid-analytic spaces, Berkovich spaces
  • Anabelian geometry
  • Tempered fundamental group
Education
  • PhD in Mathematics, 2020

    Sorbonne Université

  • Agrégation Externe de Mathématiques, 2015

  • Master 2 in Algebra and Geometry, 2015

    École Normale Supérieure de Rennes and Université de Rennes

Research

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(2023). Reconstruction anabélienne du squelette des courbes analytiques. Annales de l’Institut Fourier, 73 (2023), No.3, p.999-10841.

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(2023). Towards tempered anabelian behaviour of Berkovich annuli. Bulletin de la Société Mathématique de France, 151, No.1, p.1-36.

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(2022). Comparison between admissible and de Jong coverings of rigid analytic spaces in mixed characteristic. submitted for publication, arXiv:2201.08065.

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Notes

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Teaching

  • 2021 Calculus 1, Math 100, Instructor, University of Alberta
  • 2019-2020 Differential equations (level L2), Teaching Assistant, Sorbonne Université
  • 2019-2020 Algebra (level L3), Teaching Assistant, Sorbonne Université
  • 2019-2020 Arithmetic and algebra (level L2), Teaching Assistant, Sorbonne Université
  • 2017-2018 Euclidean and Hermitian vector spaces, affine isometries (level L2), Teaching Assistant, Sorbonne Université
  • 2017-2018 Isometry groups and symmetrical groups (level L2), Teaching Assistant, Sorbonne Université
  • 2017-2018 Arithmetic and algebra (level L2), Teaching Assistant, Sorbonne Université
  • 2016-2017 Linear algebra 2, Euclidean vector spaces, affine isometries (level L2), Teaching Assistant, Sorbonne Université
  • 2016-2017 Analysis and algebra for science (level L1), Teaching Assistant, Sorbonne Université
  • 2018–2020 Courses given to students preparing the french Agrégation Externe de Mathématiques (highest teaching competitive exam).
  • 2015–2016 Interrogations (khôlles) given in preparatory classes MPSI in Lycée Louis-le-Grand (Paris).

Music

Out of mathematics I am a pianist as well as a musical critic in classical music for Bachtrack, specialized in piano and chamber music, but also covering orchestra. I wrote numerous reviews of concerts, as well as some interviews of musicians or program of concerts. Here is my page on Bachtrack. Several times I was part of the Press Jury for the International Competition for Outstanding Piano Amateurs.

Gallery with some of my photos

Contact