Loïs Faisant

Browning group, ISTA.



Am Campus 1

3400 Klosterneuburg


Since December 2023, I am a postdoc researcher in mathematics, working as an IST-BRIDGE & Marie Skłodowska-Curie fellow in Tim Browning’s group, IST Austria.

Previously, I completed my PhD under the supervision of Emmanuel Peyre at Institut Fourier, Université Grenoble Alpes.

mathematical interests

My research lies at the intersection between algebraic geometry and number theory.

I study geometric objects such as moduli spaces of curves on varieties, using (which actually means also developping) motivic analogues of tools coming from algebraic or analytic number theory (theory of valuation rings, harmonic analysis, circle method, Cox rings and universal torsors…). Here is a poster with some pictures I made recently concerning motivic distribution of curves.

More broadly speaking, I am interested in the following topics:

  • moduli spaces of curves, bundles…
  • distribution of rational points/curves on varieties and variants such as Campana points/curves (Manin’s program and its variants)
  • \(p\)-adic/motivic integration, applications to geometry, topology and arithmetics
  • birational geometry, applications to arithmetics
  • analytic number theory, applications to algebraic geometry


lois dot my last name at ista.ac.at


Mar 30, 2024 In March 2024 I attended the workshop Enumerative Geometry and Arithmetic at Lorentz Center, Leiden.
Sep 1, 2023 In Fall 2023 I will be joining Browning’s group at IST Austria as an IST-BRIDGE fellow.
Jul 26, 2023 I successfuly defended my PhD thesis on July, 3rd.
Apr 6, 2023 In May I will give a talk at the Groups, Arithmetic & Algebraic Geometry Seminar at EPFL and attend the first meeting of the ERC ‘Groups of Algebraic Transformations’ in Rennes, France.
Feb 27, 2023 In March I will attend the first whorkshop of the ANR FRACASSO in Bordeaux, France.

selected publications

  1. article
    Geometric Batyrev-Manin-Peyre for equivariant compactifications of additive groups
    Faisant, Loïs
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 2022
  2. preprint
    Motivic distribution of rational curves and twisted products of toric varieties
    Faisant, Loïs
    arXiv preprint 2023
  3. PhD thesis
    Stabilisation phenomena in moduli spaces of curves
    Faisant, Loïs
    Université Grenoble Alpes 2023