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Loïs Faisant

ISTA

Am Campus 1

3400 Klosterneuburg

Austria

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.

Profile picture by Lena Ji 🧁.

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:

links

lois dot faisant at ista.ac.at

selected publications
  1. article

    Geometric Batyrev-Manin-Peyre for equivariant compactifications of additive groups

    Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 2023

  2. article

    Motivic distribution of rational curves and twisted products of toric varieties

    Faisant, Loïs

    Algebra & Number Theory 2025

  3. PhD thesis

    Stabilisation phenomena in moduli spaces of curves

    Faisant, Loïs

    Université Grenoble Alpes 2023

  4. preprint

    Motivic counting of rational curves with tangency conditions via universal torsors

    arXiv:2502.11704 2025


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