Loïs Faisant

Browning group, ISTA.

prof_pic.jpg

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:

  • 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
  • applications of analytic number theory to algebraic geometry
  • interplay between birational geometry and arithmetics.


contact

lois dot faisant at ista.ac.at


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 2023
  2. article
    Motivic distribution of rational curves and twisted products of toric varieties
    Faisant, Loïs
    To appear in Algebra & Number Theory 2023
  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