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 interestsMy 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:
Algebra and Number Theory Seminar at UniWien
lois dot faisant at ista.ac.at
selected publicationsarticle
Geometric Batyrev-Manin-Peyre for equivariant compactifications of additive groups
Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 2023
article
Motivic distribution of rational curves and twisted products of toric varieties
Faisant, Loïs
Algebra & Number Theory 2025
PhD thesis
Stabilisation phenomena in moduli spaces of curves
Faisant, Loïs
Université Grenoble Alpes 2023
preprint
Motivic counting of rational curves with tangency conditions via universal torsors
arXiv:2502.11704 2025
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