Loïs Faisant
Browning group, ISTA.
ISTA
Am Campus 1
3400 Klosterneuburg
Austria
Since December 2023, I am a postdoc researcher in mathematics, working as an ISTBRIDGE & Marie SkłodowskaCurie 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.
links
 Browning Group
 Mathematics at ISTA
 Browning Group Working Seminar at ISTA
 Algebraic Geometry and Number Theory Seminar at ISTA

Algebra and Number Theory Seminar at UniWien
 Recours massif aux enseignants précaires : « La réalité, c’est que l’université n’a plus les moyens de fonctionner », Le Monde, 22 octobre 2024.
 « On a atteint un point quasi ingérable » : les universitaires croulent sous les heures complémentaires, Le Monde, 23 octobre 2024.
 Étude scientifique sur la précarité financière des doctorants à l’UGA, par P. Mercklé (Pacte) et P. Bataille (LaRAC), 2022.
contact
lois dot faisant at ista.ac.at
news
Jul 16, 2024  My second article Motivic distribution of rational curves and twisted products of toric varieties has been accepted for publication in Algebra & Number Theory . It corresponds to the core of my PhD thesis. 

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 ISTBRIDGE 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. 
selected publications

PhD thesis