Loïs Faisant

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.

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