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 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.
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 my last name 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. |
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| 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 IST-BRIDGE 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
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PhD thesis