Lucas Lagarde

Address :

Laboratoire Analyse, Géométrie et Applications
Institut Galilée – Université Sorbonne Paris Nord
99 avenue Jean-Baptiste Clément
93430 Villetaneuse
France

E-mail address : lagarde[at]math.univ-paris13.fr
Office : A307
Research group : Arithmétique et Géométrie Algébrique

I am a PhD student in the Laboratoire Analyse, Géométrie et Applications (LAGA) of Université Paris 13, under the supervision of Olivier Wittenberg. Before that, I was an ALGANT student at Universiteit Leiden and Université de Bordeaux.
I am mainly interested in (arithmetic) algebraic geometry, notably cohomological methods for rational points (Brauer-Manin, fppf descent) and algebraic cycles, and related topics (unramified cohomology, algebraic K-theory, motivic cohomology, motives, motivic homotopy theory).

Documents :

There might (surely) be a wide variety of errors hidden in these notes, reader beware.

Unramified cohomology, cycles, and integral Hodge classes (Master's thesis)

Some notes :

Toric reduction of J_0(N)

Galois categories , following SGA1, §4--§6 (in French, unfinished)

Modular curves over ℚ

On the cotangent complex (in French)

Model structure on simplicial categories , following Quillen's "Homotopical Algebra" (in French)

Left and right fibrations, joins and slices , following Cisinski's "Higher Categories and Homotopical Algebra", §3.4

Model structures ex nihilo , following Cisinski's "Higher Categories and Homotopical Algebra", §2.4

Cohomological Dimension and C_1 Fields

Brauer, Manin, and Rational Points (in French)

Seminars and study groups :

Seminar on Perverse Sheaves, Spring 2024, co-organised with Matteo Verni (IMJ-PRG)
Study Group on Mazur's Torsion Theorem [Online], Spring-Fall 2022, co-organised with Pedro-Jose Cazorla Garcia (University of Manchester)

[Last update : 05/12/23]