Lucas Lagarde

Adress:

E-mail address : lagarde[at]math.univ-paris13.fr
Office: A307

Équipe «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, reciprocity obstructions) and algebraic cycles, and related topics (unramified cohomology, algebraic K-theory, motivic cohomology, motives, motivic homotopy theory).

Research

• Cycle class maps for zero-cycles over higher local fields
  In preparation.
• Degree three unramified cohomology of homogeneous spaces with finite stabilisers
  In preparation.
• On Modified Diagonal Cycles and the Beauville Decomposition of the Ceresa Cycle (with M. Moakher, M. Porzio, J. Rawson, and F. Trejos Suárez)
  32 pages, October 2025, arXiv:2510.07416 (submitted, revised May 2026).
• Unramified Brauer groups of homogeneous spaces with finite stabilisers and the Grunwald Problem
  41 pages, June 2025, arXiv:2506.02600 (submitted, revised June 2026).

Teaching

• Représentations linéaires des groupes finis, M1 Mathématiques Fondamentales, Institut Galilée (Spring 2025).

Seminars, study groups

• Séminaire des doctorants du LAGA, Université Sorbonne Paris-Nord.
  2025-2026, co-organised with Loth Chabi Damagui (LAGA) and Nicolas Guès (LAGA)

• Learning seminar on perverse sheaves, IMJ-PRG.
  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)