Maxence Mayrand

Assistant Professor
Department of Mathematics
University of Sherbrooke

Research

Talks

CV

Teaching

Research

Google Scholar
arXiv

Keywords

Complex geometry; symplectic geometry; differentiable stacks; shifted symplectic geometry; quantum error correction; Dirac geometry; hyperkähler geometry; geometric quantization; holomorphic Poisson geometry; Lie groupoids; Lie algebras; moment maps; geometric invariant theory; singular spaces; moduli spaces; gauge theory; Yang—Mills equations.

Papers

  1. Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes (with Baptiste Royer)
    arXiv:2605.28784 [pdf]
  2. Lax-Kirchhoff moduli spaces and Hamiltonian 2D TQFT (with M. Maiza)
    Geometriae Dedicata (2026)
    arXiv:2510.23567 [pdf]
  3. Deformations of quasi-Hamiltonian spaces (with J.P. Burelle and M. Maiza)
    Differential Geometry and its Applications (2026)
    arXiv:2505.16689 [pdf]
  4. Grothendieck-Springer resolutions and TQFTs (with Peter Crooks)
    Canadian Journal of Mathematics (2026)
    arXiv:2504.10285 [pdf]
  5. The Moore-Tachikawa conjecture via shifted symplectic geometry (with Peter Crooks)
    Selecta Mathematica (to appear)
    arXiv:2409.03532 [pdf]
  6. Scheme-theoretic coisotropic reduction (with Peter Crooks)
    Quarterly Journal of Mathematics (2026)
    arXiv:2408.11932 [pdf]
  7. Shifted coisotropic structures for differentiable stacks
    Advances in Mathematics (2025)
    arXiv:2312.09214 [pdf]
  8. Reduction along strong Dirac maps (with Ana Balibanu)
    Proceedings of the London Mathematical Society (2026)
    arXiv:2210.07200 [pdf]
  9. Symplectic reduction along a submanifold (with Peter Crooks)
    Compositio Mathematica (2022)
    arXiv:2107.03198 [pdf]
  10. Hyperkähler metrics near Lagrangian submanifolds and symplectic groupoids
    Journal für die reine und angewandte Mathematik (Crelle's Journal) (2022)
    arXiv:2011.09282 [pdf]
  11. Kempf—Ness type theorems and Nahm equations
    Journal of Geometry and Physics (2019)
    arXiv:1809.04518 [pdf]
  12. Stratification of singular hyperkähler quotients
    Complex Manifolds (2022)
    arXiv:1807.05992 [pdf]
  13. Stratified hyperkähler spaces from semisimple Lie algebras
    Transformation Groups (2020)
    arXiv:1709.09126 [pdf]
  14. Particle motion in monopoles and geodesics on cones
    Symmetry, Integrability and Geometry: Methods and Applications (2014)
    arXiv:1407.7919 [pdf]

PhD thesis (University of Oxford, 2019)

Notes