Toulouse Mathematics Institute

Paul Sabatier University
118, route de Narbonne
F-31062 Toulouse Cedex 9
France

Email: manivel@math.cnrs.fr

Research interests
Complex algebraic geometry
Homogeneous spaces and representations of algebraic groups
Quantum cohomology and derived categories
Geometric Complexity

Editor of the Journal de Mathématiques Pures et Appliquées, also known as Liouville's journal. Send your best papers!

Jean-Pierre Demailly (1957-2022)
Photo: Holly CHEN 2019

News

The special issue of the Gazette of the French Mathematical Society devoted to Jean-Pierre Demailly appeared this April.

The FanoHK project (From Fano manifolds to HyperKähler varieties), funded by the ANR, started in April 2021 and will last five years.
Next meeting in Dijon, June 16-18, 2025.

Preprints

• On linear sections of the spinor tenfold II
  with Y. Liu,
  48 pages, arXiv:2504.21056.
  
  
• Even nodal surfaces of K3 type
  with M. Bernardara, E. Fatighenti, G. Kapustka, M. Kapustka, G. Mongardi and F. Tanturri
  30 pages, arXiv:2402.08528.
  
  
• Hecke cycles on moduli of vector bundles and orbital degeneracy loci
  with V. Benedetti, M. Bolognesi, D. Faenzi, 21 pages, arXiv:2310.06482, to appear in JAG.
  
  
• A birational involution
  with P. Beri, 43 pages, arXiv:2211.12866.
  
  
• Fano fourfolds of K3 type
  with M. Bernardara, E. Fatighenti and F. Tanturri, 66 pages, arXiv:2111.13030, to appear in AIF.
  
  
• Proof of a conjecture of Sturmfels, Timme and Zwiernik
  9 pages, arXiv:2108.11085.
  
  

Recent publications

• Equivariant spaces of matrices of constant rank
  with J.M. Landsberg, Pure and Applied Mathematics Quarterly 21 (2025), 1209-1244.
  
  
• Discriminants of theta-representations
  with V. Benedetti, Ann. Sc. Norm. Super. Pisa 25 (2024), 2125-2148t.
  
  
• On the automorphisms of hyperplane sections of generalized Grassmannians
  with V. Benedetti, Transformation Groups 29 (2024), 1115-1159.
  
  
• Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming
  with M. Michalek, L. Monin, T. Seynnaeve, M. Vodicka, JEMS 26 (2024), 3091–3135.
  
  
• The Coble quadric
  with V. Benedetti, M. Bolognesi, D. Faenzi, Forum Math. Sigma 12 (2024), Paper e63, 25 pages.
  
  
• A four dimensional cousin of the Segre cubic
  Rev. Mat. Iberoamericana 40 (2024), 1089-1114.
  
  
• Matrices of linear forms of constant rank from vector bundles on projective spaces
  with R.M. Miro-Roig, Adv. Math. 436 (2024), Paper No. 109408, 42 pages.
  
  
• Four-Dimensional Lie algebras revisited
  with B. Sturmfels and S. Sverrisdóttir, J. Lie Theory 33 (2023), 703-712.
  
  

• On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws
  with J. Ferapontov, Manuscripta Math 172 (2023), 599–620.
  

• Horospherical two-orbits varieties as zero loci
  with B. Pasquier, Proc. Amer. Math. Soc. 151 (2023), 3347-3363.