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

Editorial Board member of the Bulletin of the French Mathematical Society
and of the Journal de Mathématiques Pures et Appliquées. Send your best papers!

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

News

Within the framework of J.M. Landsberg's "Excellence Chair" funded by CIMI , a workshop Secant v. Cactus will be organized at the Toulouse Mathematics Institute from May 9 to May 12, 2023.

The FanoHK project (From Fano manifolds to HyperKähler varieties), funded by the ANR, started in April 2021 and will last four years.
Last meeting in Strasbourg, January 9-11, 2023.

A conference in honor of Jean-Pierre Demailly will be organized at the Fourier Institute (Grenoble), on June 3-7, 2024. Save the date!

Preprints

• Matrices of linear forms of constant rank from vector bundles on projective spaces
  with R.M. Miro-Roig, 38 pages, arXiv:2304.08055.
  
  
• Equivariant spaces of matrices of constant rank
  with J.M. Landsberg, 26 pages, arXiv:2212.04228.
  
  
• A four dimensional cousin of the Segre cubic
  22 pages, arXiv:2211.16154.
  
  
• A birational involution
  with P. Beri, 43 pages, arXiv:2211.12866.
  
  
• Four-Dimensional Lie algebras revisited
  with B. Sturmfels and S. Sverrisdóttir, 9 pages, arXiv:2208.14631, to appear in J. Lie Theory.
  
  
• Discriminants of theta-representations
  with V. Benedetti, 20 pages, arXiv:2204.02020, to appear in Annali SNS di Pisa.
  
  
• Fano fourfolds of K3 type
  with M. Bernardara, E. Fatighenti and F. Tanturri, 66 pages, arXiv:2111.13030.
  
  
• On the automorphisms of hyperplane sections of generalized Grassmannians
  with V. Benedetti, 39 pages, arXiv:2110.00255, to appear in Transformation Groups.
  
  
• Proof of a conjecture of Sturmfels, Timme and Zwiernik
  9 pages, arXiv:2108.11085.
  
  
• Horospherical two-orbits varieties as zero loci
  with B. Pasquier, 14 pages, arXiv:2012.05513, to appear in Proc. AMS.
  
  
• Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming
  with M. Michalek, L. Monin, T. Seynnaeve, M. Vodicka, 34 pages, arXiv:2011.08791, to appear in JEMS.
  
  

Recent publications

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

• On the equations defining some Hilbert schemes
  with J.D. Hauenstein and B. Szendroi, Vietnam J. Math. 50 (2022), 487-500.

• On the automorphisms of Mukai varieties
  with Th. Dedieu, Math. Z. 300 (2022), 3577-3621.
  
  
• The double Cayley Grassmannian
  Math. Research Letters 28 (2021), 1765-1792.
  
  
• Gradings of Lie algebras, magical spin geometries and matrix factorizations
  with R. Abuaf, Representation Theory 25 (2021), 527–542.
  
  
• Nested varieties of K3 type
  with M. Bernardara and E. Fatighenti, Journal de l’École polytechnique 8 (2021), 733-778.
  
  
• The geometry of the Coble cubic and orbital degeneracy loci
  with V. Benedetti and F. Tanturri, Math. Annalen 379 (2021), 415-440.