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 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. Next meeting in Paris, February 7-9, 2024.

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

• Hecke cycles on moduli of vector bundles and orbital degeneracy loci
  with V. Benedetti, M. Bolognesi, D. Faenzi, 21 pages, arXiv:2310.06482.
  
  
• The Coble quadric
  with V. Benedetti, M. Bolognesi, D. Faenzi, 24 pages, arXiv:2307.05993.
  
  
• Matrices of linear forms of constant rank from vector bundles on projective spaces
  with R.M. Miro-Roig, 38 pages, arXiv:2304.08055, to appear in Advances.
  
  
• Equivariant spaces of matrices of constant rank
  with J.M. Landsberg, 26 pages, arXiv:2212.04228, to appear in PAMQ.
  
  
• A four dimensional cousin of the Segre cubic
  22 pages, arXiv:2211.16154, to appear in Rev. Mat. Iberoamericana.
  
  
• A birational involution
  with P. Beri, 43 pages, arXiv:2211.12866.
  
  
• 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.
  
  
• 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

• 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.
  
  

• 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.