Students

• Roland Abuaf (2010--), Around homological projective duality.
  

• Mateusz Michalek (2008--), Phylogenetic models and toric varieties, codirected with Jarek Wisniewski.

• Clélia Pech (2008--2011), On the quantum cohomology of odd symplectic varieties, defended on December 6th, 2011.
  

• Michaël Le Barbier (2005-2009), Varieties of reductions for reductive algebraic groups, codirected with Nicolas Ressayre.
  

• Ion Mihai (2002-2005), Odd symplectic flag varieties. The results of Ion's thesis are partially published in the paper
  Odd symplectic flag manifolds, Transformation Groups 12, 573-599 (2007).
  

• Pierre-Emmanuel Chaput (2000-2003), Geometry of some algebras and Vanishing theorems. Pierre-Emmanuel is now Professor in Nancy.
  

Recent Publications

• On the period map for prime Fano threefolds of degree ten
  with O. Debarre and A. Iliev,
  Journal of Algebraic Geometry 21 (2012), 21-59.
  

• On nodal prime Fano threefolds of degree ten
  with O. Debarre and A. Iliev,
  Science in China, Mathematics 54 (2011), 1591-1609,
  (special volume for Fabrizio Catanese).
  

• An overview of mathematical issues arising in the Geometric Complexity Theory approach to VP vs VNP
  with Peter Buergisser, J.M. Landsberg and Jerzy Weyman,
  SIAM Journal on Computing 40 (2011), 1179-1209.
  

• Fano manifolds of degree ten and EPW sextics
  with Atanas Iliev,
  Annales scientifiques de l'Ecole Normale Supérieure 44 (2011), 393-426.
  

• On the derived category of the Cayley plane
  Journal of Algebra 330 (2011), 177-187.
  

• On rectangular Kronecker coefficients
  Journal of Algebraic Combinatorics 33 (2011), 153-162.
  

• Cubics of dimension seven and the Cayley plane
  with A. Iliev,
  Oberwolfach Reports 27 (2010).
  

• Quasi-complete homogeneous contact manifold associated to a cubic form
  with J.-M. Hwang,
  in Vector Bundles and Complex Geometry, Contemporary Mathematics 522, AMS 2010, 105-112.
  

• Quantum cohomology of minuscule homogeneous spaces III. Semisimplicity and consequences
  with Pierre-Emmanuel Chaput and Nicolas Perrin,
  Canadian Journal of Mathematics 62 (2010), 1246-1263.

• Abel-Jacobi maps for hypersurfaces and non commutative Calabi-Yau's
  with A. Kuznetsov and D. Markushevich,
  Communications in Contemporary Mathematics 12 (2010), 373-416.
  

• A note on certain Kronecker coefficients
  Proc. Amer. Math. Soc. 138 (2010), 1-7.
  

Preprints

• On the derived category of the Cayley plane II
  with D. Faenzi, 13 pages, arXiv:1201.6327.

• Triangulations and Severi varieties
  with F. Chapoton, 19 pages, arXiv:1109.6490.
  

• Quantum cohomology and the Satake isomorphism
  with V. Golyshev, 25 pages, arXiv:1106.3120.
  

• On cubic hypersurfaces of dimension seven and eight
  with A. Iliev, 31 pages, arXiv:1102.3618.
  

• Fano manifolds of Calabi-Yau type
  with A. Iliev, 22 pages, arXiv:1102.3623.
  

• Chern classes of tensor products
  8 pages, arXiv:1012.0014.
  

• Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program
  with J.M. Landsberg and N. Ressayre,
  11 pages, arXiv:1004.4802, to appear in Commentarii Mathematici Helvetici.