Address:
Institut Montpellierain Alexander Grothendieck
Universite' de
Montpellier
Case Courrier 051
Place Eugene Bataillon
34095 Montpellier cedex 5
France

Recent activities (future or past) : An introductory workshop
on algebraic statistics. Feel free to register and come!
Our favourite semestral seminar of algebraic geoemtry: the SMGA .
The 60th birthday conference of Angelo Vistoli.

Papers:

Rationality questions and motives of cubic fourfolds (with C. Pedrini), p.1-46 arXiv

Moduli spaces of (1,7)-polarized abelian surfaces and varieties of sums of powers (with A. Massarenti), p.1-9 arXiv

A variation on a conjecture of Fulton and Faber (with A. Massarenti), p. 1-34 arXiv

Some loci of rational cubic fourfolds ,
(with F.Russo, and an appendix by G.Stagliano?)
p.1-27 arXiv

Homological
Projective Duality for determinantal varieties. (with M.Bernardara
and D.Faenzi) p.1-23 Advances
in Math. 296 (2016), 181?209.
arXiv

Moduli
of abelian surfaces, symmetric theta structures and theta
characteristics. (with A. Massarenti) p.1-44 arXiv
To appear on Commentarii
Mathematici Helvetici

Mapping
class groups of trigonal loci. (with Michael Loenne) p. 1-23
arXiv, Selecta
Math. (N.S.) 22 (2016), no. 1,
417?445.

Factorization of point configurations, cyclic covers
and conformal blocks. (with N.Giansiracusa) p. 1-23 arXiv,
Journ. of the Eur. Math. Soc.,
Vol. 17, p.2453-2471

Cubic fourfolds containing a
plane and a quintic del Pezzo surface. (with A.Auel, M.Bernardara
and A.Varilly-Alvarado) journal,
Algebraic Geometry ,
Volume 1, Issue 2 (March 2014), p. 181-193

Fibrations
in complete intersection of quadrics, Clifford algebras, derived
categories and rationality problems. (with A.Auel and
M.Bernardara) arXivJour. de Math. pures et appl.
102 (2014), pp. 249--291.

Categorical representability
and intermediate Jacobians of Fano threefolds. (with M.Bernardara)
arXivEMS
Series of Congress Reports- Derived categories in algebraic
geometry, p.1?25,
EMS Ser. Congr. Rep., Eur. Math. Soc., Z?ich, 2012.

Derived
categories and rationality of conic bundles. (with M.Bernardara)
arXivCompositio
Mathematica 149, n.11,1789-1817
(2013).

Coherent systems and birational geometry of
SU_C(r). (with S.Brivio) arXivInternat. Journ. of Math (2012),
23 (4) 1-23.

Forgetful linear systems on the
projective space and rational normal curves over M_{0,2n}^{GIT}
arXivBull.
London Math. Soc. (2011) 43(3):
583-596.

A structure theorem for SU_C(2) and the
moduli of pointed rational curves. (with A.Alzati) arXivJ. Algebraic Geom. 24
(2015), no. 2, 283?310.

Stacks of trigonal curves (with A.Vistoli) arXivTrans. of the AMS ,
364 (7), 3365-3393.

Osculating spaces and diophantine
equations (with G.Pirola) arXivMath. Nach. Volume
284, Issue 8-9, pages 960?972,
June 2011

A Conic Bundle Degenerating on the Kummer
Surface arXivMath. Zeit. ,
261 n.1, 149-168

On Weddle Surfaces and Their Moduli
arXivAdv.
in Geom. 7 (2007), no. 1,
113-144.

Theses:

- Surfaces
de Weddle et Leurs Espaces de Modules, 99 pages. PDF.
(Phd Thesis, Universite' de Montpellier II, November 2006.)

- Fibres vectoriels, espaces de modules et categories
derivees, 68 pages. PDF. (Habilitation
Thesis, Universite' de Rennes I, November 2013.)

My Phd students and their work under my guidance:

Nestor Fernandez Vargas (2014-2017, co-advised by Frank Loray), moduli of parabolic bundles on elliptic curves, theta map for vector bundles on hyperelliptic curves, here's the first paper from his thesis (https://arxiv.org/abs/1611.05417, to appear on Transactions of the AMS).

Paul-Louis David (2016-2019, co-advised by Marcello Bernardara), derived categories of certain Fano threefolds and fourfolds.