Michele Bolognesi


Professor of Algebra and Geometry at the:
Institut Montpellierain Alexander Grothendieck 
Universite' de Montpellier

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

Tel.:

Fax:

Email:  michele.bolognesi(at)umontpellier(dot)fr

Personal: here.

Michele Bolognesi    

         


Domains of interest:
Algebraic geometry, moduli theory, derived categories, birational geometry, homological algebra, projective geometry.


A short CV : Vita.


Recent activities (future or past) :
An introductory workshop on algebraic statistics. Feel free to register and come!
Our favourite semestral seminar of algebraic geometry: the SMGA . Last edition was in Montpellier .
The 60th birthday conference of Angelo Vistoli.
Groupe de travail NAGANA , numerical algebraic geometry and algebraic numerical analysis.
Here's a complete list of my organizaational work.


Talks(future and - mostly - past) :
I have been talking around .


Master 2 - Mathematiques Fondamentales:

Plaquette 2020/2021 : Plaquette.


Papers:

Universal families of Gushel-Mukai fourfolds.(with A.Hawada), p.1-14   arXiv

A family of special cubic fourfolds with motive of abelian type.(with A.Hawada and C.¨Pedrini), p.1-15   arXiv

The Hitchin connection in arbitrary characteristic. (with T.Baier, J.Martens and C.Pauly), p.1-48   arXiv

Unirationality of certain universal families of cubic fourfolds. (with H. Awada), p.1-10   : here , and slides for a talk about this: there .

The hyperelliptic theta map and osculating projections. (with N. Fernandez-Vargas), p.1-22   : here .

The transcendental motive of a cubic fourfold (with C. Pedrini), p.1-20   arXiv to appear on Journ. of Pure and App. Alg.

Moduli spaces of (1,7)-polarized abelian surfaces and varieties of sums of powers (with A. Massarenti), p.1-14   arXiv Journal of Geometry and Physics, 2018, Vol. 125, 23-32.

Birational geometry of moduli spaces of configurations of points on the line (with A. Massarenti), p. 1-34   arXiv to appear on Algebra & Number Theory

Some loci of rational cubic fourfolds , (with F.Russo and G.Stagliano), p.1-27   arXiv Math. Annalen, 373, 165-190, (2019).

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
Commentarii Mathematici Helvetici, Vol. 91, Issue 3, 2016, 563-608,

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)   arXiv
Jour. de Math. pures et appl. 102 (2014), pp. 249--291.

Categorical representability and intermediate Jacobians of Fano threefolds. (with M.Bernardara) arXiv
EMS 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) arXiv
Compositio Mathematica 149, n.11,1789-1817 (2013).

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

Forgetful linear systems on the projective space and rational normal curves over M_{0,2n}^{GIT} arXiv
Bull. 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) arXiv
J. Algebraic Geom. 24 (2015), no. 2, 283?310.

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

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

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

On Weddle Surfaces and Their Moduli arXiv
Adv. 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 here


CV (in French)


Pour les etudiants: Enseignement et Encadrement.

Contatore siti