João Pedro P. dos Santos                                                                                                                                                                                       JP




Academic address:                                                                                                                                                                                                                        
Institut de Mathématiques de Jussieu   
Case 247 -- 4, Place Jussieu
75252 Paris Cedex
France
Tel: +33 (0) 1 44 27 90 12

(2006) PhD in Mathematics, DPMMS, University of Cambridge
(2003) Certificate of advanced Study in Mathematics, DPMMS, University of Cambridge
(2002) MS in Pure Mathematics, IMPA

CV

e-mail



Madonna del Velo

Research interests:

Arithmetic algebraic Geometry;  D-modules in positive and mixed characteristic; differential Galois theory; fundamental group-schemes in algebraic Geometry; vector bundles; rigid analytic Geometry; Tannakian categories.


Research articles:

Vector bundles trivialized by proper morphisms and the fundamental group scheme, II. (V. 24 May 2011.) With I. Biswas. To appear in the proceedings of the PIA2010 conference.

Vector bundles trivialized by proper morphisms and the fundamental group scheme. With. I. Biswas. Journal of the Inst. of Math. Jussieu (2011) 10(2), 225-234 doi:10.1017/S1474748010000071.

Triviality criteria for vector bundles over separably rationally connected varieties. With I. Biswas. To appear in Jour. of Algebra.

Lifting D-modules from positive to zero characteristic. Bulletin de la Société Mathématique de France Tome 139 Fasc. 2, 2011, 145--286.  See also Berthelot's article "A note on Frobenius divided modules in mixed characteristics" (link below).

On the vector bundles over rationally connected varieties. With I. Biswas. C. R. Acad. Sci. Paris, Mathematique, Volume 347, Issues 19-20, October 2009,  1173-1176
http://dx.doi.org/10.1016/j.crma.2009.09.006

A note on stratified modules with finite integral differential Galois groups. 

The behaviour of the differential Galois group on the generic and special fibres: A Tannakian approach. (V3 11.01.09). J. reine angew. Math. 637 (2009), 63--98. doi 10.1515/CRELLE.2009.091. 

Fundamental group-schemes in positive characteristic. Oberwolfach reports 0720. (Summary of "Fundamental group schemes for stratified sheaves". Based on a talk delivered at "Arithmetic and differential Galois groups", Oberwolfach, May 2007.)

Fundamental group schemes for stratified sheaves. Journal of Algebra, Volume 317, Issue 2, pp. 691–713 (2007). 

Local solutions to positive characteristic non-Archimedean differential equations. Compositio Mathematica 143 (2007) 1465–1477.

Remark: These are not the final published versions.


Also of interest:

Hints on mathematical writing, from the webpage of D. Goss.

A note on Frobenius divided modules in mixed characteristics, by Pierre Berthelot. (arXiv:1003.2571v1 [math.AG])

On a tannakian theorem due to Nori, by A. Bruguières.



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Last update : 24.05.2011