In preparation

Exponents for irregular differential modules: a tannakian approach to the theory of exponents. With Marco D'Addezio, Christopher Lazda and Ambrus Pál. (see my talk at Padova)

Finiteness of compactly supported de Rham cohomology of non-archimedean differential equations on Berkovich curves, with an application to rigid local systems. With Richard Crew. (See his talk at Padova)

Finite monodromy and de Rham index of non-archimedean differential equations. With Ambrus Pál.

Index theorem and Riemann-Hurwitz formula for non-archimedean differential equations over Berkovich curves.

Wild finite étale coverings of p-adic annuli. With Amina T. Azzouz.

Pre-prints	Formats
Regular singular differential modules over differential rings. 34 pages.	HAL pdf
The convergence Newton polygon of a p-adic differential equation VI : Global Index theorems. 87 pages. With J.Poineau.	(file available on demand)
The convergence Newton polygon of a p-adic differential equation V : Local Index theorems. 88 pages. With J.Poineau.	Arxiv pdf
The convergence Newton polygon of a p-adic differential equation IV : controlling graphs. 52 pages. With J.Poineau.	HAL pdf
The convergence Newton polygon of a p-adic differential equation III : Global decomposition. 103 pages. With J.Poineau.	HAL pdf
Banachoid Spaces With J.Poineau. 50 pages.	HAL pdf
Injective resolutions and acyclicity results for ultrametric locally convex vector spaces. 30 Pages.	(file available on demand)
Radius of convergence of non archimedean power series. 50 Pages.	(file available on demand)
Small connections are cyclic. 10 pages.	Arxiv pdf

Year	Papers	Formats
2024	An uncountable Mittag-Leffer condition with an application to ultrametric locally convex vector spaces. Journal de théorie des nombres de Bordeaux, Tome 35 (2024) no. 3, pp. 819-840.	Arxiv pdf
2017	Infinitesimal deformation of p-adic differential equations on Berkovich curves. Math. Annalen. June 2017, Volume 368, Issue 1-2, pp 111-164.	Arxiv pdf
2016	Rank one p-adic differential and q-difference equations over the Amice's ring. Contemporary Mathematics Vol. 665, (2016), p.260-287; ISBN: 978-1-4704-1988-2	Arxiv pdf
2015	The convergence Newton polygon of a p-adic differential equation II : Continuity and finiteness on Berkovich curves (with J.Poineau). Acta Mathematica 214 (2015), no. 2, 357-393.	Arxiv pdf
2015	The convergence Newton polygon of a p-adic differential equation I : Affinoid domains of the Berkovich affine line. Acta Mathematica. 214 (2015), no. 2, 307-355.	Arxiv pdf
2015	Continuity and finiteness of the radius of convergence of a p-adic differential equation via potential theory (with J.Poineau). Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2015, Issue 707, Pages 125-147.	Arxiv pdf
2013	An algorithm computing non solvable spectral radii of a p-adic differential equation. CRAS Vol. 351 - N. 5-6, p.167-171 - Mars 2013	Arxiv pdf
2011	A basic introduction to deformation and confluence of ultrametric differential and difference equations. Séminaires et Congrès 23 (2011), 331-366. (Notes of a talk at the ECOLE THEMATIQUE Théories galoisiennes et arithmétiques des équations différentielles, 21-25 september 2009, CIRM, Luminy, France.)	pdf
2009	Arithmetic and Differential Swan conductors of rank one representations with finite local monodromy. (with B.Chiarellotto) American Journal of Mathematics , Vol.131, p.1743-1794, (2009).	Arxiv pdf
2008	p-Adic Confluence of q-Difference Equations, Compositio Mathematica, Vol.144, p.867-919, (2008).	Arxiv pdf
2006	Rank One Solvable p-adic Differential Equations and finite Abelian Characters via Lubin-Tate Groups, Math. Annalen, Vol. 337, p.489-555, (2007)	Arxiv pdf Errata
2005	Frobenius structure for rank one $p-$adic differential equations. Contemporary Mathematics, Vol. 384, 11 pages, (2005);	pdf