Research Interests

• Non-Archimedean Analytic Geometry
  
• Algebraic Geometry
  
• Number Theory
  

Selected Publications

* The marked files may be slightly different from the published versions, e.g., they may not include corrections made to the proofs.

A non-Archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures in Algebra, Arithmetic and Geometry. Volume I: In Honor of Y.I. Manin, Progress in Mathematics, vol. 269, Birkhäuser Boston, 2009, 49-67.	PDF	*267 KB
Non-archimedean analytic geometry: first steps in p-adic Geometry: Lectures from the 2007 Arizona Winter School, University Lecture Series, vol. 45, American Mathematical Society, Providence, R.I., 2008, 1-7.	PDF	121 KB
Integration of One-forms on P-adic Analytic Spaces Annals of Mathematics Studies 162, Princeton University Press, Princeton and Oxford, 2007, 156 pp.	PDF PUP	*886 KB $42, $80
Smooth p-adic analytic spaces are locally contractible. II in Geometric Aspects of Dwork Theory, Walter de Gruyter & Co., Berlin, 2004, 293-370.	PDF	569 KB
A result on vanishing cycles Appendix to Harris, M.; Taylor, R.: The Geometry and Cohomology of Some Simple Shimura Varieties, Annals of Mathematics Studies 151, Princeton University Press, Princeton and Oxford, 2001, 257-260.	PDF	*96 KB
An analog of Tate's conjecture over local and finitely generated fields Internat. Math. Res. Notices 2000, no. 13, 665-680.	PDF	167 KB
Smooth p-adic analytic spaces are locally contractible Invent. Math. 137 (1999), no. 1, 1-84.	PDF	676 KB
p-Adic Analytic Spaces in Proceedings of the International Congress of Mathematicians, Berlin, August 1998, Doc. Math. J. DMV, Extra Volume ICM II (1998), 141-151.	PDF	168 KB
Vanishing cycles for formal schemes. II Invent. Math. 125 (1996), no. 2, 367-390.	PDF	455 KB
Vanishing cycles for non-Archimedean analytic spaces J. Amer. Math. Soc. 9 (1996), no. 4, 1187-1209.	PDF	520 KB
The automorphism group of the Drinfeld half-plane C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 9, 1127-1132.	PDF	*146 KB
On the comparison theorem for étale cohomology of non-Archimedean analytic spaces Israel J. Math. 92 (1995), 45-60.	PDF	*170 KB
Vanishing cycles for formal schemes Invent. Math. 115 (1994), no. 3, 539-571.	PDF	*321 KB
Étale cohomology for non-Archimedean analytic spaces Publ. Math. IHES 78 (1993), 5-161.	PDF	16 MB
Spectral theory and analytic geometry over non-Archimedean fields Mathematical Surveys and Monographs, vol. 33, American Mathematical Society, Providence, RI, 1990, 169 pp.	AMS	$51, $64

Various Texts

(lecture notes and unfinished projects)

Non-archimedean analytic spaces Notes of lectures at the Advanced School on p-adic Analysis and Applications ICTP, Trieste, 31 August - 11 September 2009

PDF

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