Publications

If you have access to Math Sci Net, you can see my publications here.

(with B. Mazur and J. Tate), On $p$--adic analogues of the conjecture of Birch and Swinnerton--Dyer, Invent. Math. 84:1--48, 1986.

$p$--adic periods of genus two Mumford--Schottky curves, J. Reine Angew. Math. 385:117--151, 1988.

On Drinfeld's universal formal group over the $p$--adic upper half plane, Math. Ann. 284:647-674, 1989.

On the computational complexity of the resolution of plane curve singularities, Math. Comp. 54:797--837, 1990.

The computational complexity of the resolution of plane curve singularities, (extended abstract), Symbolic and Algebraic Computation, Springer Lecture Notes in Computer Science 358, (P. Gianni, ed.), Springer--Verlag, New York, 1989.

Rigid geometry of an \'etale covering of the $p$--adic upper half plane, Ann. Inst. Fourier (Grenoble) 40:69--78, 1990.

Values of $p$--adic $L$--functions and a $p$-adic Poisson Kernel, Invent. Math. 101:395--410, 1990.

The Poisson kernel for Drinfeld modular curves, Journal of the American Mathematical Society 4:491--511, 1991.

Modular Symbols for Fq(T), Duke Mathematical Journal, 68:271--295, 1992.

Rigid Analytic Modular Forms: An Integral Transform Approach, in The Arithmetic of Function Fields, edited by D. Goss, D. R. Hayes, and M. I. Rosen. deGruyter Press, Berlin, 1992.

Numerical Solution of a $p$--adic hypergeometric equation (with R. Coleman), in Proceedings of the Conference on $p$--adic monodromy and the Birch--Swinnerton--Dyer Conjecture, Contemporary Mathematics series of the AMS, Providence, 1994.

Modular representations of PGL_{2} and automorphic forms for Shimura curves, Inventiones Math. 113:561--580, 1993.

(with A. Libgober) Lines on Calabi--Yau complete intersections, mirror symmetry, and Picard--Fuchs equations, Duke International Mathematics Research Notices, 1993, Number 1.

The geometry of $p$--adic symmetric spaces, Notices of the American Mathematical Society, Volume 42, Number 10, (October 1995), pages 1120--1126.

(with P. Schneider) An integral transform for p-adic symmetric spaces, Duke Mathematics Journal, Volume 86, Number 3, 391-433, 1997.

(with R. Coleman and G. Stevens) Numerical experiments on families of p-adic modular forms, in Computational Perspectives on Number Theory, AMS-IP Studies in Advanced Mathematics Volume 7, 1997

Euclid's algorithm and the Lanczos method over finite fields, Math. Comp. 67 (1998), no. 224, 1665-1678.

(with P. Schneider) p-adic Boundary Values , in Cohomologies p-adiques et applications arithmetiques, Asterisque 278, Societe Math. de France, 2002. This file contains an updated version of the published paper; changes are indicated in the margin.

(with P. Schneider) Locally analytic distributions and $p$-adic representation theory, with applications to GL_2, Journal of the AMS, 15, number 2, pp. 443-468 (2002). )

(with P. Schneider, D. Prasad) U(g)-finite locally analytic representations , Representation Theory, Volume 5, 2001, 111-128.

(with P. Schneider) p-adic Fourier Theory , Documenta Math., Vol. 6, (2001), 447-481.

(with P. Schneider) Banach space representations and Iwasawa theory, Israel J. Math. 127, 359-380 (2002).

(with P. Schneider) Algebras of p-adic distributions and admissible representations, Inventiones Math., 153 (2003), no. 1, 145--196.

(with P. Schneider) Duality for admissible locally analytic representations, Represent. Theory {\bf 9} (2005), 297--326

(with P. Schneider) Correction to p-adic boundary values, Asterisque No. 295 (2004), 291--299.

(with P. Schneider) Banach-Hecke algebras and p-adic Galois representations, Coates Festschrifft, Documenta Math. 2006, 631--684.

(with S. DasGupta) Lectures on the $p$-adic upper half plane. To appear.

Reviews

Review of Prime Numbers: A computational Perspective by Crandall and Pomerance, Bulletin of the AMS, Volume 39, Number 3, 2002.

Review of Fourier analysis on number fields by Ramakrishnan and Valenza, Bulletin of the AMS, Volume 37, Number 3, 2000.

Featured review (MR97i:11062) of Basic Structures of function field arithmetic by David Goss, Ergebnisse der Mathematik (3), Springer, 1996.

Featured review (MR1884617) of Darmon, H. Integration on Hp (times) H and arithmetic applications, Annals of Math (2), 154 (2001) number 3 589--639.

Books

Number Theory and the Foundations of Arithmetic, a course for elementary and middle school teachers. DRAFT.

(with Sol Friedberg and the BC Case Project), Teaching mathematics in colleges and universities: case studies for today's classroom. AMS-MAA, Providence, 2001. ISBN 0-8218-2875-4.

(with U. Pabrai, V. Gurbani, et. al.) Net Guru Technologies Webmaster Certification Exam Guide, McGraw Hill, 1997.

Editorships

Last Updated August, 2007