# Publications

### Research Articles

1. (with Samit Dasgupta)The p-adic upper half plane. in p-adic geometry, 65–121, Univ. Lecture Ser., 45, Amer. Math. Soc., Providence, RI, 2008.
2. (with P. Schneider) Banach-Hecke algebras and p-adic Galois representations. Doc. Math. 2006, Extra Vol., 631–684.
3. (with P. Schneider) Duality for admissible locally analytic representations. Represent. Theory 9 (2005), 297–326. (with P. Schneider) Correction to: “p-adic boundary values” [Astérisque No. 278 (2002), 51–125; MR1922824]. Cohomologies p-adiques et applications arithmétiques. III. Astérisque No. 295, (2004), 291–299.
4. (with P. Schneider) Algebras of p-adic distributions and admissible representations. Invent. Math. 153 (2003), no. 1, 145–196.
5. (with P. Schneider) p-adic boundary values. Cohomologies p-adiques et applications arithmétiques, I. Astérisque No. 278, (2002), 51–125.
6. (with P. Schneider) Banach space representations and Iwasawa theory. Israel J. Math. 127 (2002), 359–380.
7. (with P. Schneider) Locally analytic distributions and p-adic representation theory, with applications to GL2. J. Amer. Math. Soc. 15 (2002), no. 2, 443–468.
8. (with P. Schneider) p-adic Fourier theory. Doc. Math. 6 (2001), 447–481.
9. (with P. Schneider) U(g)-finite locally analytic representations. With an appendix by Dipendra Prasad. Represent. Theory 5 (2001), 111–128.
10. (with G. Stevens and R. Coleman) Numerical experiments on families of p-adic modular forms. Computational perspectives on number theory (Chicago, IL, 1995), 143–158, AMS/IP Stud. Adv. Math., 7, Amer. Math. Soc., Providence, RI, 1998.
11. Euclid’s algorithm and the Lanczos method over finite fields. Math. Comp. 67 (1998), no. 224, 1665–1678.
12. (with P. Schneider) An integral transform for p-adic symmetric spaces. Duke Math. J. 86 (1997), no. 3, 391–433.
13. The geometry of p-adic symmetric spaces. Notices Amer. Math. Soc. 42 (1995), no. 10, 1120–1126.
14. (with R. Coleman) Numerical solution of the p-adic hypergeometric equation. p-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 53–62, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994.
15. Modular representations of PGL2 and automorphic forms for Shimura curves. Invent. Math. 113 (1993), no. 3, 561–580.
16. (with A. Libgober) Lines on Calabi-Yau complete intersections, mirror symmetry, and Picard-Fuchs equations. Internat. Math. Res. Notices 1993, no. 1, 29–39.
17. Rigid analytic modular forms: an integral transform approach. The arithmetic of function fields (Columbus, OH, 1991), 189–207, Ohio State Univ. Math. Res. Inst. Publ., 2, de Gruyter, Berlin, 1992.
18. Modular symbols for Fq(T). Duke Math. J. 68 (1992), no. 2, 271–295.
19. The Poisson kernel for Drinfelʹd modular curves. J. Amer. Math. Soc. 4 (1991), no. 3, 491–511. Values of p-adic L-functions and a p-adic Poisson kernel. Invent. Math. 101 (1990), no. 2, 395–410.
20. Geometry of an étale covering of the p-adic upper half plane. Ann. Inst. Fourier (Grenoble) 40 (1990), no. 1, 68–78. The computational complexity of the resolution of plane curve singularities. Math. Comp. 54 (1990), no. 190, 797–837.
21. On the computational complexity of the resolution of plane curve singularities. Symbolic and algebraic computation (Rome, 1988), 285–292, Lecture Notes in Comput. Sci., 358, Springer, Berlin, 1989.
22. On Drinfelʹd’s universal formal group over the p-adic upper half plane. Math. Ann. 284 (1989), no. 4, 647–674.
23. p-adic periods of genus two Mumford-Schottky curves. J. Reine Angew. Math. 385 (1988), 117–151.
24. (with B. Mazur and J. Tate) On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Invent. Math. 84 (1986), no. 1, 1–48.

### Books

1. (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.
2. (with U. Pabrai, V. Gurbani, S. Gregory and G.King) Webmaster Administrator Certification Exam Guide, McGraw-Hill, New York, 1997.
3. Linux Fundamentals, Prosoft I-Net Solutions, 1999. ISMB 1-5814-3097-3.
4. Linux System and Network Administration, Prosoft I-Net Solutions, 1999. ISBN: 1-5814-3102-3.
5. UNIX Fundamentals, Prosoft I-Net Solutions, 1999. ISBN: 1-5814-3095-7.
6. UNIX System and Network Administration, Prosoft I-Net Solutions, 1999. ISBN 1-5814-3100-7.

### Edited Volumes

(with D. Buell) Computational Perspectives on Number Theory, Proceedings of a conference in honor of
A.O.L. Atkin, American Mathematical Society-International Press Studies in Advanced Mathematics,
Volume 7, 1997.