| Non-degeneracy of Pollard Rho Collisions, with Ramarathnam Venkatesan, to appear in International Mathematics Research Notices. |
| A method for computing general automorphic forms on general groups, preprint (2008). |
| Non-abelian analogs of lattice rounding, with Evgeni Begelfor and Ramarathnam Venkatesan, preprint (2007). |
| MV3: A new stream cipher based on random walks and revolving buffers, with Nathan Keller, Ilya Mironov, and Ramarathnam Venkatesan, Topics in Cryptology -- Procedings of CT-RSA 2007, Springer Verlag Lecture Notes in Computer Science, 4377 (2007), pp. 1-19. |
| Spectral
Analysis
of Pollard Rho Collisions, with Ramarathnam Venkatesan, to
appear
in the Procedings of the 7th Algorithmic Number
Theory
Symposium (Berlin),
Springer-Verlag Lecture Notes in Computer Science 4076 (2006), pp.
573-581. |
| The
Rankin-Selberg method for
automorphic distributions, with Wilfried Schmid, to appear in
“Representation
Theory and
Automorphic Forms”, Procedings of an International Symposium at Seoul
National
University, February 2005, Toshiyuki Kobayashi, Wilfried Schmid, and
Jae-Hyun
Yang, editors, Birkhauser, Boston. |
| Some Conjectures on
Optimal
Functions for Sphere Packing in Dimensions 8 and 24 (preliminary
version), with Henry
Cohn. |
| Do All Elliptic Curves of the Same Order Have the Same Difficulty of Discrete Log?, with David Jao and Ramarathnam Venkatesan, in Advances in Cryptology - ASIACRYPT 2005: 11th International Conference on the Theory and Application of Cryptology and Information Security, Springer Verlag Lecture Notes in Computer Science, 3788 (2005), pp. 21-40. |
|
Cancellation
in additively twisted sums on
GL(n), American
Journal of
Mathematics, 128
(2006), pp. 699-729.
|
|
The
Highly Oscillatory
Behavior of Automorphic Distributions for SL(2), with Wilfried
Schmid, Letters
in Mathematical Physics, 69 (2004),
265--286.
|
| Automorphic Distributions, L-functions, and Voronoi Summation for GL(3), with Wilfried Schmid, Annals of Mathematics 164 (2006), pp. 423-488. |
|
Distributions
and Analytic Continuation of Dirichlet Series, with Wilfried
Schmid, Journal of Functional Analysis, 214
(2004), pp.
155-220.
|
|
Summation
Formulas, from Poisson and Voronoi to the Present, with
Wilfried
Schmid, in Noncommutative Analysis, in Honor of Jacques
Carmona,
Progress in Mathematics 220 (2003), Birkhäuser, pp.
419-440.
(Includes a short explanation of the above two, longer
papers.)
|
| "Riemann's Zeta Function and Beyond," with Stephen Gelbart, Bulletin of the American Mathematical Society, 41, (2004), 59-112 |
| Non-vanishing of the central derivative of canonical Hecke L-functions, with Tonghai Yang, Math. Res. Letters, 7 (2000), pp. 263-278. |
|
The
Highest-Lowest
Zero and
other Applications of Positivity, Duke
Mathematical
Journal, Volume 112, No. 1,
pp.83-116.
|
| On the Existence and
Temperedness of Cusp Forms for SL(3,Z), Journal
für
die reine und angewandte
Mathematik, 533 (2001), pp.
127-169. |
|
A simpler way to show
zeta(3) is
irrational PDF, Postscript, or DVI |
|
Level
spacings for regular
graphs (with
D. Jakobson, I. Rivin, and Z. Rudnick), The IMA Volumes in Mathematics
and its Applications, Volume 109, "Emerging Applications of Number
Theory," Dennis Hejhal, Fan Chung, Joel Friedman, Martin Gutzwiller,
and Andrew
Odlyzko (eds.), Springer-Verlag New York, Inc. (1999), pp. 317-327. PDF or Postscript |
| Spectral
and Cohomological Applications of the Rankin-Selberg Method, International Mathematics Research Notices, 1996, No. 1, pp. 15-26. |