| Small representations, string instantons, and Fourier modes of Eisenstein series, with Michael Green and Pierre Vanhove; includes appendix "Special unipotent representations" by Dan Ciubotaru and Peter E. Trapa. |
| Fourier coefficients of automorphic forms, character variety orbits, and small representations, with Siddhartha Sahi. |
| The archimedean theory of the Exterior Square L-functions over Q, with Wilfried Schmid, to appear in Journal of the American Mathematical Society. |
| Adelization of Automorphic Distributions and Mirabolic Eisenstein Series, with Wilfried Schmid, to appear in Contemporary Mathematics, volume in honor of the 60th birthday of Gregg Zuckerman. |
| Pairings of automorphic distributions, with Wilfried Schmid, to appear in Mathematische Annalen. |
| On the rapid decay of cuspidal automorphic forms, with Wilfried Schmid. |
| Eisenstein series for higher-rank groups and string theory amplitudes, with Michael Green, Jorge Russo, and Pierre Vanhove, to appear in Communications in Number Theory and Physics, Volume 4, No. 3, September 2010, pp. 551-596. |
| A general Voronoi summation formula for GL(n,Z), with Wilfried Schmid, to appear in Geometric analysis: Present and Future, procedings of a conference held in honor of the 60th birthday of Shing-Tung Yau at Harvard, August 27-Sept 1, 2008 (in the Advanced Lectures in Math series of International Press). |
| Expander graphs based on GRH and an application to elliptic curve cryptography , with David Jao and Ramarathnam Venkatesan, Journal of Number Theory 129 (2009), pp. 1491-1504. |
| Non-degeneracy of Pollard Rho Collisions, with Ramarathnam Venkatesan, in International Mathematics Research Notices, 2009, pp.1-10. |
| A method for computing general automorphic forms on general groups, Forum Mathematicum, 22 (2010), pp.1207-1211. |
| Distinguishing attacks on stream ciphers based on arrays of pseudo-random words, with Nathan Keller, Information Processing Letters 110 (2010), pp. 129-132. |
| Non-abelian analogs of lattice rounding, with Evgeni Begelfor and Ramarathnam Venkatesan, preprint (2010). |
| 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,
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,
Representation
Theory and
Automorphic Forms, Progress in Mathematics 255,
Birkhauser, Boston, 2008, pp.111-150. |
| 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. |