|Non-abelian analogs of lattice rounding, with Evgeni Begelfor and Ramarathnam Venkatesan, to appear in Groups Complexity Cryptology (2015).|
|SL(2,Z)-invariance and D-instanton contributions to the D^6R^4 interaction, with Michael B. Green and Pierre Vanhove, Communications in Number Theory and Physics 9 (2015), pp.307-344.|
|Entirety of cuspidal Eisenstein series on loop groups, with Howard Garland and Manish Patnaik, American Journal of Mathematics, to appear.|
|A p-adic integral for the reciprocal of L-functions, with Stephen Gelbart, Alexei Pantchichkine, and Freydoon Shahidi, to appear in a Contemporary Mathematics volume in memory of Ilya Piatetski-Shapiro.|
|Residual automorphic forms and spherical unitary representations of exceptional groups, to appear in the Annals of Mathematics. Computer programs can be found here.|
|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, Journal of Number Theory.|
|The archimedean theory of the Exterior Square L-functions over Q, with Wilfried Schmid, Journal of the American Mathematical Society 25 (2012), pp. 465-506.|
|Adelization of Automorphic Distributions and Mirabolic Eisenstein Series, with Wilfried Schmid in Contemporary Mathematics, volume in honor of the 60th birthday of Gregg Zuckerman.|
|Pairings of automorphic distributions, with Wilfried Schmid, Mathematische Annalen 353 (2012), pp. 581-597.|
|On the rapid decay of cuspidal automorphic forms, with Wilfried Schmid, Advances in Mathematics 231 (2012), 940-964.|
|Eisenstein series for higher-rank groups and string theory amplitudes, with Michael Green, Jorge Russo, and Pierre Vanhove, 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, 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.|
|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.|
of Pollard Rho Collisions, with Ramarathnam Venkatesan,
Procedings of the 7th Algorithmic
Springer-Verlag Lecture Notes in Computer Science 4076 (2006), pp.
Rankin-Selberg method for
automorphic distributions, with Wilfried Schmid, Representation
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.
in additively twisted sums on
(2006), pp. 699-729.
Behavior of Automorphic Distributions for SL(2), with Wilfried
in Mathematical Physics, 69 (2004),
|Automorphic Distributions, L-functions, and Voronoi Summation for GL(3), with Wilfried Schmid, Annals of Mathematics 164 (2006), pp. 423-488.|
and Analytic Continuation of Dirichlet Series, with Wilfried
Schmid, Journal of Functional Analysis, 214
Formulas, from Poisson and Voronoi to the Present, with
Schmid, in Noncommutative Analysis, in Honor of Jacques
Progress in Mathematics 220 (2003), Birkhäuser, pp.
(Includes a short explanation of the above two, longer
|"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.|
other Applications of Positivity, Duke
Journal, Volume 112, No. 1, pp.83-116.
|On the Existence and
Temperedness of Cusp Forms for SL(3,Z), Journal
die reine und angewandte
Mathematik, 533 (2001), pp.
A simpler way to show
PDF, Postscript, or DVI
spacings for regular
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,
Odlyzko (eds.), Springer-Verlag New York, Inc. (1999), pp. 317-327.
PDF or Postscript
and Cohomological Applications of the Rankin-Selberg Method,
International Mathematics Research Notices, 1996, No. 1, pp. 15-26.