On the nonexistence of automorphic eigenfunctions of exponential growth on SL(3,Z)\SL(3,R)/SO(3,R), with Tien D. Trinh, preprint. 
Generalizations of Banaszczyk's transference theorems and tail bound, with Noah StephensDavidowitz, preprint. 
Coppersmith's lattices and ``focus groups'': an attack on smallexponent RSA, with Bhargav Narayanan and Ramarathnam Venkatesan, preprint. 
A Spectral reciprocity formula and nonvanishing for Lfunctions on GL(4)xGL(2), with Valentin Blomer and Xiaoqing Li, preprint. 
Weights, raising and lowering operators, and Ktypes for automorphic forms on SL(3,R), with Jack Buttcane, to appear in Representation Theory, Complex Geometry, and Automorphic Forms, International Press. 
The balanced Voronoi formulas for GL(n), with Fan Zhou, International Mathematics Research Notices 2018. 
Estimates on Eisenstein distributions for reciprocals of padic Lfunctions: the case of irregular primes, with Stephen Gelbart, Ralph Greenberg, and Freydoon Shahidi, in Representation Theory, Number Theory, and Invariant Theory: In Honor of Roger Howe on the Occasion of His 70th Birthday, JuLee Kim, James Cogdell, and Chengbo Zhu, editors, pp. 193208, Progress in Mathematics 323, Birkhauser, 2017. 
The sphere packing problem in dimension 24, with Henry Cohn, Abhinav Kumar, Danylo Radchenko, and Maryna Viazovska, Annals of Mathematics 185 (2017), 10171033. 
Some properties of optimal functions for sphere packing in dimensions 8 and 24, with Henry Cohn, preprint. 
On the nonexistence of automorphic eigenfunctions of exponential growth on SL(3,Z)\SL(3,R)/SO(3,R), with Tien D. Trinh, preprint. Video presentation. 
Cryptanalysis of the NFL schedule (expository piece). 
Nonabelian analogs of lattice rounding, with Evgeni Begelfor and Ramarathnam Venkatesan, Groups Complexity Cryptology 7 (2015), pp.117133. 
SL(2,Z)invariance and Dinstanton contributions to the D^6R^4 interaction, with Michael B. Green and Pierre Vanhove, Communications in Number Theory and Physics 9 (2015), pp.307344. 
Entirety of cuspidal Eisenstein series on loop groups, with Howard Garland and Manish Patnaik, American Journal of Mathematics, 139 (2017), pp. 461512. 
A padic integral for the reciprocal of Lfunctions, with Stephen Gelbart, Alexei Pantchichkine, and Freydoon Shahidi, in Automorphic forms and related geometry: assessing the legacy of I. I. Piatetski Shapiro, pp.5368, Contemp. Math., 614, Amer. Math. Soc., Providence, RI, 2014 
Residual automorphic forms and spherical unitary representations of exceptional groups, Annals of Mathematics. 177 (2013), pp. 11691179. 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, J. Number Theory 146 (2015), pp. 187309. 
Fourier coefficients of automorphic forms, character variety orbits, and small representations, with Siddhartha Sahi, Journal of Number Theory 132 (2012), pp. 30703108. 
The archimedean theory of the Exterior Square Lfunctions over Q, with Wilfried Schmid, Journal of the American Mathematical Society 25 (2012), pp. 465506. 
Adelization of Automorphic Distributions and Mirabolic Eisenstein Series, with Wilfried Schmid, in Representation theory and mathematical physics, J. Adams, B. Lian, and S. Sahi, editors, Contemporary Mathematics 557 (2011), pp. 289334. 
Pairings of automorphic distributions, with Wilfried Schmid, Mathematische Annalen 353 (2012), pp. 581597. 
On the rapid decay of cuspidal automorphic forms, with Wilfried Schmid, Advances in Mathematics 231 (2012), 940964. 
Eisenstein series for higherrank 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. 551596. 
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 ShingTung Yau at Harvard, August 27Sept 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. 14911504. 
Nondegeneracy of Pollard Rho Collisions, with Ramarathnam Venkatesan, in International Mathematics Research Notices, 2009, pp.110. 
A method for computing general automorphic forms on general groups, Forum Mathematicum, 22 (2010), pp.12071211. 
Distinguishing attacks on stream ciphers based on arrays of pseudorandom words, with Nathan Keller, Information Processing Letters 110 (2010), pp. 129132. 
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 CTRSA 2007, Springer Verlag Lecture Notes in Computer Science, 4377 (2007), pp. 119. 
Spectral
Analysis
of Pollard Rho Collisions, with Ramarathnam Venkatesan,
Procedings of the 7^{th} Algorithmic
Number
Theory
Symposium (Berlin),
SpringerVerlag Lecture Notes in Computer Science 4076 (2006), pp.
573581. 
The
RankinSelberg method for
automorphic distributions, with Wilfried Schmid, Representation
Theory and
Automorphic Forms, Progress in Mathematics 255,
Birkhauser, Boston, 2008, pp.111150. 
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. 2140. 
Cancellation
in additively twisted sums on
GL(n), American
Journal of
Mathematics, 128
(2006), pp. 699729.

The
Highly Oscillatory
Behavior of Automorphic Distributions for SL(2), with Wilfried
Schmid, Letters
in Mathematical Physics, 69 (2004),
265286.

Automorphic Distributions, Lfunctions, and Voronoi Summation for GL(3), with Wilfried Schmid, Annals of Mathematics 164 (2006), pp. 423488. 
Distributions
and Analytic Continuation of Dirichlet Series, with Wilfried
Schmid, Journal of Functional Analysis, 214
(2004), pp.
155220.

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.
419440.
(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), 59112 
Nonvanishing of the central derivative of canonical Hecke Lfunctions, with Tonghai Yang, Math. Res. Letters, 7 (2000), pp. 263278. 
The
HighestLowest
Zero and
other Applications of Positivity, Duke
Mathematical
Journal, Volume 112, No. 1, pp.83116.

On the Existence and
Temperedness of Cusp Forms for SL(3,Z), Journal
für
die reine und angewandte
Mathematik, 533 (2001), pp.
127169. 
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.), SpringerVerlag New York, Inc. (1999), pp. 317327. PDF or Postscript 
Spectral
and Cohomological Applications of the RankinSelberg Method, International Mathematics Research Notices, 1996, No. 1, pp. 1526. 