Faculty Positions Held
Professor of Mathematics, Rutgers University
Graduate Vice-Chair of Mathematics, Rutgers University
Associate Professor of Mathematics, Rutgers University
Associate Professor of Mathematics, Hebrew University
Assistant Professor of Mathematics, Rutgers University
Assistant Professor of Mathematics, Yale University
Visiting and Postdoctoral Positions
Visiting Professor, Hebrew University
Consultant, Cryptography and Anti-Piracy Group, Microsoft Research
Consultant, Theory Group, Microsoft Research
NSF Postdoctoral Fellowship, Harvard University
NSF Postdoctoral Fellowship, UC San Diego
Ph.D., Princeton University,
Advisor: Peter Sarnak
M.A., Princeton University
A.B. University of California, Berkeley
Advanced Complex Variables ("Funktziot Merukavot Mitkadem"), included Prime number theorem and Riemann zeta function.
Rutgers University, 2001-
Courses include: Multivariable calculus, number theory, linear algebra, differential equations, cryptography, probability, topics in mathematics for liberal arts.
Graduate Courses in Automorphic Representations, Algebraic Number Theory.
Graduate (VIGRE) rotations in algebraic and analytic number theory.
Yale University, 1997-2001
Courses included: Real Analysis, Senior Seminar on Modular Forms,
Multivariable Calculus (head of course).
Graduate Courses in Number Theory and Automorphic Forms.
Co-founder of the Yale "Research Opportunities in
Mathematics and Economics "
through which Juniors pursue research under the direction of a faculty
Princeton University, Fall
Instructor, Freshman Calculus
Park City/Institute for Advanced Study, July 1994
Teaching Assistant, Summer Institute on Gauge Theory
National Science Foundation grant in Number Theory, DMS-0901594, 2009-2012.
National Science Foundation grant in Number Theory, DMS-0601009, 2006-2009.
National Science Foundation grant in Number Theory, DMS-0301172, 2003-2006.
Alfred P. Sloan Fellow, 2003-2006.
National Science Foundation grant in Number Theory, DMS-0122799, 2001-2003.
National Security Agency Young Investigators Grant for Number Theory, 1999-2000.
Yale University Hellman Fellowship for junior faculty, 1998-2001.
Initial, 3-year funding for the "Research Opportunities in Mathematics and Economics" (R.O.M.E.) program, Yale College Dean's Office, 1998-2001.
National Science Foundation Travel Grant for the 1998 International Congress of Mathematicians.
National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship,1997-2000. Allowed two semesters without teaching while visiting U.C. San Diego (1997) and Harvard University (2000).
National Science Foundation Graduate Research Fellowship, 1994-1997.
Departmental Citation (Valedictorian), Dorothea Klumpke
Roberts Award, and Highest Honors
Department of Mathematics, University of California at Berkeley, May 1993.
and Cohomological Applications of the Rankin-Selberg Method
International Mathematics Research Notices, 1996, No. 1, pp. 15-26.
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
New York, Inc. (1999), pp. 317-327.
Non-vanishing of the Central Derivative of
L-functions , with
Tonghai Yang, Math.
Res. Letters, 7
(2000), pp. 263-278.
black hole entropy , with Gregory Moore, and Large
values of L'/L(1,-p),
Asian Journal of Mathematics, 4, No. 1, (March 2000 Kodaira volume), pp. 183-212. hep-th/9903267.
the existence and temperedness of cusp forms for SL(3,Z) ,
die reine und angewandte Mathematik, 533 (2001),
The highest-lowest zero and other applications
of positivity , Duke
Mathematical Journal, 112,
No. 1, pp. 83-116.
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,
zeta function and beyond, with Stephen Gelbart,
Amer. Math. Soc. 41 (2004),
Distributions and Analytic Continuation of Dirichlet Series, with Wilfried Schmid.
http://arxiv.org/abs/math/0403030, Journal of Functional Analysis, 214 (2004), pp. 155-220.
L-functions, and Voronoi Summation for GL(3), with Wilfried
Annals of Mathematics 164 (2006), pp. 423-488.
Curves of the Same Order Have the Same Difficulty of Discrete Log?,
David Jao and Ramarathnam
in Advances in Cryptology - ASIACRYPT 2005: 11th
International Conference on
the Theory and Application of Cryptology and Information Security,
Verlag Lecture Notes in
Computer Science, 3788
(2005), pp. 21-40.
Rankin-Selberg method for automorphic distributions, with Wilfried Schmid,
Theory and Automorphic
Forms., pp. 111-150,
Procedings of an
International Symposium at Seoul
National University, February 2005, Toshiyuki Kobayashi, Wilfried
Schmid, and Jae-Hyun
Yang, editors, Progress in
Mathematics 255, Birkhauser,
Pollard Rho Collisions, with Ramarathnam Venkatesan, "Procedings of
the 7th Algorithmic Number Theory Symposium"
Notes in Computer Science 4076
(2006), pp. 573-581.
A new word based
stream cipher using rapid mixing and revolving buffers,
Keller, Ilya Mironov, and Ramarathnam Venkatesan, in
"Topics in Cryptology -- Procedings
Lecture Notes in Computer
Science, 4377 (2007), pp. 1-19.
Non-degeneracy of Pollard rho collisions, with Ramarathnam Venkatesan, International Mathematics Research Notices, 2009, pp.1-10.
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.
Distinguishing attacks on stream ciphers based on arrays of > , with Nathan Keller, Information Processing Letters 110 (2010), pp. 129-132.
A method for computing general automorphic forms on general groups, Forum Mathematicum, 22 (2010), 1207-1211.
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, Advanced Lectures in Math, volume 18 (2010), 551-596.
series for higher-rank groups
and string theory amplitudes, with
Michael Green, Jorge Russo, and
Pierre Vanhove, Communications
Theory and Physics, Volume 4, No. 3, September 2010, pp.
Pairings of automorphic distributions, with Wilfried Schmid, Mathematische Annalen 353 (2012), 581-597.
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), 289-334.
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.
A p-adic integral for the reciprocal of L-functions, with Stephen Gelbart, Alexei Pantchichkine, and Freydoon Shahidi, to appear in Contemparary Mathematics, volume in memory of Ilya Piatetski-Shapiro.
The eigenvalue spacings of typical large matrices.
July 9, 2008