Faculty Positions Held
| Associate Professor
of
Mathematics, Rutgers University |
2004- |
| Associate Professor of Mathematics, Hebrew University | 2005-2006 |
| Assistant Professor of Mathematics, Rutgers University | 2001-2004 |
| Assistant Professor
of
Mathematics, Yale
University |
1997-2001 |
Visiting and
Postdoctoral Positions
| Visiting Professor,
Hebrew
University |
2005 |
| Consultant, Cryptography and Anti-Piracy Group, Microsoft Research | 2004- |
| Consultant, Theory Group, Microsoft Research | 2002 |
| NSF Postdoctoral Fellowship, Harvard University | 1999-2000 |
| NSF Postdoctoral Fellowship, UC San Diego | 1997 |
| Ph.D., Princeton
University, Advisor: Peter
Sarnak Dissertation: Cusp Forms on SL(3,Z)\SL(3,R)/SO(3,R) |
1997 |
| M.A., Princeton University | 1994 |
| A.B. University of California, Berkeley | 1993 |
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 " (R.O.M.E.)
program, through which Juniors pursue research under the direction of
a
faculty member.
http://www.yale.edu/rome
Princeton University, Fall 1996
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-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.
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.
http://www.math.rutgers.edu/~sdmiller/ima.pdf
Non-vanishing of
the Central Derivative of
Canonical Hecke L-functions , with Tonghai Yang, Math.
Res. Letters, 7 (2000), pp. 263-278.
http://www.math.rutgers.edu/~sdmiller/milleryang
Landau-Siegel
zeroes and black hole entropy , with Gregory
Moore, and Large
values of L'/L(1,-p), appendix.
Asian Journal of Mathematics, 4,
No. 1, (March 2000
Kodaira volume), pp. 183-212. hep-th/9903267.
http://xxx.lanl.gov/abs/hep-th/9903267
On the existence and
temperedness of cusp forms for
SL(3,Z) , Journal für die reine und
angewandte
Mathematik,
533 (2001), pp. 127–169.
http://www.math.rutgers.edu/~sdmiller/sl3
The highest-lowest
zero and other applications
of positivity , Duke Mathematical Journal,
112,
No. 1, pp. 83-116.
http://www.math.rutgers.edu/~sdmiller/highlow
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.
http://front.math.ucdavis.edu/math.NT/0304187
The Highly Oscillatory
Behavior of Automorphic Distributions for SL(2),
with Wilfried
Schmid.
http://arxiv.org/abs/math.NT/0402382,
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.
http://arxiv.org/abs/math/0408100
Cancellation in additively
twisted sums on
GL(n),
American
Journal of
Mathematics, 128 (2006), pp. 699-729.
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.
http://front.math.ucdavis.edu/math.NT/0411378
The Rankin-Selberg method
for automorphic
distributions, with Wilfried Schmid, in
“Representation
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, Boston, 2008
http://front.math.ucdavis.edu/math.NT/0605783
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.
http://arxiv.org/pdf/math.NT/0603727
MV3: A new
word based
stream cipher using
rapid mixing and revolving buffers, with Nathan Keller, Ilya
Mironov, and Ramarathnam Venkatesan, to appear in Topics
in Cryptology -- Procedings of CT-RSA 2007,
Springer-Verlag Lecture Notes in Computer Science, 4377
(2007),
pp.
1-19.
http://www.arxiv.org/abs/cs.CR/0610048
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.
Non-abelian analogs of lattice rounding, with Evgeni Begelfor and Ramarathnam Venkatesan.
Pairings of automorphic distributions, with Wifried Schmid.
The archimedean theory of the Exterior Square L-functions over Q, with Wilfried Schmid.
Expander graphs based on GRH and an application to elliptic curve cryptography, with David Jao and Ramarathnam Venkatesan.
Summary of the Langlands-Shahidi methodA simpler way
to show zeta(3) is
irrational.
http://www.math.rutgers.edu/~sdmiller/simplerzeta3.pdf
The eigenvalue spacings of typical large matrices.