http://www.math.rutgers.edu/~sdmiller
miller@math.rutgers.edu
Born 1974, New York, USA
Faculty Positions Held
Professor of Mathematics, Rutgers
University |
2012- |
Graduate Vice-Chair of Mathematics, Rutgers
University |
2014-2016 |
Associate Professor of Mathematics, Rutgers
University |
2004-2012 |
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 |
2004-2008 |
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 |
1997 |
M.A.,
Princeton University |
1994 |
A.B.
University of California, Berkeley |
1993 |
Hebrew
University, 2005-6
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 "
(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
Fellow of the American Mathematical Society, 2018
National Science Foundation grant in Cryptography, CNS-1526333
National Science Foundation grant in Number Theory, DMS-1500562, 2015-2018
PI on Rutgers University GAANN grant (2014-2016)
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.
Spectral
and Cohomological Applications of the Rankin-Selberg Method
,
International Mathematics Research Notices, 1996, No. 1, pp. 15-26.
http://www.hindawi.co.uk/journals/imrn/volume-1996/S1073792896000025.pdf
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
Riemann's
zeta function and beyond, with Stephen Gelbart,
Bull.
Amer. Math. Soc. 41 (2004),
59-112.
http://www.ams.org/bull/2004-41-01/S0273-0979-03-00995-9/home.html
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.
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, in
"Topics in Cryptology -- Procedings
of CT-RSA
2007", Springer-Verlag
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
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.
Eisenstein
series for higher-rank groups
and string theory amplitudes, with
Michael Green, Jorge Russo, and
Pierre Vanhove, Communications
in Number
Theory and Physics, Volume 4, No. 3, September 2010, pp.
551-596.
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.
The Archimedean theory of the exterior square L-functions over Q, with Wilfried Schmid, Journal of the American Mathematical Society 25 (2012), 465-506.
On the rapid decay of cuspidal automorphic forms, with Wilfried Schmid, Advances in Mathematics 231 (2012), 940-964.
Fourier coefficients of automorphic forms, character variety orbits,
and small representations
, with Siddhartha Sahi, Journal of Number Theory
132 (2012),
3070-3108.
Residual automorphic forms and spherical unitary representations of
exceptional groups, Annals 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 Contemparary
Mathematics, volume in memory of Ilya Piatetski-Shapiro.
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. To appear in the Journal of Number Theory.
Entirety of cuspidal Eisenstein series on loop groups, with Howard
Garland and Manish Patnaik. To appear in the American Journal of
Mathematics.
SL(2,Z)-invariance and D-instanton contributions to the D6R4
interaction, with Michael B. Green and Pierre Vanhove,
Communications in Number Theory and Physics 9 (2015), pp.307-344.
Non-abelian analogs of lattice rounding, with Evgeni Begelfor and Ramarathnam Venkatesan (26 pages). To appear in Groups Complexity Cryptology.
Summary of
the
Langlands-Shahidi method
http://www.arxiv.org/abs/math.NT/0204148
A
simpler way to show zeta(3) is irrational.
http://www.math.rutgers.edu/~sdmiller/simplerzeta3.pdf
The eigenvalue spacings of typical large matrices.
July
9, 2008