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 ViceChair of Mathematics, Rutgers
University 
20142016 
Associate Professor of Mathematics, Rutgers
University 
20042012 
Associate
Professor of Mathematics, Hebrew University 
20052006 
Assistant
Professor of Mathematics, Rutgers University 
20012004

Assistant
Professor of Mathematics, Yale University 
19972001 
Visiting and Postdoctoral Positions
Visiting
Professor, Hebrew University 
2005 
Consultant,
Cryptography and AntiPiracy Group, Microsoft
Research 
20042008 
Consultant, Theory Group, Microsoft
Research 
2002 
NSF
Postdoctoral Fellowship, Harvard University 
19992000 
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, 20056
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, 19972001
Courses included: Real Analysis, Senior Seminar on Modular Forms,
Multivariable Calculus (head of course).
Graduate Courses in Number Theory and Automorphic
Forms.
Cofounder 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, CNS1526333
National Science Foundation grant in Number Theory, DMS1500562, 20152018
PI on Rutgers University GAANN grant (20142016)
National Science Foundation grant in Number Theory, DMS0901594, 20092012.
National Science Foundation grant in Number Theory, DMS0601009, 20062009.
National Science Foundation grant in Number Theory, DMS0301172, 20032006.
Alfred P. Sloan Fellow, 20032006.
National Science Foundation grant in Number Theory, DMS0122799, 20012003.
National Security Agency Young Investigators Grant for Number Theory, 19992000.
Yale University Hellman Fellowship for junior faculty, 19982001.
Initial, 3year funding for the "Research Opportunities in Mathematics and Economics" (R.O.M.E.) program, Yale College Dean's Office, 19982001.
National Science Foundation Travel Grant for the 1998 International Congress of Mathematicians.
National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship,19972000. Allowed two semesters without teaching while visiting U.C. San Diego (1997) and Harvard University (2000).
National Science Foundation Graduate Research Fellowship, 19941997.
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 RankinSelberg Method
,
International Mathematics Research Notices, 1996, No. 1, pp. 1526.
http://www.hindawi.co.uk/journals/imrn/volume1996/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.), SpringerVerlag
New York, Inc. (1999), pp. 317327.
http://www.math.rutgers.edu/~sdmiller/ima.pdf
Nonvanishing of the Central Derivative of
Canonical Hecke
Lfunctions , with
Tonghai Yang, Math.
Res. Letters, 7
(2000), pp. 263278.
http://www.math.rutgers.edu/~sdmiller/milleryang
LandauSiegel
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. 183212. hepth/9903267.
http://xxx.lanl.gov/abs/hepth/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 highestlowest zero and other applications
of positivity , Duke
Mathematical Journal, 112,
No. 1, pp. 83116.
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. 419440.
http://front.math.ucdavis.edu/math.NT/0304187
Riemann's
zeta function and beyond, with Stephen Gelbart,
Bull.
Amer. Math. Soc. 41 (2004),
59112.
http://www.ams.org/bull/20044101/S0273097903009959/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.
155220.
Automorphic
Distributions,
Lfunctions, and Voronoi Summation for GL(3), with Wilfried
Schmid,
Annals of Mathematics 164
(2006), pp. 423488.
http://arxiv.org/abs/math/0408100
Cancellation
in additively twisted sums on GL(n),
American Journal of Mathematics, 128
(2006), pp. 699729.
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.
http://front.math.ucdavis.edu/math.NT/0411378
The
RankinSelberg method for automorphic distributions, with Wilfried Schmid,
in .Representation
Theory and Automorphic
Forms., pp. 111150,
Procedings of an
International Symposium at Seoul
National University, February 2005, Toshiyuki Kobayashi, Wilfried
Schmid, and JaeHyun
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 7^{th} Algorithmic Number Theory Symposium"
(Berlin),
SpringerVerlag Lecture
Notes in Computer Science 4076
(2006), pp. 573581.
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 CTRSA
2007", SpringerVerlag
Lecture Notes in Computer
Science, 4377 (2007), pp. 119.
Nondegeneracy of Pollard rho collisions, with Ramarathnam Venkatesan, International Mathematics Research Notices, 2009, pp.110.
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.
Distinguishing
attacks on stream ciphers
based on arrays of
A method for computing general automorphic forms on general groups, Forum Mathematicum, 22 (2010), 12071211.
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, Advanced Lectures in Math, volume 18 (2010), 551596.
Eisenstein
series for higherrank 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.
551596.
Pairings
of automorphic
distributions, with Wilfried Schmid, Mathematische Annalen 353 (2012),
581597.
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), 289334.
The Archimedean theory of the exterior square Lfunctions over Q, with Wilfried Schmid, Journal of the American Mathematical Society 25 (2012), 465506.
On the rapid decay of cuspidal automorphic forms, with Wilfried Schmid, Advances in Mathematics 231 (2012), 940964.
Fourier coefficients of automorphic forms, character variety orbits,
and small representations
, with Siddhartha Sahi, Journal of Number Theory
132 (2012),
30703108.
Residual automorphic forms and spherical unitary representations of
exceptional groups, Annals of Mathematics,
to appear.
A padic integral
for the reciprocal of Lfunctions, with Stephen
Gelbart, Alexei Pantchichkine, and Freydoon Shahidi, to appear
in Contemparary
Mathematics, volume in memory of Ilya PiatetskiShapiro.
Small representations, string instantons, and Fourier modes of
Eisenstein series, with Michael Green and Pierre Vanhove; includes
appendix "Special unipotent representationsâ€ 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 Dinstanton contributions to the D6R4
interaction, with Michael B. Green and Pierre Vanhove,
Communications in Number Theory and Physics 9 (2015), pp.307344.
Nonabelian analogs of lattice rounding, with Evgeni Begelfor and Ramarathnam Venkatesan (26 pages). To appear in Groups Complexity Cryptology.
Summary of
the
LanglandsShahidi 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