Stephen
D. Miller
Associate professor of
mathematics, Rutgers
University
|
Research
interests
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Department of Mathematics
Hill Center-Busch Campus
Rutgers, The State
University
of New Jersey
110 Frelinghuysen Rd
Piscataway, NJ
08854-8019 |
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Some recent items:
What's
this background image?
Residual
automorphic forms and spherical unitary representations
of exceptional groups
.
Click here for
the programs and data files.
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.
Fourier coefficients of automorphic forms,
character variety orbits, and small
representations, with Siddhartha
Sahi.
The archimedean theory
of the Exterior Square L-functions over Q,
with Wilfried Schmid, to appear in Journal
of the American Mathematical Society.,
Adelization
of automorphic distributions and mirabolic Eisenstein series,
with Wilfried Schmid, to appear in Contemporary
Mathematics, volume
in honor of Gregg Zuckerman's 60th birthday.
Pairings of
automorphic distributions, with Wilfried Schmid, to appear in
Mathematische Annalen.
On the rapid
decay of cuspidal automorphic forms, with Wilfried Schmid.
Eisenstein series for
higher-rank groups and string theory amplitudes,
with Michael
Green, Jorge Russo, and Pierre
Vanhove, Communcations in Number
Theory and Physics 4 (2010), 551-596.
Non-degeneracy of Pollard Rho
Collisions, with Ramarathnam Venkatesan,
International
Mathematics Research Notices.
A method for computing general
automorphic forms on general groups, Forum
Mathematicum.
Conference on Analytic
Number Theory and Higher Rank Groups, NYU, May 19-23, 2008.
Power point for lectures
1 and 3,
scanned notes for lecture
2.
(Click here
for older powerpoint format.)
Non-abelian analogs of lattice rounding,
with Evgeni Begelfor and Ramarathnam Venkatesan, preprint 2007.
MV3: A new word based stream
cipher using
rapid mixing and revolving buffers, with Nathan
Keller, Ilya
Mironov, and Ramarathnam Venkatesan, Topics
in Cryptology -- CT-RSA 2007.
Spectral
Analysis of
Pollard Rho Collisions, with
Ramarathnam Venkatesan, ANTS 2006.
The
Rankin-Selberg method for automorphic
distributions, with Wilfried Schmid, in .Representation
Theory and Automorphic Forms, Birkhauser.
Slides from the Technion conference talk (12/20/2005) on
"Applications
of automorphic distributions to analytic number theory": powerpoint or
html.
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.
Related Powerpoint
presentations (can be
viewed with a browser, e.g. Internet Explorer):
Chemistry
and Graph
Theory slides
(10/14/2004)
Slides
from a general talk (click
here for the
powerpoint file).
Steve
Gelbart's amazing family videos
of Einstein, Dirac, Weyl, Selberg,
Erdos, and Godel at the Institute for Advanced Study, Princeton,
1947:
