Stephen D. Miller

    Associate professor of mathematics, Rutgers University 

Research interests

Stephen Miller picture

Department of Mathematics
Hill Center-Busch Campus
Rutgers, The State University of New Jersey
110 Frelinghuysen Rd
Piscataway, NJ 08854-8019

   
 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:


Locations of Site 
Visitors