Stephen
D.
Miller
Moise and Chella Safra Professor of Mathematics and University Professor
stephen.miller@yu.edu
Ph.D., Princeton University, 1997
M.A., Princeton University, 1994
A.B., University of California at Berkeley, 1993
Fellow of the American Mathematical Society, 2018
Alfred P. Sloan Foundation Fellow, 2003-2005
Newer preprints:
Stochastic global optimization of continuous functions via random walks on Grassmannians, with Kartik Gupta, Pradeep Ravikumar, Ramarathnam Venkatesan.
The D6R4 interaction as a Poincare series, and a related shifted convolution sum, with Kim Klinger-Logan and Danylo Radchenko.
Selected older publications
Sphere packing and energy minimization:
- Universal optimality of the E8 and Leech lattices and interpolation formulas, with Henry Cohn, Abhinav Kumar, Danylo Radchenko, and Maryna Viazovska
- The sphere packing problem in dimension 24, with Henry Cohn, Abhinav Kumar, Danylo Radchenko, and Maryna Viazovska
Unitary representations:
- On Arthur's unitarity conjecture for split groups, with Joseph Hundley
- Residual automorphic forms and spherical unitary representations of exceptional groups
- 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.
Automorphic forms:
- The archimedean theory of the Exterior Square L-functions over Q, with Wilfried Schmid
- Automorphic Distributions, L-functions, and Voronoi Summation for GL(3), with Wilfried Schmid
stephen.miller@yu.edu