Greg Kuperberg
Home page:
http://www.math.ucdavis.edu/~greg/
Position: Professor
Year joining UC Davis: 1996
Degree: Ph.D., 1991, University of California, Berkeley
Refereed publications: Via
Math Reviews
Recent publications: Via
math arXiv
Research
I am interested in various areas of research, including geometric topology,
quantum algebra, combinatorics, convex geometry, and quantum information theory
and computation. A main theme of my work is to study "quantum", meaning
non-commutative, generalizations of traditional mathematical objects.
For example, quantum algorithms, which could run on quantum computers
if they existed, exploit the computational power of non-commutative
probability.
Honors and Awards
NSF Postdoctoral Fellowship, 1991-1994
Sloan Foundation Research Fellowship, 1998
Students
Dongseok Kim (2003),
Sonya Berg,
Chris Bumgardner,
Rohit Thomas
Selected Publications
[1]
From the Mahler conjecture to Gauss linking integrals,
to appear in Geom. Funct. Anal.,
arXiv:math/0610904.
[2]
Numerical cubature from Archimedes' hat-box theorem,
SIAM J. Numer. Anal. 44 (2006), no. 3, 908-935,
arXiv:math/0405366,
MR2231849.
[3]
A subexponential-time quantum algorithm for the dihedral hidden subgroup
problem,
SIAM J. Comput. 35 (2005), no. 1, 170-188,
arXiv:quant-ph/0302112,
MR2178804.
[4]
Symmetry classes of alternating-sign matrices under one roof,
Ann. of Math. (2) 156 (2002), no. 3, 835-866,
arXiv:math/0008184,
MR1954236.
[5]
Non-involutory Hopf algebras and 3-manifold invariants,
Duke Math. J. 84 (1996), 83-129,
arXiv:q-alg/9712047,
MR1394749.
Last updated: 2008/06/09
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