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), 3: 908-935, arXiv:math/0405366,
MR2231849.
[3] "A subexponential-time quantum algorithm for the dihedral hidden subgroup problem," SIAM J. Comput., 35 (1): 170-188, 2005.arXiv:quant-ph/0302112, MR2178804.
[4] "Symmetry classes of alternating-sign matrices under one roof," Ann. of Math. (2) 156 (3): 835-866, 2002. arXiv:math/0008184,
MR1954236.
[5] "Non-involutory Hopf algebras and 3-manifold invariants," Duke Math. J., 84: 83-129, 1996
arXiv:q-alg/9712047,
MR1394749.
Last updated: 2008/06/09
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