I do research in various areas of mathematics, including quantum algebra, quantum probability and computation, geometric topology, combinatorics, and convex geometry. The word "quantum" in the sense of my research means non-commutative generalizations of mathematical objects that are usually described by commutative algebras. Quantum probability is the study of non-commutative algebras and random variables, quantum groups are like Lie groups but with non-commuting coordinates, etc. I also have non-quantum results and interests in geometry and combinatorics, some of them inspired by quantum mathematics.
 G. Kuperberg, "Knottedness is in NP, modulo GRH," preprint, 2011. arXiv:1112.0845,
 G. Kuperberg, "How hard it it to approximate the Jones polynomial," to appear in Theory Comput, 84: 83-129, 1996. arXiv:0908.0512.
Honors and Awards
NSF Postdoctoral Fellowship, 1991-1994
Sloan Foundation Research Fellowship, 1998
Dongseok Kim (2003), Chris Bumgardner (2010), Sonya Berg (2012), Rohit Thomas, Stephen Lu.
Last updated: 2012-04-14