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Greg Kuperberg

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Name  Greg Kuperberg
Role  Mathematician
Doctoral advisor  Andrew Casson

Greg Kuperberg httpswwwmathucdavisedugregimagesportraitjpg
Born  July 4, 1967 (age 48) (1967-07-04)
Institutions  Yale University University of California, Davis
Alma mater  Harvard University University of California, Berkeley
Books  A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations
Education  Harvard University, University of California, Berkeley

The computational complexity of geometric topology problems greg kuperberg

Greg Kuperberg (born July 4, 1967) is a Polish-born American mathematician known for his contributions to geometric topology, quantum algebra, and combinatorics. Kuperberg is a professor of mathematics at the University of California, Davis. He also maintains the Front for the arXiv. Kuperberg used to moderate sci.math.research from time to time.


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Kuperberg is the son of two mathematicians, Krystyna Kuperberg and Włodzimierz Kuperberg. He was born in Poland in 1967, but his family emigrated to Sweden in 1969 due to the 1968 Polish political crisis. In 1972, Kuperberg's family moved to the United States, eventually settling in Auburn, Alabama. Kuperberg wrote three computer games for the IBM Personal Computer in 1982 and 1983: Paratrooper, J-Bird and PC-Man. He enrolled at Harvard University in 1983 and received a bachelor's degree in 1987. He was ranked Top 10 in the 1986 William Lowell Putnam Mathematical Competition

Upon leaving Harvard, Kuperberg studied at the University of California, Berkeley under Andrew Casson, receiving a Ph.D. in geometric topology and quantum algebra in 1991. From 1991 until 1992, Kuperberg was a NSF postdoctoral fellow and adjunct assistant professor at Berkeley, and from 1992 to 1995 held a Dickson Instructorship at the University of Chicago. From 1995 through 1996, Kuperberg was Gibbs Assistant Professor at Yale University after which he joined the mathematics faculty at the University of California, Davis. In 2012 he became a fellow of the American Mathematical Society.

Kuperberg is married to physicist Rena Zieve, who is a professor of physics at UC Davis.

Selected publications

Kuperberg has over fifty publications, including two in the Annals of Mathematics.

  • The quantum G2 link invariant, Internat. J. Math. 5 (1994), no. 1, 61-85.
  • Non-involutory Hopf algebras and 3-manifold invariants, Duke Math. J. 84 (1996), 83-129.
  • Generalized counterexamples to the Seifert conjecture, Ann. of Math. (2) 144 (1996), no. 3, 547-576.
  • Symmetry classes of alternating-sign matrices under one roof, Ann. of Math. (2) 156 (2002), no. 3, 835-866.
  • A subexponential-time quantum algorithm for the dihedral hidden subgroup problem, arXiv:0302112 (quant-ph).
  • Numerical cubature using error-correcting codes, arXiv:0402047 (math.NA).
  • References

    Greg Kuperberg Wikipedia