Greg Kuperberg

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Gregory John "Greg" Kuperberg (born July 4, 1967 in Danzig , Poland ) is an American mathematician.

Greg Kuperberg, Berkeley 1991

He is the son of mathematicians Krystyna Kuperberg and Włodzimierz Kuperberg , professor at Auburn University , and came with his parents to Sweden in 1969 and to the USA in Auburn (Alabama) in 1972 . In 1982/88 he was a games programmer for the Orion company (including Paratrooper ). As early as 1979 he attended math classes at Auburn University, where his parents taught, and Oklahoma State University , where his mother taught. From 1983 he studied at Harvard University with a bachelor's degree magna cum laude in 1987 and in 1991 he received his doctorate from the University of California, Berkeley , with Andrew Casson (Invariants of Links and 3-Manifolds via Multilinear Algebra and Hopf Algebras). He was then Adjunct Assistant Professor at Berkeley, from 1992 to 1995 Dickson Instructor at the University of Chicago and from 1995/96 Gibbs Assistant Professor at Yale University . In 1996 he became Assistant Professor, 1997 Associate Professor and 2001 Professor at the University of California, Davis .

He deals with geometric topology, quantum algebras, combinatorics, convex geometry, but also quantum information theory and numerical mathematics. In 2002 he gave an alternative proof of the Alternating Sign Matrix conjecture, which was first proven by Doron Zeilberger . In 2011, assuming the generalized Riemann hypothesis, he proved that the problem of whether a knot diagram represents the trivial knot is NP-hard. With his mother Krystyna Kuperberg, he published generalized counterexamples to the Seifert conjecture (his mother found the first smooth counterexample in 1993).

In 2004/05 he was visiting professor at Cornell University and in 2010/11 at Grenoble University .

In 2012 he became a Fellow of the American Mathematical Society . He was twice a Sloan Research Fellow and received the 1990 Morrey Prize in Berkeley.

He is married to solid-state physicist Rena Ziewe , who is also a professor at the University of California, Davis.

Fonts

  • with Noam Elkies , Michael Larsen , James Propp : Alternating-sign matrices and domino tilings. IJ Algebraic Combin. 1 (1992) no. 2, 111-132. II. Ibid. No. 3, 219-234.
  • The quantum G 2 link invariant , Internat. J. Math., Vol. 5, 1994, pp. 61-85.
  • Another proof of the alternating-sign matrix conjecture. Boarding school Math. Res. Notices 1996, no. 3, 139-150.
  • Non-involutory Hopf algebras and 3-manifold invariants , Duke Math. J., Volume 84, 1996, pp. 83-129.
  • Spiders for rank 2 Lie algebras. Comm. Math. Phys. 180 (1996) no. 1, 109-151.
  • with Krystyna Kuperberg Generalized counterexamples to the Seifert conjecture , Annals of Mathematics, Volume 144, 1996, pp. 547-576.
  • Symmetry classes of alternating-sign matrices under one roof , Annals of Mathematics, Volume 156, 2002, pp. 835-866.
  • A subexponential-time quantum algorithm for the dihedral hidden subgroup problem , SIAM J. Comput. 35 (2005), no. 1, 170-188. Arxiv 2003
  • Numerical cubature using error-correcting codes , SIAM J. Numer. Anal. 44 (2006), no. 3, 897-907. Arxiv 2004
  • From the Mahler conjecture to Gauss linking integrals. Geom. Funct. Anal. 18 (2008), no. 3, 870-892.
  • Knottedness is in NP, modulo GRH. Adv. Math. 256 (2014), 493-506. Arxiv 2011

Web links

Individual evidence

  1. ↑ Greg Kuperberg in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Kuperberg, Greg
ALTERNATIVE NAMES Kuperberg, Gregory John
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 4th July 1967
PLACE OF BIRTH Danzig