Greg Kuperberg

{{short description|Polish American mathematician}}

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|name = Greg Kuperberg

|image = Greg Kuperberg.jpg

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|birth_date = {{birth date and age|1967|7|4}}

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|workplaces = Yale University
UCD

|alma_mater = Harvard University
University of California, Berkeley

|thesis_title = Invariants of Links and 3-Manifolds via Multilinear Algebra and Hopf Algebras

|thesis_year = 1991

|doctoral_advisor = Andrew Casson

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|awards = Fellow of the American Mathematical Society (2012)

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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.Greg Kuperberg, [http://www.math.ucdavis.edu/research/profiles/greg Greg Kuperberg], retrieved March 8, 2008.

Biography

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 (which were published by Orion Software): Paratrooper, PC-Man and J-Bird. (video game clones of Sabotage, Pac-Man and Q*bert, respectively){{cite book | url=https://books.google.com/books?id=wZnpAgAAQBAJ&pg=PA93 | title=Vintage Game Consoles: An Inside Look at Apple, Atari, Commodore, Nintendo, and the Greatest Gaming Platforms of All Time | publisher=CRC Press | author=Loguidice, Bill | year=2014 | pages=93 | isbn=9781135006518}}

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.J. J. O'Connor and E. F. Robertson, [http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Kuperberg.html Krystyna M Trybulec Kuperberg], retrieved March 8, 2008; retrieved March 8, 2008; [http://members.chello.at/theodor.lauppert/games/ptrooper.htm Paratrooper (DOS, 1982)] {{webarchive|url=https://web.archive.org/web/20071223142620/http://members.chello.at/theodor.lauppert/games/ptrooper.htm |date=2007-12-23 }}, retrieved March 8, 2008.; Theory of Computing, [http://www.theoryofcomputing.org/articles/main/v003/a007/about.html About the Authors], retrieved March 8, 2008. 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.Theory of Computing, [http://www.theoryofcomputing.org/articles/main/v003/a007/about.html About the Authors]; "[http://www.math.ucdavis.edu/news/archive/1996 Three Outstanding Mathematicians Join the Department] {{Webarchive|url=https://web.archive.org/web/20080807171622/http://www.math.ucdavis.edu/news/archive/1996 |date=2008-08-07 }}", 1996, retrieved March 8, 2008. In 2012 he became a fellow of the American Mathematical Society.[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-01-27.

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.

  • {{cite journal

| title=The quantum G2 link invariant

| journal=International Journal of Mathematics

| volume=5

| date=1994

| issue=1

| pages=61–85

| doi=10.1142/S0129167X94000048| last1=Kuperberg

| first1=Greg

| arxiv=math/9201302

}}

  • {{cite journal

| title=Non-involutory Hopf algebras and 3-manifold invariants

| journal=Duke Mathematical Journal

| volume=84

| date=1996

| pages=83–129

| doi=10.1215/S0012-7094-96-08403-3| last1=Kuperberg

| first1=Greg

| arxiv=q-alg/9712047

| s2cid=15086645

}}

| title=Generalized counterexamples to the Seifert conjecture

| journal=Annals of Mathematics

| series=Second Series

| volume=144

| date=1996

| issue=3

| pages=547–576

| doi=10.2307/2118536

| jstor=2118536| last1=Kuperberg

| first1=Greg

| last2=Kuperberg

| first2=Krystyna

| arxiv=math/9802040

| s2cid=16309410

}}

  • {{cite journal

| title=Symmetry classes of alternating-sign matrices under one roof

| journal=Annals of Mathematics

| series=Second Series

| volume=156

| date=2002

| issue=3

| pages=835–866

| doi=10.2307/3597283

| jstor=3597283| last1=Kuperberg

| first1=Greg

| arxiv=math/0008184

| s2cid=7965653

}}

  • {{cite journal

| title=A subexponential-time quantum algorithm for the dihedral hidden subgroup problem

| arxiv=quant-ph/0302112

| journal=SIAM Journal on Computing

| volume=35

| issue=1

| pages=170–188

| date=2005

| doi=10.1137/S0097539703436345| last1=Kuperberg

| first1=Greg

| s2cid=15965140

}}

  • {{cite journal

| title=Numerical cubature using error-correcting codes

| arxiv=math/0402047

| journal=SIAM Journal on Numerical Analysis

| volume=44

| issue=3

| pages=897–907

| date=2006

| doi=10.1137/040615572| last1=Kuperberg

| first1=Greg

| s2cid=18689951

}}

  • {{citation

| title=Knottedness is in NP, modulo GRH

| journal=Advances in Mathematics

| volume=256

| date=1 May 2014

| pages=493–506

| doi=10.1016/j.aim.2014.01.007 | doi-access=free| last1=Kuperberg

| first1=Greg

}}

References

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