Stephen John Bigelow is an Australian mathematician and professor of mathematics at the University of California, Santa Barbara.[1] He is known for his proof that braid groups are linear, concurrently with and independently of another proof by Daan Krammer.[2]
Bigelow earned bachelor's and master's degrees in 1992 and 1994 from the University of Melbourne.[1] He completed his PhD in 2000 from the University of California, Berkeley under the joint supervision of Robion Kirby and Andrew Casson.[3] He returned to Melbourne for two years as a research fellow before joining the UCSB faculty in 2002.[1]
Bigelow was an invited speaker at the International Congress of Mathematicians in 2002, speaking on representations of braid groups.[4] He was a Sloan Research Fellow for 2002–2006.[1] In 2012 he was designated as one of the inaugural fellows of the American Mathematical Society.[5]
^Bigelow, Stephen J. (2001), "Braid groups are linear", Journal of the American Mathematical Society, 14 (2): 471–486, doi:10.1090/S0894-0347-00-00361-1, MR 1815219. Featured review in MathSciNet by Darryl McCullough.
^Stephen Bigelow at the Mathematics Genealogy Project
^ICM Plenary and Invited Speakers since 1897, International Mathematical Union, retrieved 2015-11-23.
^List of Fellows of the American Mathematical Society, retrieved 2015-11-23.
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properties). StephenBigelow combined computer techniques and the Long–Paton theorem to show that the Burau representation is not faithful for n ≥ 5. Bigelow moreover...
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