Igor Rivin

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Igor Rivin (* 1961 in Moscow ) is a Canadian mathematician .

Rivin is the son of mechanical engineering professor at Wayne State University , Eugene Rivin . As a student, he won first prize at the Canadian Mathematical Olympiad. He graduated from the University of Toronto with a bachelor's degree in 1981 and received his doctorate from Princeton University under William Thurston in 1986 ( On geometry of convex polyhedra in hyperbolic 3-space ). He then worked on the QLISP system in the computer science faculty at Stanford University and at Wolfram Research at Mathematica . He also dealt with financial mathematics. In 1992 he returned to university mathematics research and was onIHES , the Institute for Advanced Study , the University of Melbourne, the University of Warwick and at Caltech . In 1999 he became a professor at Temple University . In 2015 Rivin took over the 18-year orphan Regius Professorship of Mathematics at the University of St Andrews . He was succeeded in this position in 2018 by Kenneth J. Falconer .

He was visiting scholar at various universities, including 2011 at the Berlin Mathematical School of the Berlin universities.

Starting with his dissertation, he characterized convex polyhedra in three-dimensional hyperbolic space. He dealt with various areas of applied mathematics, e.g. B. the possible structures of zeolites , differential geometry and dynamic systems.

In 1998 he received the Whitehead Prize . He had an EPSRC Advanced Fellowship in the UK. He is a fellow of the American Mathematical Society .

Fonts

  • with CD Hodgson A characterization of compact convex polyhedra in hyperbolic 3-space , Inventiones Mathematicae, Volume 111, 1993, p. 77.
  • Euclidean structures on simplicial surfaces and hyperbolic volume. Ann. of Math. (2) 139 (1994) no. 3, 553-580.
  • A characterization of ideal polyhedra in hyperbolic 3-space. Ann. of Math. (2) 143 (1996) no. 1, 51-70.
  • Combinatorial optimization in geometry , Advances in Applied Mathematics, Volume 31, 2003, pp. 242-201
  • Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms. Duke Math. J. 142 (2008), no. 2, 353-379.
  • Asymptotics of convex sets in Euclidean and hyperbolic spaces , Advances in Mathematics, Volume 220, 2009, p. 1297
  • Zariski density and genericity. Int. Math. Res. Not. IMRN 2010, no. 19, 3649–3657.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ^ New Regius and Gregory Professors appointed , University of St Andrews press release, May 7, 2015; accessed on November 27, 2015.
  3. ^ Brian Donnelly: Queen appoints St Andrews professor as Regius Chair in Mathematics. In: The Herald. HeraldScotland.com, February 20, 2018, accessed March 15, 2018 .