Ron Fintushel

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Ronald "Ron" Fintushel (* 1946 ) is an American mathematician who deals with low-dimensional geometric topology (especially of 4- manifolds ) and the mathematics of gauge field theories .

Fintushel studied mathematics at Columbia University with a bachelor's degree in 1967 and at the University of Illinois , where he received his master's degree in 1969, and received his doctorate in 1975 under Louis McAuley at the State University of New York in Binghamton ( Orbit maps of local -actions on manifolds of dimension less than five ). He was a professor at Tulane University and is a professor at Michigan State University .

His field of work is geometric topology in particular of 4-manifolds (including the calculation of Donaldson invariants) with connections to gauge field theories, knot theory and symplectic geometry. He works closely with Ronald J. Stern .

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Construction of smooth 4-manifolds with Ronald J. Stern). In 1997 he received the Distinguished Faculty Award from Michigan State University.

He is a fellow of the American Mathematical Society . Fintushel is editor of Geometry and Topology and the Michigan Mathematical Journal .

Fonts

  • with star: Constructing lens spaces by surgery on knots , Mathematische Zeitschrift, Volume 175, 1980, pp. 33-51
  • with star: An exotic free involution of , Annals of Mathematics, Volume 113, 1981, pp. 357-3365
  • with star: Pseudofree orbifolds , Annals of Mathematics, Volume 122, 1985, pp. 335-364
  • with Stern: Instanton homology of Seifert fibred homology three spheres , Proceedings of the London Mathematical Society, Volume 61, 1990, pp. 109-137
  • mit Stern: Immersed spheres in 4-manifolds and the immersed Thom conjecture , Turkish Journal of Mathematics, Volume 19, 1995, pp. 145-157
  • starred: Donaldson invariants of 4-manifolds with simple type , J. Diff. Geom., Vol. 42, 1995, pp. 577-633
  • with Stern: The blowup formula for Donaldson invariants , Annals of Mathematics, Volume 143, 1996, pp. 529-546
  • with star: Rational blowdowns of smooth 4-manifolds , Journal of Differential Geometry, Volume 46, 1997, pp. 181-235
  • with star: Surfaces in 4-manifolds , Math. Res. Letters, Volume 4, 1997, pp. 907-914
  • with star: Knots, links, and 4-manifolds , Inventiones mathematicae, Volume 134, 1998, pp. 363-400, Arxiv
  • with a star: Constructions of smooth 4-manifolds. Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Doc. Math. 1998, Extra Vol. II, 443-452
  • with star: Symplectic surfaces in a fixed homology class , J. Diff. Geom., Vol. 52, 2000, pp. 203-222
  • with star: Families of simply connected 4-manifolds with the same Seiberg-Witten invariants , Topology, Volume 43, 2004, pp. 1449-1467
  • Starred : Invariants for Lagrangian tori , Geom. Topol., Volume 8, 2004, pp. 947-968 * Starred: Tori in symplectic 4-manifolds, Geometry and Topology Monographs, Volume 7, 2004, Proceedings of the Casson Fest , Pp. 311-333
  • mit Stern, BD Park: Reverse engineering small 4-manifolds , Algebraic & Geometric Topology, Volume 7, 2007, pp. 2103-2116
  • Starred: Six Lectures on Four 4-manifolds , Low dimensional topology, IAS / Park City Math. Ser. 15, Amer. Math. Soc., Providence, RI, 2009, pp. 265-315

Web links

References and comments

  1. ↑ Ron Fintushel in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Fintushel, Ron
ALTERNATIVE NAMES Fintushel, Ronald (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1946