Ronald J. Stern

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Peter Teichner (left), Ronald J. Stern (center), Denis Auroux (right), Oberwolfach 2006

Ronald John Stern (born January 20, 1947 in Chicago ) is an American mathematician who deals with low-dimensional geometric topology (especially of 4- manifolds ) and the mathematics of gauge field theories .

Stern studied at Knox College with a bachelor's degree in 1968 and at the University of California, Los Angeles , where he received his master's degree in 1970 and received his doctorate in 1973 with Robert Duncan Edwards ( On topological vector fields ). In 1973/74 he was at the Institute for Advanced Study . In 1974 he became an instructor, 1976 assistant professor, 1979 associate professor and then professor at the University of Utah . From 1989 he was a professor at the University of California, Irvine .

His field of work, the geometric topology of 4-manifolds, was the subject of rapid development from the 1980s, in particular through the development of connections to gauge field theories ( Yang Mills theory , brought to the center of research by the field medal winner Simon Donaldson ) and to string theory in the Physics and the development of knot theory and symplectic geometry . He works closely with Ron Fintushel . Stern and Fintushel, for example, contributed to the computation of Donaldson invariants.

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Construction of smooth 4-manifolds with Ronald Fintushel).

He is a member of the American Association for the Advancement of Science and a Fellow of the American Mathematical Society , of whose Board of Trustees he was from 2009 to 2014 (2012/13 as Chairman).

He is the editor of Geometry and Topology .

He has been married since 1985 and has two daughters.

Fonts

  • with Fintushel: Constructing lens spaces by surgery on knots, Mathematische Zeitschrift, Volume 175, 1980, pp. 33-51
  • with Fintushel: An exotic free involution of , Annals of Mathematics, Volume 113, 1981, pp. 357-365
  • Instantons and the topology of 4-manifolds , Mathematical Intelligencer, Volume 5, 1983, pp. 39-44 (on the work of Simon Donaldson and Michael Freedman, which won them the Fields Medal), pdf
  • Gauge theories as a tool for low dimensional topologists, in W. Jäger, J. Moser, R. Remmert: Perspectives in mathematics. Anniversary of Oberwolfach 1984, Birkhäuser 1984, pp. 497-508
  • with Fintushel: Pseudofree orbifolds, Annals of Mathematics, Volume 122, 1985, pp. 335-364
  • with Fintushel: Instanton homology of Seifert fibred homology three spheres ", Proceedings of the London Mathematical Society, Volume 61, 1990, pp. 109-137
  • with Fintushel: Immersed spheres in 4-manifolds and the immersed Thom conjecture, Turkish Journal of Mathematics, Volume 19, 1995, pp. 145–157
  • with Fintushel: The blowup formula for Donaldson invariants, Annals of Mathematics, Volume 143, 1996, pp. 529-546
  • with Fintushel: Rational blowdowns of smooth 4-manifolds, Journal of Differential Geometry, Volume 46, 1997, pp. 181-235
  • with Fintushel: 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 Fintushel: Knots, links, and 4-manifolds, Inventiones mathematicae, Volume 134, 1998, pp. 363-400, Arxiv
  • with Fintushel: Symplectic surfaces in a fixed homology class, J. Diff. Geom., Vol. 52, 2000, pp. 203-222
  • with Fintushel: Families of simply connected 4-manifolds with the same Seiberg-Witten invariants, Topology, Volume 43, 2004, pp. 1449-1467
  • with Fintushel: Invariants for Lagrangian tori, Geom. Topol., Volume 8, 2004, pp. 947-968 * with star: Tori in symplectic 4-manifolds, Geometry and Topology Monographs, Volume 7, 2004, Proceedings of the Casson Fest, Pp. 311-333
  • with Fintushel, BD Park: Reverse engineering small 4-manifolds, Algebraic & Geometric Topology, Volume 7, 2007, pp. 2103-2116
  • with Fintushel: 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. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ↑ Ronald J. Stern in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ In the same year he was briefly an associate professor at the University of Hawaii
  4. ↑ Reprinted in the anthology of Mathematical Intelligencer: Jeremy Gray, Robin Wilson Mathematical Conversations , Springer 2001, p. 333
personal data
SURNAME Stern, Ronald J.
ALTERNATIVE NAMES Stern, Ronald John (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH January 20, 1947
PLACE OF BIRTH Chicago