Ronald J. Stern
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
- ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
- ↑ Ronald J. Stern in the Mathematics Genealogy Project (English)
- ↑ In the same year he was briefly an associate professor at the University of Hawaii
- ↑ Reprinted in the anthology of Mathematical Intelligencer: Jeremy Gray, Robin Wilson Mathematical Conversations , Springer 2001, p. 333
personal data | |
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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 |