Ronald J. SternProfessor, Mathematics |
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Research Interests |
Mathematics, geometric topology and differential geometry | |
| URL | math.uci.edu/~rstern/ | |
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Academic Distinctions |
President and the Chair of the Board of Governors of Pacific Math Journal (1995-present). Distinguished Alumnus, Knox College 2002 Editorial Board, New York Journal of Mathematics (1993-present). Editorial Board, Geometry and Topology (1996-present). Elected Trustee, American Mathematical Society 2009- Invited Speaker, International Congress of Mathematicians 1998 UCI School of Physical Sciences Undergraduate Teaching Award 1995 University of Utah Distinquished Teaching Award, 1987 |
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Research Abstract |
Professor Stern's research is in the general area of geometry and topology with special interest in problems in dimensions 3 and 4. His current research focuses on the structure of 4-dimensional manifolds, i.e. objects which are locally modelled on space-time. Professor Stern's research has indicated that the structure of 4-dimensional manifolds is far more complex than previously predicted. | |
| Publications |
Six Lectures on Four 4-Manifolds R.A. Fintushel and R.J. Stern 2006 Park City Mathematics Institute Graduate Summer School on Low Dimensional Topology |
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| Surgery on nullhomologous tori and simply connected 4-manifolds with b+=1, R.A. Fintushel and R.J. Stern, R.A. Fintushel and R.J. Stern, Journal of Topology 1 (2008), 1-15 | ||
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Reverse engineering small 4-manifolds R.A. Fintushel, B.D. Park, and R.J. Stern Algebraic and Geometric Topology 7 (2007) 2103-2116. |
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| Will we ever classify simply-connected smooth 4-manifolds? Clay Mathematics Proceedings 5 (2006), CMI/AMS Book Series, 225-240. | ||
| Double node neighborhoods and families of simply-connected 4-manifolds with b+=1, R.A. Fintushel and R.J. Stern, J. Amer. Math. Soc. 19 (2006), 171-180. | ||
| Families of simply-connected 4-manifolds with the same Seiberg-Witten invariants, R.A. Fintushel and R.J. Stern, Topology 43 (2004), 1449-1467 | ||
| Rational surfaces and symplectic 4-manifods with one basic class (with Ron Fintushel and Jongil Park), Algebraic Geometry and Topology, 2 (2002), 391-402 | ||
| Non-symplectic 4-manifolds with one basic class (with Ron Fintushel), Pacific J. Math. 194 (2000), no. 2, 325?333. | ||
| Symplectic surfaces in the same homology class (with Ron Fintushel), Journal of Differential Geometry 52 (1999) 203-222. | ||
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Knots, Links, and 4-manifolds (with R.A. Fintushel) Inventiones Mathematicae 134 (1998), 363-400 |
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| Rational blowdowns of smooth 4-manifolds (with R.A. Fintushel) Journal of Differential Geometry 46 (1997), 181-235 | ||
| The blowup formula for Donaldson invariants (with R.A. Fintushel) Annals of Mathematics (2)143 (1996), 529-546 | ||
| Grants | National Science Foundation (DMS) The structure of smooth 4-maniolds -$239,906 (2005-2008) | |
| NSF FRG: Holomorphic Curves in Low Dimensional Topology $822,000 (2003-2008) (Co-PIs: Yakov Eliashberg, Michael Hutchings , John Etnyre, Peter Ozsvath) | ||
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Professional Societies |
American Mathematical Society Mathematical Association of America Phi Beta Kappa Sigma Xi |
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| Link to this profile | http://www.faculty.uci.edu/profile.cfm?faculty_id=2168 | |
| Last updated | 11/17/2009 | |