BANFF PROTOCOL	RONALD J. STERN Professor of Mathematics Department of Mathematics University of California Irvine, CA 92697-3875 Tel: (949) 824-1823 Fax: (949) 824-7993
Research Interests My primary area of research includes low dimensional topology, particularly 4-dimensional topology, geometry, and gauge theory. These have been dynamic fields for the past 25 years and have close ties with many other areas of research: geometric analysis, mathematical physics, string theory, and knot theory are just a few.
Recent Research Papers
Reverse engineering small 4-manifolds R.A. Fintushel, B.D. Park, and R.J. Stern Algebraic and Geometric Topology 7 (2007) 2103-2116.
Surgery on nullhomologous tori and simply connected 4-manifolds with b^+=1 R.A. Fintushel and R.J. Stern, Journal of Topology 1 (2008), 1-15
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
Will we ever classify simply-connected smooth 4-manifolds?, Clay Mathematics Proceedings 5 (2006), Floer Homology, Gauge Theory and Low Dimensional Topology, 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.
Invariants for Lagrangian Tori R.A. Fintushel and R.J. Stern, Geometry and Topology 8 (2004), 949-968
Tori in symplectic 4-manifolds R.A. Fintushel and R.J. Stern, Geometry and Topology Monographs, 7 (2004), Proceedings of the Casson Fest, 311-333.
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-manifolds with one basic class R.A. Fintushel, Jongil Park, and R.J. Stern Algebraic and Geometric Topology 2 (2002), 391-402.
The canonical class of a symplectic 4-manifold R.A. Fintushel and R.J. Stern Turkish J. Math. 25 (2001), no. 1, 137--145
Nonsymplectic 4-manifolds with one basic class R.A. Fintushel and R.J. Stern Pacific J. Math. 194 (2000), no. 2, 325-333.
Nondiffeomorphic symplectic 4-manifolds with the same Seiberg-Witten invariants R.A. Fintushel and R.J. Stern Proceedings of the Kirbyfest, Geometry and Topology Monographs 2 (1999), 103-111
Symplectic surfaces in the same homology class R.A. Fintushel and R.J. Stern Journal of Differential Geometry 52 (1999), 203-222.
Constructions of Smooth 4-manifolds R.A. Fintushel and R.J. Stern Doc. Math. J. DMV Extra Volume ICM II (1998), 443-452
Knots, Links, and 4-manifolds (journal version)(pdf version) R.A. Fintushel and R.J. Stern Inventiones Mathematicae 134 (1998), 363-400
Surfaces in 4-manifolds R.A. Fintushel and R.J. Stern Mathematical Resarch Letters 4 (1997), 907-914
A fake smooth CP^2 # RP^4 D. Rubermann and R.J. Stern Mathematical Resarch Letters 4 (1997), 375-378
Rational blowdowns of smooth 4-manifolds (journal verson) R.A. Fintushel and R.J. Stern Journal of Differential Geometry 46 (1997), 181-235
The blowup formula for Donaldson invariants R.A. Fintushel and R.J. Stern Annals of Mathematics (2)143 (1996), 529-546
Immersed spheres in 4-manifolds and the immersed Thom conjecture R.A. Fintushel and R.J. Stern Turkish Journal of Mathematics 19 (1995), 145--157.
Donaldson invariants of 4-manifolds with simple type R.A. Fintushel and R.J. Stern Journal of Differential Geometry 42 (1995), 577--633
Slides from recent research talks · Harvard Colloquium, April 2008 · Euler Fest, University of Basel, June 2007 · Takao Matumoto’s 60^th Birthday Conference, Hiroshima University February 2006 · 4-dimensional Worlds, UC Irvine February 25, 2005 · DMV Jahrestagung, September 2004
Videos of Conference Talks · Some curious symplectic and non-symplectic 4-manifolds (1998) · Pacific Northwest Geometry Conference (1996)
Classes I am currently Teaching Fall 2007: Math 250A, Algebraic Topology

My Ph.D. Students

• Jim Hoste, 1982, Professor, Pitzer College
• Gordana Matic, 1986, Professor, University of Georgia
• Kurt Burnette, 1986, Gregorian University, Pontifical Oriental Institute in Rome, Italy
• Tran Thuong, 1986, Professor, Southern Missouri State University
• David Austin, 1989, Professor, Grand Valley State University
• Kenneth Ferguson, 1991, Director of Research and Development, First Quadrant, Pasadena, CA
• Burak Ozbagci, 1999, Associate Professor, Koc University, Instanbul, Turkey
• Ki-Heon Yun, 2000, Assistant Professor, Seoul National University
• Yusuf Gurtas, 2003, Assistant Professor, St. Louis University
• Anar Akhmedov, 2006, Post Doc, Columbia, Asst. Prof. U. Minn
• Ahmet Beyaz, 2006, Assistant Professor, Middle Eastern Technical University, Ankara, Turkey

Editorial Positions

Geometry and Topology, editor

New York Journal of Mathematics, editor

Mathematical Reviews Editorial Board

Pacific Journal of Mathematics, President and Chair of the Board of Governors

Mathematical Sciences Publishers, Board of Directors