Ron Fintushel's Home Page


	Ronald Fintushel University Distinguished Professor of Mathematics Michigan State University B.A. 1967, Columbia University M.A. 1969, University of Illinois Ph.D. 1975, SUNY Binghamton Email: ronfint@math.msu.edu Office: D218 Wells Hall Phone: (517) 353-8146

	Classes I am currently teaching Math 961 - Algebraic Topology
	Research Interests My areas of research are 4-dimensional topology and geometry and gauge theory. These have been rapidly changing fields for the past twenty years. Part of the intrigue of studying 4-manifolds comes from its close ties with many other fields: geometric analysis, mathematical physics, and knot theory are just a few.
	My Ph. D. Students Franz Maier,1987 Weiping Li,1992, SW Bell Professor of Mathematics, Oklahoma State University Wojciech Wieczorek,1995, Lecturer, Stanford University Jongil Park,1996, Professor, Seoul National University Thomas Mark, 2000, Assistant Professor, University of Virginia Scott Baldridge, 2001, Assistant Professor, Louisiana State University Stanislav Jabuka, 2002, Assistant Professor, University of Nevada, Reno Inanc Baykur, 2007, Postdoctoral Instructor, Brandeis University Adam Knapp, 2008, Ritt Assistant Professor, Columbia University
	Honors Invited Hour Speaker, Regional A.M.S. Meeting, Baton Rouge, LA, 1996 Invited Speaker, 1998 International Congress of Mathematicians, Berlin Michigan State University, Distinguished Faculty Award, 1997 Frame Teaching Award, MSU Dep't of Mathematics, 2000
	Editing Forum Mathematicum Proceedings of the American Mathematical Society, Managing Editor Michigan Mathematical Journal Geometry and Topology Communications in Contemporary Mathematics
	Selected Publications
	An exotic free involution on S⁴, Annals of Math. 113 (1981), 357-365 (with Ronald Stern).
	Pseudofree orbifolds, Annals of Math. 122 (1985), 335-364 (with R. Stern).
	Donaldson invariants of 4-manifolds with simple type, J. Diff. Geom. 42 (1995), 577-633 (with R. Stern).
	The blowup formula for Donaldson invariants, Annals of Math. 143 (1996), 529-546 (with R. Stern).
	Rational blowdowns of smooth 4-manifolds, J. Diff. Geom. 46 (1997), 181-235 (with R. Stern).
	Knots, links, and 4-manifolds, Inventiones Math. 134 (1998), 363-400 (with R. Stern).
	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 R. Stern)
	Surfaces in 4-manifolds, Math. Res. Letters 4 (1997), 907-914 (with R. Stern).
	Symplectic surfaces in a fixed homology class, J. Diff. Geom. 52 (2000), 203-222 (with R. Stern)
	Families of simply connected 4-manifolds with the same Seiberg-Witten invariants, Topology 43 (2004), 1449 - 1467 (with R. Stern).
	Invariants for Lagrangian tori, Geom. Topol. 8 (2004), 947-968 (with R. Stern).
	Tori in symplectic 4-manifolds, Geometry and Topology Monographs, Vol. 7 (2004), Proceedings of the Casson Fest, 311-333 (with R. Stern).
	Double node neighborhoods and families of simply connected 4-manifolds with b⁺=1, J. Amer. Math. Soc. 19 (2006), 171-180 (with R. Stern).
	Surgery on nullhomologous tori and simply connected 4-manifolds with b⁺=1, Journal of Topology 1 (2008), 1-15 (with R. Stern).
	Reverse engineering small 4-manifolds, Algebraic & Geometric Topology 7 (2007), 2103 – 2116 (with B.D. Park and R. Stern).

	Talks
	Surgery on nullhomologous tori, L.S.U. Nov. 9, 2006
	Reverse-engineering families of 4-manifolds, Beijing University, June 18, 2007
	Reverse engineering, Hiroshima University, Feb. 6, 2008
	Ron Stern and me with longtime New Orleans notables Vic and Nat'ly (Many thanks to Scott Baldridge, Terry Lawson, and Tom Mark for arranging for Bunny Matthews to draw this.)
	The old days (1992) Front row: Tom Parker, Weiping Li, Shuguang Wang, Selman Akbulut. Back row: Terry Lawson, me, Simon Donaldson, Yongbin Ruan.
	MSU at the Clay Institute Summer School in Budapest, June 2004 MSU students, faculty, graduates, and postdocs played an active role in the Clay Mathematics Institute Summer School on Floer Homology, Gauge Theory, and Low Dimensional Topology. In this photo: Front row: Bugra Ozer, Hyunjoo Cho, Jongil Park Middle row: Oh Hoon Kwon, Adam Knapp, Inanc Baykur, Burak Ozbagci Back row: Slaven Jabuka, Me, Tom Mark Also participating in the summer school, but missing from the photo: Selman Akbulut, Firat Arikan

	MSU at the Institute for Advanced Study/ Park City Mathematics Institute PCMI 2006 There were many MSU students, faculty, graduates, and postdocs at the Park City Mathematics Institute Summer Session on Low Dimensional Topology. In this photo: Front row: Tom Leness, Shuguang Wang, Me, A future MSU great, Bill Vautaw Middle row: Jongil Park, Mei-Lin Yau, Inanc Baykur, Ali Elgindi, Adam Knapp, Elly Ionel, Doug Park, Wojciech Wieczorek (and yet another future mathematician) Back row: Nathan Sunukjian, Stefano Vidussi, Tom Mark, Andrew Cooper, Burak Ozbagci, Dave Futer Also participating in PCMI, but missing from the photo: Scott Baldridge, Slaven Jabuka, Slava Krushkal

	With Past and Present Students at my Birthday Conference in New Orleans, 2006

	Symposium in honor of Terry Lawson, Tulane, 2007 From the left: Me, Danny Ruberman, Terry Lawson, Reinhard Schultz, Allan Edmonds, Nikolai Saveliev Proceedings of the Symposium

	Deane Montgomery Tribute
	Links Geometry / Topology at MSU Personal Photo Album