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Tom Mrowka is a mathematician recognized for his work analysis and geometry and their applications to low dimensional topology. Known for the resolution of a series of long standing conjectures due to among others Bing, Milnor, and Thom, regarding the topology of knots, and manifolds of dimension three and four. Much of his work is joint with Peter Kronheimer. Together they developed tools which give deep insight into low dimensional topology using the differential equations of high energy physics, like the Yang-Mills and Siebert-Witten equations. Born in State College Pennsylvania in 1961 and spent time there, Kalamazoo, and Buffalo as a child. He received his S.B from MIT in 1983 and his Ph.D. from U.C. Berkeley under the direction of Clifford Taubes in 1988. He spent a year at the Mathematical Sciences Research Institute in Berkeley. After 2 years as Szego Assistant Professor at Stanford University, he moved to Caltech receiving tenure in 1992. He moved to MIT in 1996 and has been the department head since 2014. He is the winner of the 2007 Veblen Prize and 2011 Doob Prize both jointly with Peter Kronheimer. He was a Sloan Foundation Fellow, a Radcliffe Fellow and is a member of American Academy of Arts and Sciences, class of 2007 and the National Academy of Sciences, class of 2015.
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GEOMETRY & TOPOLOGYno. 3 (2019): 1491-1547
COMPOSITIO MATHEMATICAno. 2 (2016): 399-444
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