Tomasz Mrowka
| Tomasz Mrowka | |
|---|---|
|
Tomasz Mrowka in Aarhus, 2011. | |
| Born |
8 September 1961 State College, Pennsylvania, USA |
| Nationality | United States |
| Fields | Mathematics |
| Institutions | MIT |
| Alma mater | University of California |
| Doctoral advisor |
Clifford Taubes Robion Kirby |
| Doctoral students |
Larry Guth Christopher Herald Maksim Lipyansky Lenhard Ng Yongbin Ruan Aleksey Zinger |
| Notable awards |
Veblen Prize (2007) Doob Prize (2011) |
Tomasz Mrowka (born 8 September 1961) is an American mathematician. He has been the Singer Professor of Mathematics at Massachusetts Institute of Technology since 2010, from 2007 to 2010 he was the Simons Professor of Mathematics. A graduate of MIT, he received the Ph.D. from University of California, Berkeley in 1988 under the direction of Clifford Taubes and Robion Kirby. He joined the MIT mathematics faculty as professor in 1996, following faculty appointments at Stanford and at Caltech (professor 1994–96).
Mrowka's research is in differential geometry and gauge theory. A prior Sloan fellow and Young Presidential Investigator, he was selected for a Clay Mathematics Visiting Professorship in 1995. In 2007, he received the Oswald Veblen Prize in Geometry from the AMS jointly with Peter Kronheimer, "for their joint contributions to both three- and four-dimensional topology through the development of deep analytical techniques and applications." He is a Fellow of the American Academy of Arts & Sciences.
Mrowka is married to MIT mathematics professor Gigliola Staffilani.[1]
Oswald Veblen Prize in Geometry
The award citation mentions three papers that Mrowka and Kronheimer wrote together.
The first paper in 1995 deals with Donaldson's polynomial invariants and introduced Kronheimer–Mrowka basic class, which have been used to prove a variety of results about the topology and geometry of 4-manifolds, and partly motivated Witten's introduction of the Seiberg–Witten invariants.
The second paper proves the so-called Thom conjecture and was one of the first deep applications of the then brand new Seiberg–Witten equations to four-dimensional topology.
In the third paper in 2004, Mrowka and Kronheimer used their earlier development of Seiberg–Witten monopole Floer homology to prove the Property P conjecture for knots. The citation says: "The proof is a beautiful work of synthesis which draws upon advances made in the fields of gauge theory, symplectic and contact geometry, and foliations over the past 20 years,".
Doob Prize
In 2011 Mrowka with Peter B. Kronheimer received 2011 Doob Prize for their book Monopoles and Three-Manifolds (Cambridge University Press, 2007).[2]
References
- ↑ Baker, Billy (April 28, 2008), "A life of unexpected twists takes her from farm to math department", Boston Globe. Archived by the Indian Academy of Sciences, Women in Science initiative.
- ↑ Kronheimer and Mrowka Receive 2011 Doob Prize