Tomasz Mrowka
Tomasz Mrowka | |
---|---|
Born | |
Nationality | American |
Alma mater | |
Known for | Kronheimer–Mrowka basic class |
Awards |
|
Scientific career | |
Fields | Mathematics |
Institutions | MIT |
Thesis | A local Mayer-Vietoris principle for Yang-Mills moduli spaces (1988) |
Doctoral advisor | Clifford Taubes Robion Kirby |
Doctoral students | Larry Guth Lenhard Ng Sherry Gong |
Tomasz Mrowka (born September 8, 1961) is an American mathematician specializing in
Mrowka is the son of Polish mathematician Stanisław Mrówka ,[1] and is married to MIT mathematics professor Gigliola Staffilani.[2]
Career
A 1983 graduate of the Massachusetts Institute of Technology, he received the PhD from the 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 University and at the California Institute of Technology (professor 1994–96).[3] At MIT, he was the Simons Professor of Mathematics from 2007–2010. Upon Isadore Singer's retirement in 2010 the name of the chair became the Singer Professor of Mathematics which Mrowka held until 2017. He was named head of the Department of Mathematics in 2014 and held that position for 3 years.[4]
A prior
He became a fellow of the
Research
Mrowka's work combines analysis, geometry, and topology, specializing in the use of partial differential equations, such as the Yang-Mills equations from particle physics to analyze low-dimensional mathematical objects.[4] Jointly with Robert Gompf, he discovered four-dimensional models of space-time topology.[11]
In joint work with Peter Kronheimer, Mrowka settled many long-standing conjectures, three of which earned them the 2007 Veblen Prize. The award citation mentions three papers that Mrowka and Kronheimer wrote together. The first paper in 1995 deals with
In further recent work with Kronheimer, Mrowka showed that a certain subtle combinatorially-defined knot invariant introduced by Mikhail Khovanov can detect “unknottedness.”[15]
See also
- List of Polish-Americans
References
- ^ W. Piotrowski, Stanisław G. Mrówka (1933–2010), Wiadom. Mat. 51 (2015), 347–348 [1].
- .
- ^ "Tomasz Mrowka | MIT Mathematics". math.mit.edu. Retrieved September 18, 2015.
- ^ a b "Tomasz Mrowka named head of the Department of Mathematics". December 10, 2014. Retrieved September 18, 2015.
- ^ a b "2007 Veblen Prize" (PDF). American Mathematical Society. April 2007.
- ^ Kronheimer and Mrowka Receive 2011 Doob Prize
- .
- ^ Leroy P. Steele Prize for Seminal Contribution 2023
- ^ "Tomasz Stanislaw Mrowka". Member Directory. American Academy of Arts & Sciences. Retrieved March 9, 2020.
- ^ "Tomasz S. Mrowka". Member Directory. National Academy of Sciences. Retrieved March 9, 2020.
- JSTOR 2946635.
- .
- .
- S2CID 10764084.
- S2CID 119586228.