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Tomasz Mrowka information


Tomasz Mrowka
Mrowka at Aarhus University, 2011
Born (1961-09-08) September 8, 1961 (age 62)
State College, Pennsylvania, US
NationalityAmerican
Alma mater
  • MIT
  • University of California, Berkeley
Known forKronheimer–Mrowka basic class
Awards
  • Fellow, American Academy of Arts and Sciences (2007)
  • Veblen Prize (2007)
  • Doob Prize (2011)
  • Member, National Academy of Sciences (2015)
  • Leroy P. Steele Prize for Seminal Contribution to Research (2023)
Scientific career
FieldsMathematics
InstitutionsMIT
Thesis A local Mayer-Vietoris principle for Yang-Mills moduli spaces  (1988)
Doctoral advisorClifford Taubes
Robion Kirby
Doctoral studentsLarry Guth
Lenhard Ng
Sherry Gong

Tomasz Mrowka (born September 8, 1961) is an American mathematician specializing in differential geometry and gauge theory. He is the Singer Professor of Mathematics and former head of the Department of Mathematics at the Massachusetts Institute of Technology.

Mrowka is the son of Polish mathematician Stanisław Mrówka [pl],[1] and is married to MIT mathematics professor Gigliola Staffilani.[2]

  1. ^ W. Piotrowski, Stanisław G. Mrówka (1933–2010), Wiadom. Mat. 51 (2015), 347–348 [1].
  2. ^ 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.

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Tomasz Mrowka

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Tomasz Mrowka (born September 8, 1961) is an American mathematician specializing in differential geometry and gauge theory. He is the Singer Professor...

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Jim Simons

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Eliashberg and Michael J. Hopkins 2004 David Gabai 2007 Peter Kronheimer and Tomasz Mrowka; Peter Ozsváth and Zoltán Szabó 2010 Tobias Colding and William Minicozzi;...

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Robert Gompf

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concerns the topology of 4-manifolds. In 1990, he demonstrated with Tomasz Mrowka that there is a simply connected irreducible 4-manifold that admits...

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Thom conjecture

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of its homology class. It was first proved by Peter Kronheimer and Tomasz Mrowka in October 1994, using the then-new Seiberg–Witten invariants. Assuming...

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Oswald Veblen Prize in Geometry

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1–49. (with Jeffrey Smith) 2004 David Gabai 2007 Peter Kronheimer and Tomasz Mrowka for: The genus of embedded surfaces in the projective plane. Math. Res...

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Larry Guth

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studied geometry of objects with random shapes under the supervision of Tomasz Mrowka. After MIT, Guth went to Stanford as a postdoc, and later to the University...

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Clifford Taubes

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Seiberg–Witten Floer homology as developed by Peter Kronheimer and Tomasz Mrowka together with some new estimates on the spectral flow of Dirac operators...

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List of International Congresses of Mathematicians Plenary and Invited Speakers

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Yoichi Miyaoka Ngaiming Mok Greg Moore (physicist) David R. Morrison Tomasz Mrowka Charles M. Newman Noam Nisan Madhav Vithal Nori Edward Wilfred Odell...

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Gigliola Staffilani

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earned tenure there in 2001. While at Stanford, she met her husband, Tomasz Mrowka, a mathematics professor at MIT, and after a year and a half found a...

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Fredholm operator

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Riemannian manifolds", Pacific J. Math. 87, no. 1 (1980), 169–185. Tomasz Mrowka, A Brief Introduction to Linear Analysis: Fredholm Operators, Geometry...

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Floer homology

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the monograph Monopoles and Three-manifolds by Peter Kronheimer and Tomasz Mrowka, where it is known as monopole Floer homology. Taubes has shown that...

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Khovanov homology

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cousins: Jacob Rasmussen's new proof of a theorem of Peter Kronheimer and Tomasz Mrowka, formerly known as the Milnor conjecture (see below). There is a spectral...

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List of Polish Americans

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(1924–2005), primatologist; Polish independence fighter during World War II Tomasz Mrowka (born 1961), American mathematician specializing in differential geometry...

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Advances in Mathematics

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Discipline Mathematics Language English Edited by Michael J. Hopkins, Tomasz Mrowka, Gang Tian Publication details History 1961–present Publisher Elsevier...

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Yongbin Ruan

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applications to Riemannian Geometry under the supervision of Robion Kirby (and Tomasz Mrowka). As a postdoctoral researcher he was at Michigan State University....

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Sherry Gong

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Monopole and Singular Instanton Floer Homologies, was supervised by Tomasz Mrowka. Gong is the second U.S. woman (after Alison Miller won in 2004) to...

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Lenhard Ng

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Submanifolds Scientific career Fields Mathematics Institutions Duke University Mathematical Sciences Research Institute Doctoral advisor Tomasz Mrowka...

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Geometry Festival

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Seiberg–Witten invariants for counting curves on Calabi–Yau manifolds Tomasz Mrowka, The Seiberg-Witten equations and 4-manifold topology Yongbin Ruan,...

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Tame manifold

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Gabai, David (2009), "Hyperbolic geometry and 3-manifold topology", in Mrowka, Tomasz S.; Ozsváth, Peter S. (eds.), Low dimensional topology, IAS/Park City...

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Robion Kirby

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Stephen Bigelow Tim Cochran David Gauld Robert Gompf Elisenda Grigsby Tomasz Mrowka Yongbin Ruan Martin Scharlemann Rob Schneiderman (mathematician) Michael...

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Timeline of manifolds

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categories from path integrals). 1994 Peter Kronheimer, Tomasz Mrowka Kronheimer and Mrowka introduce the idea of "canonical classes" in the cohomology...

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Furioza

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Wojciech Zieliński [pl] as "Kaszub" Szymon Bobrowski as "Antman" (Polish: "Mrówka") Janusz Chabior [pl] as Polański Sebastian Stankiewicz [pl] as "Buła" Konrad...

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Property P conjecture

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arXiv:math.SG/0312091. doi:10.2140/agt.2004.4.73. Kronheimer, Peter; Mrowka, Tomasz (2004). "Witten's conjecture and Property P". Geometry & Topology. 8:...

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List of Guggenheim Fellowships awarded in 2010

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Mitchell Humanities Translation Hajoe Moderegger Creative Arts Fine Arts Tomasz Mrowka Natural Sciences Mathematics Maggie Nelson Creative Arts General Nonfiction...

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