Tomasz Mrowka | Academic Influence

Tomasz Mrowka's AcademicInfluence.com Rankings

Tomasz Mrowka

Mathematics

#666

World Rank

#1226

Historical Rank

#293

USA Rank

Differential Geometry

#25

World Rank

#31

Historical Rank

#13

USA Rank

Geometry

#47

World Rank

#80

Historical Rank

#13

USA Rank

Measure Theory

#3987

World Rank

#4698

Historical Rank

#1134

USA Rank

mathematics Degrees

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Mathematics

Tomasz Mrowka's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is Tomasz Mrowka Influential?

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According to Wikipedia, Tomasz Mrowka 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.

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Tomasz Mrowka's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Genus of Embedded Surfaces in the Projective Plane (1994) (521)
Monopoles and Three-Manifolds (2008) (399)
Khovanov homology is an unknot-detector (2010) (271)
Gauge theory for embedded surfaces, II (1993) (267)
Monopoles and lens space surgeries (2003) (260)
Embedded surfaces and the structure of Donaldson's polynomial invariants (1995) (198)
Monopoles and contact structures (1997) (181)
Knots, sutures, and excision (2008) (153)
The L[2]-moduli space and a vanishing theorem for Donaldson polynomial invariants (1994) (149)
Gauge theory for embedded surfaces , II (1997) (144)
Witten's conjecture and Property P (2003) (137)
Knot homology groups from instantons (2008) (131)
Seiberg--Witten Monopoles on Seifert Fibered Spaces (1996) (112)
Irreducible 4-manifolds need not be complex (1993) (93)
Product formulas along $T^3$ for Seiberg-Witten invariants (1997) (92)
Recurrence relations and asymptotics for four-manifold invariants (1994) (90)
Dehn surgery, the fundamental group and SU(2) (2003) (73)
Scalar curvature and the Thurston norm (1997) (57)
Instanton Floer homology and the Alexander polynomial (2009) (53)
A note on Donaldson's polynomial invariants (1992) (52)
Gauge theory and Rasmussen's invariant (2011) (44)
Legendrian knots and monopoles (2004) (40)
Seiberg-witten equations, end-periodic dirac operators, and a lift of Rohlin's invariant (2009) (39)
Tait colorings, and an instanton homology for webs and foams (2015) (34)
Dehn surgery, the fundamental group and {\itshape SU}(2) (2004) (26)
Filtrations on instanton homology (2011) (20)
{\boldmath{$\operatorname{PU}(2)$} monopoles and a conjecture of Mariño, Moore, and Peradze (1998) (17)
A deformation of instanton homology for webs (2017) (17)
On the diffeomorphism classification of regular elliptic surfaces (1993) (16)
The structure of Donaldson ’ s invariants for four-manifolds not of simple type (1997) (15)
Torsion classes and a universal constraint on Donaldson invariants for odd manifolds (1995) (15)
The Dehn twist on a sum of two $K3$ surfaces (2020) (15)
Exact triangles for SO(3) instanton homology of webs (2015) (15)
Instantons and some concordance invariants of knots (2019) (14)
An index theorem for end-periodic operators (2011) (13)
SCALAR CURVATURE AND THE THURSTON (2004) (8)
Instantons and Bar-Natan homology (2019) (6)
L2-Topology and Lagrangians in the Space of Connections Over a Riemann Surface (2010) (5)
Index theory of the de Rham complex on manifolds with periodic ends (2013) (4)
Dehn twist on a sum of two K 3 surfaces (2020) (3)
Mutation and instanton knot homology (2010) (2)
A short proof of the Birkhoff-Smale theorem (1985) (2)
Low dimensional topology (2009) (2)
Instantons, Bar-Natan homology, and some concordance invariants of knots. (2019) (1)
KNOTS, THREE-MANIFOLDS AND INSTANTONS (2019) (1)
Corrigendum to : Gauge theory and Rasmussen ’ s invariant (2019) (1)
Perspectives in mathematics and physics : essays dedicated to Isadore Singer's 85th birthday (2011) (1)
ec 2 00 3 Witten ’ s conjecture and Property P (0)
Monopoles and Three-Manifolds: Floer homology (2007) (0)
Monopoles and Three-Manifolds: Compactness and gluing (2007) (0)
Cobordisms and invariance (2007) (0)
Hilbert manifolds and perturbations (2007) (0)
Invariants of Legendrian Links Invariants of Legendrian Links (2011) (0)
3 0 N ov 2 00 3 Witten ’ s conjecture and Property (2008) (0)
2 0 D ec 2 00 5 Legendrian knots and Monopoles (2005) (0)
The Seiberg–Witten equations and compactness (2007) (0)
Dedication to Dusa McDuff (2007) (0)
Monopoles and Three-Manifolds: References (2007) (0)
Monopoles and Three-Manifolds: Moduli spaces and transversality (2007) (0)
Monopoles and Three-Manifolds: Further developments (2007) (0)
Geometry of Manifolds (Fall 2004) (PDF) (2005) (0)
Monopoles and Three-Manifolds: Non-exact perturbations (2007) (0)
L²-topology and Lagrangians in the Space of Connections over a Riemann Surface Publisher Accessed Terms of Use Detailed Terms -topology and Lagrangians in the Space of Connections over a Riemann Surface (2010) (0)
[Foot mycoses in patients with arterial ischemia of the lower limbs]. (1983) (0)
Gauge theory and a few applications to knot theory (2021) (0)
Relations in singular instanton homology (2022) (0)

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