Clifford Taubes | Academic Influence

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Clifford Taubes

Mathematics

#316

World Rank

#669

Historical Rank

#151

USA Rank

Measure Theory

#1368

World Rank

#1718

Historical Rank

#477

USA Rank

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Mathematics

Clifford Taubes's Degrees

Bachelors Mathematics Princeton University

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Why Is Clifford Taubes Influential?

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According to Wikipedia, Clifford Henry Taubes is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional topology. His brother is the journalist Gary Taubes.

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Clifford Taubes'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 SEIBERG-WITTEN INVARIANTS AND SYMPLECTIC FORMS (1994) (611)
SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves (1996) (352)
On Witten's proof of the positive energy theorem (1982) (306)
On the self‐linking of knots (1994) (305)
The Seiberg-Witten and Gromov invariants (1995) (280)
The Seiberg–Witten equations and the Weinstein conjecture (2006) (277)
ArbitraryN-vortex solutions to the first order Ginzburg-Landau equations (1980) (269)
Vortices and Monopoles: Structure of Static Gauge Theories (1980) (231)
Casson's invariant and gauge theory (1990) (222)
Self-dual Yang-Mills connections on non-self-dual 4-manifolds (1982) (219)
Gauge theory on asymptotically periodic {4}-manifolds (1987) (214)
Compensatory cis-trans Evolution and the Dysregulation of Gene Expression in Interspecific Hybrids of Drosophila (2005) (211)
A product formula for the seiberg-witten invariants and the generalized thom conjecture (1996) (199)
Arbitrary N-Vortex Solutions to the First Order (2004) (181)
Self-dual connections on 4-manifolds with indefinite intersection matrix (1984) (166)
On the rigidity theorems of Witten (1989) (161)
Embedded contact homology and Seiberg–Witten Floer cohomology II (2008) (152)
The existence of a non-minimal solution to the SU (2) Yang-Mills-Higgs equations on ℝ3. Part I (1982) (147)
More constraints on Symplectic forms from Seiberg-Witten invariants (1995) (146)
Counting pseudo-holomorphic submanifolds in dimension 4 (1996) (145)
On the equivalence of the first and second order equations for gauge theories (1980) (143)
Seiberg-Witten and Gromov invariants for symplectic 4-manifolds (2005) (139)
S1 actions and elliptic genera (1989) (135)
Gluing pseudoholomorphic curves along branched covered cylinders II (2007) (135)
The existence of anti-self-dual conformal structures (1992) (135)
Compensatory nearly neutral mutations: selection without adaptation. (1996) (124)
Evolutionary construction by staying together and coming together. (2013) (103)
Stability in Yang-Mills theories (1983) (99)
$\underline{SW}$ = Milnor Torsion (1996) (94)
Towards a theory of evolutionary adaptation (2004) (93)
The stable topology of self-dual moduli spaces (1989) (90)
The Weinstein conjecture for stable Hamiltonian structures (2008) (89)
Path-connected Yang-Mills moduli spaces (1984) (88)
Min-max theory for the Yang-Mills-Higgs equations (1985) (73)
HF=HM, I : Heegaard Floer homology and Seiberg–Witten Floer homology (2010) (69)
Four-manifolds without symplectic structures but with nontrivial Seiberg-Witten invariants (1995) (68)
L[2] moduli spaces on 4-manifolds with cylindrical ends (1993) (68)
A framework for Morse theory for the Yang-Mills functional (1988) (66)
Proof of the Arnold chord conjecture in three dimensions, II (2010) (65)
The geometry of the Seiberg-Witten invariants. (1996) (62)
$4$-manifolds with inequivalent symplectic forms and $3$-manifolds with inequivalent fibrations (1999) (60)
The Seiberg–Witten invariants and 4–manifolds with essential tori (2001) (58)
Compactness theorems for SL(2;C) generalizations of the 4-dimensional anti-self dual equations, Part I (2013) (57)
Differential Geometry: Bundles, Connections, Metrics and Curvature (2011) (57)
Proof of the Arnold chord conjecture in three dimensions I (2011) (53)
Lagrangians for the Gopakumar-Vafa conjecture (2002) (49)
PSL(2;C) connections on 3-manifolds with L2 bounds on curvature (2012) (49)
Seiberg{Witten Invariants and Pseudo-Holomorphic Subvarieties for Self-Dual, Harmonic 2{Forms (1999) (48)
Continuum regularization of QCD (1985) (46)
Minimal surfaces in germs of hyperbolic 3{manifolds (2004) (45)
${\rm Gr}Łongrightarrow{\rm SW}$: from pseudo-holomorphic curves to Seiberg-Witten solutions (1999) (42)
Continuum regularization of quantum field theory (II).: Gauge theory (1987) (41)
The zero loci of Z/2 harmonic spinors in dimension 2, 3 and 4 (2014) (38)
Continuum regularization of quantum field theory. (I). Scalar prototype (1987) (38)
The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on S^1 X B^3 (1999) (37)
Periodic Floer homology and Seiberg-Witten Floer cohomology (2009) (37)
HF=HM, II : Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence (2010) (36)
HF=HM, V : Seiberg–Witten Floer homology and handle additions (2012) (35)
HF=HM, III : Holomorphic curves and the differential for the ech/Heegaard Floer correspondence (2010) (34)
Monopoles and maps fromS2 toS2; the topology of the configuration space (1984) (34)
The existence of multi-monopole solutions to the non-Abelian, Yang-Mills-Higgs Equations for arbitrary simple gauge groups (1981) (33)
${\rm GR}={\rm SW}$: counting curves and connections (1999) (29)
Tamed to compatible: symplectic forms via moduli space integration (2009) (29)
Orientation-based differential geometric representations for computer vision applications (1991) (28)
HF=HM, IV : The Seiberg–Witten Floer homology and ech correspondence (2011) (27)
The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on ℝ3: Part II (1982) (26)
A compendium of pseudoholomorphic beasts in R x (S^1 x S^2) (2002) (23)
Modeling differential equations in biology (2000) (23)
Asymptotic spectral flow for Dirac operators (2006) (22)
A compendium of pseudoholomorphic beasts in R × ( S 1 × S 2 ) (1999) (22)
Functional determinants in euclidean Yang-Mills theory (1980) (22)
The behavior of sequences of solutions to the Vafa-Witten equations (2017) (21)
Morse Theory and Monopoles: Topology in Long Range Forces (1984) (20)
Surface integrals and monopole charges in non-abelian gauge theories (1981) (20)
On the behavior of sequences of solutions to U(1) Seiberg-Witten systems in dimension 4 (2016) (19)
Metrics, connections and gluing theorems (1996) (16)
Sequences of Nahm pole solutions to the SU(2) Kapustin-Witten equations (2018) (14)
Seiberg-Witten invariants, self-dual harmonic 2-forms and Hofer-Wysocki-Zehnder formalism (2002) (14)
DNA on a tube: electrostatic contribution to stiffness. (2008) (14)
A proof of a theorem of Luttinger and Simpson about the number of vanishing circles of a near-symplectic form on a 4-dimensional manifold (2006) (13)
PSL$(2; \mathbb{C})$ connections on 3-manifolds with $L^2$ bounds on curvature (2013) (12)
Unique continuation theorems in gauge theories (1994) (12)
General Relativistic Hydrodynamics: The Comoving, Eulerian, and Velocity Potential Formalisms (1980) (12)
Pseudoholomorphic punctured spheres in R x (S^1 x S^2) : Properties and existence (2006) (12)
Seiberg–Witten Floer homology and symplectic forms on S1× M3 (2008) (10)
On the Yang-Mills-Higgs equations (1984) (10)
Solution of the almost‐Killing equation and conformal almost‐Killing equation in the Kerr spacetime (1978) (10)
Homology cobordism and the simplest perturbative Chern-Simons 3-manifold invariant (1993) (10)
An observation concerning uniquely ergodic vector fields on 3-manifolds (2008) (10)
Constructions of measures and quantum field theories on mapping spaces (2005) (9)
Ion atmosphere around nucleic acid. (2005) (9)
Model transcriptional networks with continuously varying expression levels (2011) (7)
Magnetic Bag Like Solutions to the SU(2) Monopole Equations on $${{\mathbb R}^{3}}$$R3 (2013) (6)
The Structure of Static Euclidean Gauge Fields. (1980) (5)
Pseudoholomorphic punctured spheres in R.S 1 S 2 /: Moduli space parametrizations (2006) (5)
Notes on the Seiberg-Witten Equations, the Weinstein Conjecture and Embedded Contact Homology (2007) (5)
Moduli spaces and Fredholm theory for pseudoholomorphic subvarieties associated to self-dual, harmonic 2-forms (1999) (4)
Growth of the Higgs field for solutions to the Kapustin-Witten equations on R^4 (2017) (4)
Seiberg-Witten Floer homology and symplectic forms on \(S^1 \times M^3\) (2009) (4)
Testing for Periodicity (2008) (3)
A note and erratum concerning “min-max theory for the Yang-Mills—Higgs equations” (1989) (3)
Sutured ECH is a natural invariant (2013) (2)
The Seiberg-Witten Invariants (1995) (2)
Tamed to compatible when b^(2+) = 1 and b^1 = 2 (2017) (2)
Dynamics of Bent Molecules in Gels (2003) (2)
Magnetic Bag Like Solutions to the SU ( 2 ) Monopole Equations on R 3 (2014) (2)
Causes of Chaos (2008) (2)
A gauge invariant index theorem for asymptotically flat manifolds (1984) (2)
Quasi-Linear Quantum Field Theories for Maps to Groups and Their Quotients (2006) (2)
A Mayer-Vietoris model for Donaldson-Floer theory (1995) (1)
Correction to a lemma in Embedded Contact Homology and Seiberg-Witten Floer Homology IV (2018) (1)
Modeling Differential Equations in Biology: Introduction to Advection (2008) (1)
The Hodge star (2011) (1)
Corrigendum to “$PSL(2 ; \mathbb{C})$ connections on $3$-manifolds with $L^2$ bounds on curvature” [Cambridge Journal of Mathematics 1 (2013) 239–397] (2015) (1)
Geometry, Particles and Fields. By Bjørn Felsäger (1983) (1)
Flat connections and holonomy (2011) (1)
Modeling Differential Equations in Biology: Diffusion Equations (2008) (1)
Donaldson-Floer theory (1997) (1)
Review: K. Bleuler and M. Werner, Geometrical methods in theoretical physics (1990) (0)
The anti-self dual equations (1996) (0)
O(2) symmetric connections in an SU(2) Yang-Mills theory (1979) (0)
Introduction to Advection (2008) (0)
Modeling Differential Equations in Biology: Introduction to Differential Equations (2008) (0)
Introduction to vector bundles (2011) (0)
Anti-self dual conformal structures on 4-manifolds (1994) (0)
Remarks About Australian Predators (2008) (0)
Long range forces and topology of instanton moduli spaces (2019) (0)
Metrics on vector bundles (2011) (0)
Seiberg-Witten and Gromov Invariants (2021) (0)
Topological aspects of $\mathbb{Z}/2\mathbb{Z}$ eigenfunctions for the Laplacian on $S^2$. (2021) (0)
The No-Trawling Zone (2008) (0)
Math 131-Topology I: Topological Spaces and the Fundamental Group (2018) (0)
Modeling Differential Equations in Biology: The Diffusion Equation and Pattern Formation (2008) (0)
Modeling Differential Equations in Biology: Preface (2008) (0)
Modeling Differential Equations in Biology: Two Key Properties of the Advection and Diffusion Equations (2008) (0)
Book Review: Monopoles and three-manifolds (2009) (0)
Some 4-manifold geometry from hyperbolic knots in S^3 (2016) (0)
Maps and vector bundles (2011) (0)
Matrices and Lie groups (2011) (0)
Holomorphic submanifolds, holomorphic sections and curvature (2011) (0)
Properties of geodesics (2011) (0)
Vector bundles with ℂn as fiber (2011) (0)
Modeling Differential Equations in Biology: Stability in a One-Component System (2008) (0)
The $\mathbb{R}$ invariant solutions to the Kapustin Witten equations on $(0,\infty) \times \mathbb{R}^2 \times \mathbb{R}$ with generalized Nahm pole asymptotics (2019) (0)
[106] On the Self-Linking of Knots (2017) (0)
Book Review: The Floer Memorial Volume (Progress in Mathematics Vo.133) (MATTHIAS SCHWARZ) (1996) (0)
Systems of First-Order Differential Equations (2008) (0)
Fast and Slow (2008) (0)
Covariant derivatives and connections (2011) (0)
Modeling Differential Equations in Biology: Nonlinear Stability Revisited (2008) (0)
Exotic differentiable structures on Euclidean 4-space (1984) (0)
Examples of singularity models for $\mathbb{Z}/2$ harmonic 1-forms and spinors in dimension 3 (2020) (0)
Phase Plane Analysis (2008) (0)
The existence of instanton solutions to the $\mathbb{R}$-invariant Kapustin-Witten equations on $(0,\infty)\times \mathbb{R}^2\times \mathbb{R}$ (2021) (0)
Covariant derivatives, connections and curvature (2011) (0)
Stability in Nonlinear Systems (2008) (0)
IV.7 Differential Topology (2010) (0)
Modeling Differential Equations in Biology: Equilibrium in Two-Component, Linear Systems (2008) (0)
Extra Exercises and Solutions (2008) (0)
Partitioning of electric and magnetic energy in SU(2) gauge theory (2002) (0)
Curvature polynomials and characteristic classes (2011) (0)
Covariant derivatives and metrics (2011) (0)
Algebra of vector bundles (2011) (0)
Metrics with ₊≡0 (1996) (0)
Lectures on the linearized Kapustin-Witten equations on $(0,\infty) \times\ $Y (2020) (0)
Strategy for connect sums (1996) (0)
Estimating Elapsed Time (2008) (0)
Separation of Variables (2008) (0)
Modeling Differential Equations in Biology: Summary of Advection/Diffusion (2008) (0)
The Riemann curvature tensor (2011) (0)
Modeling Differential Equations in Biology: Matrix Notation (2008) (0)
Modeling Differential Equations in Biology: Traveling Wave Velocities (2008) (0)
R. E. BORCHERDS, W. T. GOWERS, M. KONTSEVICH & C. T. McMULLEN (2003) (0)
Deforming the metric (1996) (0)
Deformations to anti-self duality II (1996) (0)
[115] A Remark on Integral Geometry (2017) (0)

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