Karen Uhlenbeck | Academic Influence

Karen Uhlenbeck's AcademicInfluence.com Rankings

Karen Uhlenbeck

Mathematics

#176

World Rank

#402

Historical Rank

#81

USA Rank

Measure Theory

#299

World Rank

#455

Historical Rank

#132

USA Rank

mathematics Degrees

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Mathematics

Karen Uhlenbeck's Degrees

PhD Mathematics Brandeis University

Why Is Karen Uhlenbeck Influential?

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According to Wikipedia, Karen Keskulla Uhlenbeck is an American mathematician and one of the founders of modern geometric analysis. She is a professor emeritus of mathematics at the University of Texas at Austin, where she held the Sid W. Richardson Foundation Regents Chair. She is currently a distinguished visiting professor at the Institute for Advanced Study and a visiting senior research scholar at Princeton University.

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Karen Uhlenbeck'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 Papers

On the existence of hermitian‐yang‐mills connections in stable vector bundles (1986) (971)
The Existence of Minimal Immersions of 2-Spheres (1981) (879)
Instantons and Four-Manifolds (1984) (570)
Regularity for a class of non-linear elliptic systems (1977) (540)
Harmonic maps into Lie groups: classical solutions of the chiral model (1989) (484)
Removable singularities in Yang-Mills fields (1979) (469)
A regularity theory for harmonic maps (1982) (453)
Boundary regularity and the Dirichlet problem for harmonic maps (1983) (444)
Connections withLP bounds on curvature (1982) (398)
Generic Properties of Eigenfunctions (1976) (387)
Bäcklund transformations and loop group actions (1998) (245)
Minimal immersions of closed Riemann surfaces (1982) (148)
Regularity of minimizing harmonic maps into the sphere (1984) (134)
Moduli Spaces of Singular Yamabe Metrics (1994) (112)
Geometry and Quantum Field Theory (1995) (96)
Solutions to Yang-Mills equations that are not self-dual. (1989) (96)
A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles (1989) (95)
Closed minimal surfaces in hyperbolic 3-manifolds (1984) (87)
A Morse theory for geodesics on a Lorentz manifold (1975) (85)
The Chern classes of Sobolev connections (1985) (79)
On the well-posedness of the wave map problem in high dimensions (2001) (79)
Responses to `Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics', by A. Jaffe and F. Quinn (1994) (73)
Connected sum constructions for constant scalar curvature metrics (1995) (71)
Schrodinger flows on Grassmannians (1999) (62)
Morse theory on Banach manifolds (1972) (60)
Poisson actions and scattering theory for integrable systems (1997) (57)
Introduction to the First Edition (1991) (54)
Equivariant harmonic maps into spheres (1982) (48)
Responses to: A. Jaffe and F. Quinn, “Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics” [Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 1, 1–13; MR1202292 (94h:00007)] (1994) (43)
The Morse index theorem in Hilbert space (1973) (40)
The existence of minimal immersions of two-spheres (1977) (39)
Eigenfunctions of Laplace operators (1972) (39)
On Schrödinger maps (2003) (38)
Morse theory by perturbation methods with applications to harmonic maps (1981) (38)
On the connection between harmonic maps and the self-dual Yang—Mills and the sine-Gordon equations (1992) (37)
Regularity of weak solutions to critical exponent variational equations (2000) (34)
An application of transversality to the topology of the moduli space of stable bundles (1995) (32)
Geometric aspects of the Kapustin–Witten equations (2012) (32)
Geometry of Solitons (2001) (30)
On the space-time Monopole equation (2006) (26)
Erratum: On Schrödinger maps (2004) (25)
Harmonic maps; a direct method in the calculus of variations (1970) (18)
The n × n KdV hierarchy (2011) (17)
Correction to: ``A regularity theory for harmonic maps'' (1983) (16)
VARIATIONAL PROBLEMS FOR GAUGE FIELDS (1982) (15)
THE n × n KDV FLOWS (2006) (13)
Moduli of extensions of holomorphic bundles on Kähler manifolds (1995) (13)
1+1 wave maps into symmetric spaces (2003) (11)
Integrals with nondegenerate critical points (1970) (9)
Removeability of a codimension four singular set for solutions of a Yang–Mills–Higgs equation with small energy (2018) (8)
The calculus of variations and global analysis (1968) (6)
MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS (1984) (6)
Applications of non-linear analysis in topology (1990) (6)
Tau Functions and Virasoro Actions for soliton Hierarchies (2014) (5)
Tau Function and Virasoro Action for the n × n KdV Hierarchy (2014) (5)
On Schr\"odinger maps (2001) (4)
ASYMPTOTICS OF ENDS OF CONSTANT MEAN CURVATURE SURFACES WITH BUBBLETONS (2008) (3)
The Yang-Mills Equations (1991) (3)
Moduli space theory for constant mean curvature surfaces immersed in space-forms (2006) (3)
Virasoro actions and harmonic maps (after Schwarz) (2006) (2)
Global analysis in modern mathematics : a Symposium in honor of Richard Palais' sixtieth birthday (1993) (2)
Geometry, Topology and Physics (1997) (2)
Transverse Measures and Best Lipschitz and Least Gradient Maps (2020) (2)
Constant mean curvature surfaces in hyperbolic 3-space via loop groups (2013) (2)
Tau Function and Virasoro Action for the n × n KdV Hierarchy (2016) (1)
The nxn KdV flows (2006) (1)
The Collar Theorem (1984) (0)
Fake ℝ 4 (1984) (0)
Analytic and Geometric Aspects of Gauge Theory (2022) (0)
Důkazy, fyzika a věci kolem nich (1996) (0)
Wave Maps into Symmetric Spaces (2003) (0)
Connections with If Bounds on Curvature (2004) (0)
The Technique of Fintushel and Stern (1991) (0)
Manifolds of Connections (1984) (0)
Amherst Erratum: On Schrödinger Maps (2019) (0)
SYMPLECTIC CONSTRUCTIONS ON 4-MANIFOLDS by JOHN BOYD ETNYRE (2013) (0)
Applications of non-linear analysis in topology : Plenary address, International Congress of Mathematicians, Kyoto, Japan, August 1990 (1990) (0)
Coming to Grips With Success: A Profile of Karen Uhlenbeck (1996) (0)
Shorter Notes: A New Proof of a Regularity Theorem for Elliptic Systems (1973) (0)
Geometric aspects of the Kapustin–Witten equations (2012) (0)
Symplectic Constructions on 4-manifolds Symplectic Constructions on 4-manifolds Background and Preliminary Results (1996) (0)
The Noether Theorems and their Application to Variational Problems on a Hyperbolic Surface (2023) (0)
Open Problems Session (1997) (0)
A P ] 1 7 M ay 2 00 1 ON SCHRÖDINGER MAPS (2022) (0)
Introduction to Taubes’ Theorem (1991) (0)
Tau Functions and Virasoro Actions for soliton Hierarchies (2016) (0)
Integral systems : lectures on geometry and topology (1998) (0)
Bounded sets and Finsler structures for manifolds of maps (1972) (0)
Geometry of Solitons Chuu-Lian Terng (1999) (0)
The Mathematics of Richard Schoen (2018) (0)
CONFORMAL COMPACTIFICATIONS AND THEIR TOPOLOGY Objekttyp (2019) (0)
A new proof of a regularity theorem for elliptic systems (1973) (0)
Fe b 20 06 ON THE SPACE-TIME MONOPOLE EQUATION (2008) (0)
Conservation Laws and Their Application in Global Differential Geometry (1983) (0)
Cones on ℂℙ2 (1984) (0)
Program of the Workshop (1997) (0)

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