#3,286

Most Influential Person Now

American mathematician

Karen Uhlenbeckmathematics Degrees

Mathematics

#176

World Rank

#402

Historical Rank

#81

USA Rank

Measure Theory

#299

World Rank

#455

Historical Rank

#132

USA Rank

Mathematics

- PhD Mathematics Brandeis University

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.

- 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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