2026 Karen Uhlenbeck: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2416	2144	1013	846	81	12091

Research.com Recognitions

2020 - Steele Prize for Lifetime Achievement
2019 - Abel Prize For her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.
2013 - Fellow of the American Mathematical Society
2007 - Steele Prize for Seminal Contribution to Research
2001 - Fellow of John Simon Guggenheim Memorial Foundation
2000 - US President's National Medal of Science "For her many pioneering contributions to global geometry that resulted in advances in mathematical physics and the theory of partial differential equations. Her research accomplishments are matched by her leadership and passionate involvement in mathematics training and education.", Presented by Dr. Neal Lane, Assistant to the President for Science & Technology, at a black-tie dinner awards ceremony at the National Building Museum, Washington, DC, Friday, December 1, 2000.
1986 - Member of the National Academy of Sciences
1985 - Fellow of the American Academy of Arts and Sciences
1983 - Fellow of the MacArthur Foundation
1974 - Fellow of Alfred P. Sloan Foundation

Overview

Karen Uhlenbeck is affiliated with The University of Texas at Austin in the United States. Their research primarily focuses on the field of Mathematics with significant contributions in various subfields including Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Geometry and Topology, and Theoretical Computer Science.

The main topics of their research work cover:

Geometric Analysis and Curvature Flows
Mathematical Dynamics and Fractals
Advanced Mathematical Modeling in Engineering
Analytic and geometric function theory
History and Theory of Mathematics
Nonlinear Partial Differential Equations

Recent publications by Karen Uhlenbeck include:

Transverse Measures and Best Lipschitz and Least Gradient Maps, 2024, Journal of Differential Geometry
Memorial Article for John Tate, 2021, Notices of the American Mathematical Society
"Brilliance and Generosity of Heart": Elizabeth Meckes (1980-2020), 2022, Notices of the American Mathematical Society
Analytic properties of Stretch maps and geodesic laminations, 2022, arXiv (Cornell University)
Transverse Measures and Best Lipschitz and Least Gradient Maps, 2020, arXiv (Cornell University)

The frequent coauthors with whom they have collaborated include Georgios Daskalopoulos, Γεώργιος Δασκαλόπουλος, Barry Mazur, Kenneth A. Ribet, and Dustin Clausen.

The primary publication venues where their work appears most often are:

arXiv (Cornell University)
Notices of the American Mathematical Society
Journal of Differential Geometry

Throughout their career, Karen Uhlenbeck has been recognized with several awards and honors, including:

Steele Prize for Lifetime Achievement, 2020
Abel Prize, 2019, for pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and their impact on analysis, geometry, and mathematical physics
Fellow of the American Mathematical Society, 2013
Steele Prize for Seminal Contribution to Research, 2007
Fellow of John Simon Guggenheim Memorial Foundation, 2001
US President's National Medal of Science, 2000
Member of the National Academy of Sciences, 1986
Fellow of the American Academy of Arts and Sciences, 1985
Fellow of the MacArthur Foundation, 1983
Fellow of Alfred P. Sloan Foundation, 1974

Best Publications

The existence of minimal immersions of $2$-spheres

Jonathan Sacks;Karen Uhlenbeck

1316
Citations
On the existence of hermitian‐yang‐mills connections in stable vector bundles

K. Uhlenbeck;S. T. Yau

1188
Citations
CONNECTIONS WITH L**P BOUNDS ON CURVATURE

Karen K. Uhlenbeck

1040
Citations
A regularity theory for harmonic maps

Richard Schoen;Karen Uhlenbeck

1003
Citations
Instantons and Four-Manifolds

Daniel S. Freed;Karen K. Uhlenbeck

959
Citations
Regularity for a class of non-linear elliptic systems

Karen Uhlenbeck

870
Citations
Harmonic maps into Lie groups: classical solutions of the chiral model

Karen Uhlenbeck

732
Citations
Boundary regularity and the Dirichlet problem for harmonic maps

Richard Schoen;Karen Uhlenbeck

659
Citations
Generic Properties of Eigenfunctions

K. Uhlenbeck

609
Citations
Removable singularities in Yang-Mills fields

Karen K. Uhlenbeck

606
Citations
Bäcklund transformations and loop group actions

Chuu Lian Terng;Karen Uhlenbeck

366
Citations
Minimal immersions of closed Riemann surfaces

J. Sacks;K. Uhlenbeck

220
Citations
Regularity of minimizing harmonic maps into the sphere

Richard Schoen;Karen Uhlenbeck

205
Citations
A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles

K. Uhlenbeck;S. T. Yau

162
Citations
Solutions to Yang—Mills equations that are not self-dual

L. M. Sibner;R. J. Sibner;Karen Uhlenbeck

138
Citations
Moduli Spaces of Singular Yamabe Metrics

Rafe Mazzeo;Daniel Pollack;Karen Uhlenbeck

138
Citations
On Schrodinger Maps

Andrea R Nahmod;Atanas Stefanov;Karen Uhlenbeck

125
Citations
A Morse theory for geodesics on a Lorentz manifold

Karen Uhlenbeck

119
Citations
Geometry and Quantum Field Theory

Daniel Freed;Karen Uhlenbeck

114
Citations
On the well-posedness of the wave map problem in high dimensions

Andrea Nahmod;Atanas Stefanov;Karen Uhlenbeck

109
Citations
B"acklund Transformations and Loop Group Actions

Chuu-Lian Terng;Karen Uhlenbeck

15
Citations

Frequent Co-Authors

Daniel S. Freed The University of Texas at Austin

Rafe Mazzeo Stanford University

Richard Schoen University of California, Irvine

Benoit B. Mandelbrot Yale University

Albert S. Schwarz University of California, Davis

Edward Witten Institute for Advanced Study

David Ruelle Institut des Hautes Études Scientifiques

James Glimm Stony Brook University

Shing-Tung Yau Tsinghua University

Michael Atiyah University of Edinburgh

External Links

Wikipedia of Karen Uhlenbeck Personal website of Karen Uhlenbeck

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