Mathematician:Karen Keskulla Uhlenbeck
American mathematician who is one of the founders of modern geometric analysis.
- 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.
- Born: August 24, 1942 in Cleveland, Ohio, U.S.
Theorems and Definitions
Results named for Karen Keskulla Uhlenbeck can be found here.
- 1977: Regularity for a class of non-linear elliptic systems (Acta Math. Vol. 138: pp. 219 – 240)
- 1981: The existence of minimal immersions of 2-spheres (Ann. Math. Ser. 2 Vol. 113: pp. 1 – 24) (with Jonathan Sacks) www.jstor.org/stable/1971131
- 1982: Minimal immersions of closed Riemann surfaces (Trans. Amer. Math. Soc. Vol. 271: pp. 639 – 652) (with J. Sacks) www.jstor.org/stable/1998902
- 1982: Removable singularities in Yang-Mills fields (Commun. Math. Phys. Vol. 83: pp. 11 – 29)
- 1982: Connections with $L^p$ bounds on curvature (Commun. Math. Phys. Vol. 83: pp. 31 – 42)
- 1982: A regularity theory for harmonic maps (J. Differ. Geom. Vol. 17: pp. 307 – 335) (with Richard Schoen)
- 1984: Instantons and Four-Manifolds (with Daniel S. Freed)
- 1991: Instantons and Four-Manifolds 2nd ed. (with Daniel S. Freed)
- 1986: On the existence of Hermitian-Yang-Mills connections in stable vector bundles (Communications on Pure and Applied Mathematics Vol. 39: pp. S257 – S293) (with Shing-Tung Yau)
- 1989: Harmonic maps into Lie groups: classical solutions of the chiral model (J. Differ. Geom. Vol. 30: pp. 1 – 50)
- 1992: On the connection between harmonic maps and the self-dual Yang-Mills and the sine-Gordon equations (Journal of Geometry and Physics Vol. 8: pp. 283 – 316)
Also known as
Born Karen Keskulla, she adopted the surname Uhlenbeck on her marriage to Olke C. Uhlenbeck.