Mathematician:Karen Keskulla Uhlenbeck

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American mathematician who is one of the founders of modern geometric analysis.

Abel Prize

Karen Keskulla Uhlenbeck was awarded an Abel Prize in $\text {2019}$:

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)
  • 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)
  • 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.