Karen K. Uhlenbeck

Personal Data

Born: August 24, 1942, Cleveland, Ohio




Ph.D. Brandeis University (Ph.D advisor: Richard Palais) 1968
M.A. Brandeis University 1966
B.S. University of Michigan 1964



Professional Experience

l997-98 Distinguished Visiting Professor, Institute for Advanced Study, Princeton
1995 Member, Institute for Advanced Study, Princeton
1992 Visitor, Mathematics Research Centre, Warwick University, England
1987-88 Visiting Professor and Sid W. Richardson Foundation Regents Chair in Mathematics, University of Texas at Austin
1987 Visitor, IHES, Bures-Sur-Yvette, France
1986 Visiting Professor, University of California, San Diego
1983-88 Professor, University of Chicago
1985 Visiting Professor, Max-Planck-Institut für Mathematik, Bonn
1983 Visiting Professor, Harvard University
1982 Visiting Member, Mathematical Sciences Research Institute, Berkeley
1979-80 Member, Institute for Advanced Study, Princeton
1979 Chancellor's Distinguished Visiting Professor, University of California, Berkeley
1977-83 Associate Professor, Professor, University of Illinois, Chicago
1976 Visiting Associate Professor, Northwestern University
1971-76 Assistant Professor, Associate Professor, University of Illinois, Urbana-Champaign
1969-71 Lecturer, University of California, Berkeley
1968-69 Instructor, Massachusetts Institute of Technology
Professional Societies
American Mathematical Society
Mathematical Association of America
National Association of Mathematicians
Association for Women in Mathematics



Professional Service

2002-2006 Harrington Fellowship Committee, University of Texas
2000 National Academy of Science, Class Membership Committee
l998- Visiting Committee, Stanford University 
l997-98 National Academy of Science, Synposium on Women in Science

        1996- Visiting Committee,
                       Massachusetts Institute for Technology
        1995-98 Waterman Award Committee, National Science Foundation        
        1994-95 American Mathematical Society, Colloquium Committee
        1993-   Mentoring Program for Women in Mathematics, Institute for
                   Advanced Study, Organizer of yearly 10-day program 
        1990-97 Institute for Advanced Study/Park City Mathematics Institute                          (and its predecessor, Regional Geometry Institute), Steering
        1993-99 Alfred P. Sloan Foundation, Research Fellowships in Mathematics
                     Program Committee
        1993-94 National Research Council, Board on Mathematics Sciences 1993
                      Department of Energy, Review of Applied Mathematical Sciences
                      Research Program, Panel on Mathematical Physics, Chair
         1992 Panel to Select Presidential Secondary Mathematics Teacher           
         1991-94 National Research Council, Committee on Women in Science   a              and  Technology
        1990- Mathematics Education Reform Network (MER), Trustee

1990-91 National Research Council, Committee to Assess Graduate and Postgraduate Education in Mathematics
1990-91 Committee on Education for Super-Conducting Super Collider
1990-91 American Mathematical Society, Satter Prize Committee
1988-90 American Mathematical Society, Gibbs Lecturer Committee
1987-90 American Mathematical Society, Vice-President
1983-86 Institute for Mathematics and Applications, Minneapolis, Board of Governors (Chairman, 1985-86)
1983-90 Mathematical Sciences Research Institute, Trustee
1983-85 American Mathematical Society, Program Committee
1980 National Science Foundation, Advisory Committee on Other Alternative Modes of Support
1979-81 American Mathematical Society, Nominating Committee, Elected Member
1978-82 American Mathematical Society Council, Elected Member-at-Large
1978-80 Association for Women in Mathematics, Committee to Select Noether Lecturer, Chairman
1977-80 American Mathematical Society, Fellowship Committee (Chairman, 1979-80)
1977-79 American Mathematical Society, Committee to Select Speakers for Western Sectional
1976-79 National Science Foundation, Advisory Committee for Mathematical and Computer Sciences, Mathematics Subpanel
1976-77 American Mathematical Society, Committee on Committees



Editorial Boards
1992-99 Communications in Analysis and Geometry, Associate Editor
1991-97 Calculus of Variations and Partial Differential Equations, Editorial Board
1991-2005 Journal of Knot Theory, Associate Editor
1991-97 Houston Journal of Mathematics, Editorial Board
1989-94 Journal of Mathematical Physics, Editorial Board
1988-91 Journal of Differential Geometry, Associate Editor
1987-90 Ergebnisse der Mathematik, Editorial Board
1986-91 Journal of the American Mathematical Society, Editorial Board
1983- Communications in Partial Differential Equations, Editorial Board
1980-86 Illinois Journal of Mathematics, Editorial Board
1979-81 Journal of Differential Geometry, Editorial Board



Visiting Committees

 l998  Stanford University
1994-2006 Massachusetts Institute of Technology
1993 University of Arizona
1992 University of Michigan
1990 University of Utah
1989 Ohio State University
1989 University of Pennsylvania

Awards and Honorary Societies
      2007  Steele Prize, Amercian Mathematics Society
      2004  Honorary Degree:  Doctor of Science; University of Michigan
       2001 National Medal of Science
       2001 Honaray Degree:  Doctor Of Science:  University of Ohio
      2000 National Medal of Science
       2000 Honorary Degree: Doctor of Science, University of Illinois, Champaign
       1995 CommonWealth Award for Science and Technology
1988 Alumni Achievement Award, Brandeis University
1988 Honorary Degree: Doctor of Science, Knox College, Illinois
1986 National Academy of Sciences, Fellow
1985 American Academy of Arts and Sciences, Fellow
1984 Alumna of the Year, University of Michigan
1983-88 MacArthur Prize Fellowship
1979-80 Albert Einstein Fellow, Institute for Advanced Study, Princeton
1974-76 Sloan Foundation Fellowship
1964-68 National Science Foundation Graduate Fellowship
1964-65 Woodrow Wilson Fellow
1964 Phi Beta Kappa

Bonita Driscoll, Northwestern University, June 1978
Robert Lockhart, University of Illinois, Urbana-Champaign, June 1979
Steven Sedlacek, Northwestern University, June 1982
Louis Crane, University of Chicago, August 1985
Caio Negreiros, University of Chicago, June 1987
Steven Bradlow, University of Chicago, August 1988
Georgios Daskalopoulos, University of Chicago, August 1989
Antonella Marini, University of Chicago, August 1990
Jonathan Poritz, University of Chicago, August 1992
Johan Råde, University of Texas at Austin, August 1991
James Wade McDonald, University of Texas at Austin, August 1993
Brendon Guilfoyle University of Texas at Austin, December l996
Jay Handfield, University of Texas at Austin, May l998
Fergus O"Dea University of Texas at Austin, may 2000
Mark Haskins, University of Texas at Austin, May 2000
Alexandre Goncalves, University of Texas at Austin, May 2003
Andre Mandolesi, University of Texas at Austin, Dec 2002


  1. Regularity Theorems for solutions of elliptic polynomial equations, Amer. Math. Soc., Symposium in Pure Math. XVI (1970), 225-231.
  2.  Morse theory on Banach manifolds, Bull. Amer. Math. Soc., 76(1970), 105-107.
  3.  Integrals with nondegenerate critical points, Bull. Amer. Math. Soc., 76(1970), 125-128.
  4.  Harmonic maps; a direct method in the calculus of variations, Bull. Amer. Math. Soc., 76(1970), 1082-1087.
  5.  Morse theory on Banach manifolds, J. Funct. Anal., 10(1972), 430-445.
  6.  Bounded sets and Finsler structures of manifolds of maps, J. Diff. Geom., 7(1972), 589-599.
  7.  Eigenfunctions of Laplace operators, Bull. Amer. Math. Soc., 78(1972), 1073-76.
  8.  Lorentz geometry, global analysis and its applications, Vol. 3, International Center for Theoretical Physics, Trieste (1972), 235-42.
  9.  The Morse index theorem in Hilbert space, J. Diff. Geom., 8(1973), 555-564.
  10.  A new proof of a regularity theorem for elliptic systems, Proc. Amer. Math. Soc., 37(1973), 315-316.
  11.  Morse theory for geodesics on a Lorentz manifold, Topology, 14(1975), 69-90.
  12.  Generic properties of Eigenfunctions, Amer. J. Math., 98(1976), 1059-1078.
  13.  Regularity for a class of non-linear elliptic equations, Acta Math., 48(1977), 217-238.
  14.  (with J. Sacks) The existence of minimal immersions of two-spheres, Bull. Amer. Math. Soc., 83(1977), 1033-1036.
  15.  Removeable singularities in Yang-Mills fields, Bull. Amer. Math. Soc., 1(New Series, 1979), 112-114.
  16.  (with J. Sacks) The existence of minimal immersions of 2-spheres, Ann. of Math., 113(1981), 1-24.
  17.  Morse theory by perturbation methods with applications to harmonic maps, Trans. Amer. Math. Soc., 267(1981), 569-583.
  18.  Variational problems for gauge fields, Seminar on Differential Geometry, S. T. Yau (ed.), Princeton University Press (1982), 455-464.
  19.  Removeable singularities in Yang-Mills fields, Comm. Math. Phys., 83(1982), 11-29.
  20.  Connections with tex2html_wrap_inline212 bounds on curvature, Comm. Math. Phys., 83(1982), 31-42.
  21.  Equivariant harmonic maps into spheres, Proceedings of the Tulane Conference on Harmonic Maps, Knill, Kalka and Sealey (eds.), Lecture Notes in Mathematics 949, Springer-Verlag (1982), 146-158.
  22.  (with J. Sacks) Minimal immersions of closed Riemann surfaces, Trans. Amer. Math. Soc., 271(1982), 639-652.
  23.  (with R. Schoen) A regularity theory for harmonic maps, J. Diff. Geom., 17(1982), 307-335.
  24.  Minimal spheres and other conformal variational problems, Seminar on Minimal Submanifolds, E. Bombieri (ed.), Princeton University Press (1983), 169-176.
  25.  Closed minimal surfaces in hyperbolic 3-manifolds, Seminar on Minimal Submanifolds, E. Bombieri (ed.), Princeton University Press (1983), 147-168.
  26.  Boundary regularity and Dirichlet Problem for harmonic maps, J. Diff. Geom., 18(1983), 253-268.
  27.  Conservation laws and their application in Global Differential Geometry, in Srinivasan and Sally (eds.), Emmy Noether in Bryn Mawr (1983), Springer-Verlag, 103-115.
  28.  Regularity of minimizing harmonic maps into spheres, Invent. Math., 78(1984).
  29.  Variational problems for Gauge fields, Proceedings of the International Congress of Mathematics, August 16-24, 1983, Warsaw (1984), 613-619.
  30.  The Chern classes of Sobolev connections, Comm. Math. Phys., 101(1985), 449-457.
  31.  (with S.-T. Yau) On the existence of Hermitian Yang-Mills connections in stable bundles, Comm. Pure Appl. Math., 39(1986), S257-S297.
  32.  Commentary on Analysis in the Large, in A Century of Mathematics in America, Part II, Peter Duren (ed.), American Mathematical Society (1988), 357-359.
  33.  Harmonic Maps into Lie Groups (classical solutions of the chiral model), J. Diff. Geom., 30 (1989), 1-50.
  34.  (with L. M. Sibner, R. J. Sibner) Solutions to Yang-Mills Equations which are not self-dual, Proc. Nat. Acad. Sci., 89(1989), 8610-8613.
  35.  Applications of non-linear analysis in topology, Proc. of the ICM-90, Mathematical Society of Japan, 1991, 261-279.
  36.  Instantons and their relatives, Mathematics into the 21st Century, Browder (ed.), American Mathematical Society (1992), 467-479.
  37.  On the connection between harmonic maps and the self-dual Yang-Mills and the Sine-Gordon equations, J. Geom. Phys., 8(1992), 283-316.
  38.  (with M. Atiyah, et al.) Responses to ``Theoretical Mathematics: Toward a Cultural Synthesis of Mathematics and Theoretical Physics'', by A. Jaffe and F. Quinn, Bull. Amer. Math. Soc. (new series), 30(1994), 201-202.
  39.  (with G. Daskalopoulos) An application of traversality to the topology of the moduli space of stable bundles, Topology, 34(1995), 203-215.
  40.  (with G. Daskalopoulos and R. Wentworth) Moduli of extensions of holomorphic bundles on Kähler manifolds, Comm. Anal. Geom, 3(1995), 479-522.
  41.  Moduli spaces and adiabatic limits, Notices of the AMS, 42(1995), 41-42.
  42.  (with R. Mazzeo and D. Pollack) Connected sum structions for constant scalar curvature metrics, Topological Methods in Nonlinear Analysis, 6(1995), 207-233.
  43.  (with R. Mazzeo and D. Pollack) Moduli spaces of singular Yamabe metrics, J. Amer. Math. Soc., 9(1996), 303-343.
  44. (with C.-L. Terng) Poisson Actions and Scattering Theory for Integrable Systems, Survey in Surveys in Differentiable Geometry, vol 4, International Press (l998).
  45. (with C.L. Terng)  Introduction to the volume "Survey's in Differential Geometry," Integrable Systems, Volume 4 (2000), 1-5.
  46. (with C.L. Terng) The Geometry of Solitons (cover article) Notices of the AMS 47 (2000),17-25.
  47. (with C L Terng) Backlund Transformations and Loop Group  Actions, Communications in Pure and Applied Mathematics 53 (2000, 1-75.
  48. (with N.H. Chang and J. Shatah) Schroedinger Maps, Comm. Pure Appl. Math 53 (2000),590-602.
  49. (with J. Viaklovsky) Regularity of weak solutions to critical exponent variational problems, Mathematical Research Letters, I P, vol 7 no 5-6 (2000), 652-656.
  50. (with A. Nahmod and A. Stefanov)  On the well-posedness of the wave map problem in high dimensions, Comm. Analysis and Geometry, vol 11, no 1 (2003) 29-83.
  51. (with A. Nahmod and A Stephanov)  On Schroedinger Maps, Comm. Pure Appl. Math 56 (2003) no 1, 114-151.
  52. (with C.L. Terng)  Wave maps into symmetric spaces, Comm.  Anal. Geom. 12 (2004), no 1-2, 345-388.
  53. (with C. L. Terng) Schroedinger flows on Grassmannians, Integrable systems, geometry and topology, 234-256, AMS/IP Stud. Adv.Math, AMS, Providence (2006), 235-256.
  54. (with M. Vajiac) Virasoro Actions on harmonic maps, submitted to JDG.
  55. (with C. L. Terng)  On Space-time Monopoles.
  56. (with A. Goncalves) On constant mean curvature embeddings of surfaces in space forms, To appear in CAG.
  1. (with D. Freed) Instantons and 4-manifold Topology, Mathematical Sciences Research Institute Lecture Notes, 1, Springer Verlag, 1984.
  2.  (edited) Global Analysis in Modern Mathematics: a Symposium in Honor of Richard Palais' sixtieth birthday. Publish or Perish, 1993.
  3.  (edited with D. Freed) Geometry and Quantum Field Theory, American Mathematical Society, 1995.