Karen K. Uhlenbeck
Personal Data
Born: August 24, 1942, Cleveland, Ohio
Education
Ph.D. Brandeis University (Ph.D advisor: Richard Palais) 1968
M.A. Brandeis University 1966
B.S. University of Michigan 1964
Professional Experience
 l99798 Distinguished Visiting Professor, Institute for Advanced
Study,
Princeton
 1995 Member, Institute for Advanced Study, Princeton
 1992 Visitor, Mathematics Research Centre, Warwick University,
England
 198788 Visiting Professor and Sid W. Richardson Foundation
Regents
Chair
in Mathematics, University of Texas at Austin
 1987 Visitor, IHES, BuresSurYvette, France
 1986 Visiting Professor, University of California, San Diego
 198388 Professor, University of Chicago
 1985 Visiting Professor, MaxPlanckInstitut für Mathematik, Bonn
 1983 Visiting Professor, Harvard University
 1982 Visiting Member, Mathematical Sciences Research Institute,
Berkeley
 197980 Member, Institute for Advanced Study, Princeton
 1979 Chancellor's Distinguished Visiting Professor, University of
California,
Berkeley
 197783 Associate Professor, Professor, University of Illinois,
Chicago
 1976 Visiting Associate Professor, Northwestern University
 197176 Assistant Professor, Associate Professor, University of
Illinois,
UrbanaChampaign
 196971 Lecturer, University of California, Berkeley
 196869 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
 20022006 Harrington Fellowship Committee, University of Texas
 2000 National Academy of Science, Class Membership Committee
 l998 Visiting Committee, Stanford University
 l99798 National Academy of Science, Synposium on Women in Science

Careers
1996 Visiting Committee,
Massachusetts Institute for Technology
199598 Waterman Award Committee,
National Science
Foundation
199495 American Mathematical
Society, Colloquium Committee
1993 Mentoring
Program for Women in Mathematics, Institute
for
Advanced Study, Organizer of yearly 10day program
199097 Institute for
Advanced Study/Park City Mathematics Institute
(and
its predecessor, Regional Geometry Institute), Steering
Committee
199399 Alfred P. Sloan
Foundation, Research Fellowships in Mathematics
Program Committee
199394 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
199194 National
Research Council, Committee on Women in Science a
and Technology
1990 Mathematics Education
Reform Network (MER), Trustee
 199091 National Research Council, Committee to Assess Graduate
and
Postgraduate
Education in Mathematics
 199091 Committee on Education for SuperConducting Super Collider
 199091 American Mathematical Society, Satter Prize Committee
 198890 American Mathematical Society, Gibbs Lecturer Committee
 198790 American Mathematical Society, VicePresident
 198386 Institute for Mathematics and Applications, Minneapolis,
Board
of Governors (Chairman, 198586)
 198390 Mathematical Sciences Research Institute, Trustee
 198385 American Mathematical Society, Program Committee
 1980 National Science Foundation, Advisory Committee on Other
Alternative
Modes of Support
 197981 American Mathematical Society, Nominating Committee,
Elected
Member
 197882 American Mathematical Society Council, Elected
MemberatLarge
 197880 Association for Women in Mathematics, Committee to Select
Noether
Lecturer, Chairman
 197780 American Mathematical Society, Fellowship Committee
(Chairman,
197980)
 197779 American Mathematical Society, Committee to Select
Speakers for
Western Sectional
 197679 National Science Foundation, Advisory Committee for
Mathematical
and Computer Sciences, Mathematics Subpanel
 197677 American Mathematical Society, Committee on Committees
Editorial Boards
 199299 Communications in Analysis and Geometry, Associate Editor
 199197 Calculus of Variations and Partial Differential
Equations,
Editorial
Board
 19912005 Journal of Knot Theory, Associate Editor
 199197 Houston Journal of Mathematics, Editorial Board
 198994 Journal of Mathematical Physics, Editorial Board
 198891 Journal of Differential Geometry, Associate Editor
 198790 Ergebnisse der Mathematik, Editorial Board
 198691 Journal of the American Mathematical Society, Editorial
Board
 1983 Communications in Partial Differential Equations, Editorial
Board
 198086 Illinois Journal of Mathematics, Editorial Board
 197981 Journal of Differential Geometry, Editorial Board
Visiting Committees
l998
Stanford University
19942006 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
 198388 MacArthur Prize Fellowship
 197980 Albert Einstein Fellow, Institute for Advanced Study,
Princeton
 197476 Sloan Foundation Fellowship
 196468 National Science Foundation Graduate Fellowship
 196465 Woodrow Wilson Fellow
 1964 Phi Beta Kappa
THESIS STUDENTS
Bonita Driscoll, Northwestern University, June 1978
Robert Lockhart, University of Illinois, UrbanaChampaign, 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
Articles
 Regularity Theorems for solutions of elliptic polynomial
equations,
Amer.
Math. Soc., Symposium in Pure Math. XVI (1970), 225231.
 Morse theory on Banach manifolds, Bull. Amer. Math. Soc.,
76(1970),
105107.
 Integrals with nondegenerate critical points, Bull. Amer.
Math.
Soc.,
76(1970), 125128.
 Harmonic maps; a direct method in the calculus of
variations,
Bull.
Amer. Math. Soc., 76(1970), 10821087.
 Morse theory on Banach manifolds, J. Funct. Anal.,
10(1972),
430445.
 Bounded sets and Finsler structures of manifolds of maps,
J.
Diff.
Geom., 7(1972), 589599.
 Eigenfunctions of Laplace operators, Bull. Amer. Math.
Soc.,
78(1972),
107376.
 Lorentz geometry, global analysis and its applications,
Vol. 3,
International
Center for Theoretical Physics, Trieste (1972), 23542.
 The Morse index theorem in Hilbert space, J. Diff. Geom.,
8(1973),
555564.
 A new proof of a regularity theorem for elliptic systems,
Proc.
Amer.
Math. Soc., 37(1973), 315316.
 Morse theory for geodesics on a Lorentz manifold, Topology,
14(1975),
6990.
 Generic properties of Eigenfunctions, Amer. J. Math.,
98(1976),
10591078.
 Regularity for a class of nonlinear elliptic equations,
Acta
Math.,
48(1977), 217238.
 (with J. Sacks) The existence of minimal immersions of
twospheres,
Bull. Amer. Math. Soc., 83(1977), 10331036.
 Removeable singularities in YangMills fields, Bull. Amer.
Math.
Soc., 1(New Series, 1979), 112114.
 (with J. Sacks) The existence of minimal immersions of
2spheres,
Ann. of Math., 113(1981), 124.
 Morse theory by perturbation methods with applications to
harmonic
maps, Trans. Amer. Math. Soc., 267(1981), 569583.
 Variational problems for gauge fields, Seminar on
Differential
Geometry,
S. T. Yau (ed.), Princeton University Press (1982), 455464.
 Removeable singularities in YangMills fields, Comm. Math.
Phys.,
83(1982), 1129.
 Connections with
bounds on curvature, Comm. Math. Phys., 83(1982), 3142.
 Equivariant harmonic maps into spheres, Proceedings of the
Tulane
Conference on Harmonic Maps, Knill, Kalka and Sealey (eds.), Lecture
Notes
in Mathematics 949, SpringerVerlag (1982), 146158.
 (with J. Sacks) Minimal immersions of closed Riemann
surfaces,
Trans.
Amer. Math. Soc., 271(1982), 639652.
 (with R. Schoen) A regularity theory for harmonic maps, J.
Diff.
Geom., 17(1982), 307335.
 Minimal spheres and other conformal variational problems,
Seminar
on Minimal Submanifolds, E. Bombieri (ed.), Princeton University Press
(1983), 169176.
 Closed minimal surfaces in hyperbolic 3manifolds, Seminar
on
Minimal
Submanifolds, E. Bombieri (ed.), Princeton University Press (1983),
147168.
 Boundary regularity and Dirichlet Problem for harmonic
maps, J.
Diff.
Geom., 18(1983), 253268.
 Conservation laws and their application in Global
Differential
Geometry,
in Srinivasan and Sally (eds.), Emmy Noether in Bryn Mawr (1983),
SpringerVerlag,
103115.
 Regularity of minimizing harmonic maps into spheres,
Invent.
Math.,
78(1984).
 Variational problems for Gauge fields, Proceedings of the
International
Congress of Mathematics, August 1624, 1983, Warsaw (1984), 613619.
 The Chern classes of Sobolev connections, Comm. Math.
Phys.,
101(1985),
449457.
 (with S.T. Yau) On the existence of Hermitian YangMills
connections
in stable bundles, Comm. Pure Appl. Math., 39(1986), S257S297.
 Commentary on Analysis in the Large, in A Century of
Mathematics
in America, Part II, Peter Duren (ed.), American Mathematical Society
(1988),
357359.
 Harmonic Maps into Lie Groups (classical solutions of the
chiral
model), J. Diff. Geom., 30 (1989), 150.
 (with L. M. Sibner, R. J. Sibner) Solutions to YangMills
Equations
which are not selfdual, Proc. Nat. Acad. Sci., 89(1989), 86108613.
 Applications of nonlinear analysis in topology, Proc. of
the
ICM90,
Mathematical Society of Japan, 1991, 261279.
 Instantons and their relatives, Mathematics into the 21st
Century,
Browder (ed.), American Mathematical Society (1992), 467479.
 On the connection between harmonic maps and the selfdual
YangMills
and the SineGordon equations, J. Geom. Phys., 8(1992), 283316.
 (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),
201202.
 (with G. Daskalopoulos) An application of traversality to
the
topology
of the moduli space of stable bundles, Topology, 34(1995), 203215.
 (with G. Daskalopoulos and R. Wentworth) Moduli of
extensions of
holomorphic bundles on Kähler manifolds, Comm. Anal. Geom, 3(1995),
479522.
 Moduli spaces and adiabatic limits, Notices of the AMS,
42(1995),
4142.
 (with R. Mazzeo and D. Pollack) Connected sum structions
for
constant
scalar curvature metrics, Topological Methods in Nonlinear Analysis,
6(1995),
207233.
 (with R. Mazzeo and D. Pollack) Moduli spaces of singular
Yamabe
metrics, J. Amer. Math. Soc., 9(1996), 303343.
 (with C.L. Terng) Poisson Actions and Scattering Theory for
Integrable
Systems, Survey in Surveys in Differentiable Geometry, vol 4,
International Press (l998).
 (with C.L. Terng) Introduction to the volume "Survey's in
Differential Geometry," Integrable Systems, Volume 4 (2000), 15.
 (with C.L. Terng) The Geometry of Solitons (cover article)
Notices of the AMS 47 (2000),1725.
 (with C L Terng) Backlund Transformations and Loop Group
Actions, Communications in Pure and Applied Mathematics 53 (2000, 175.
 (with N.H. Chang and J. Shatah) Schroedinger Maps, Comm. Pure
Appl. Math 53 (2000),590602.
 (with J. Viaklovsky) Regularity of weak solutions to critical
exponent variational problems, Mathematical Research Letters, I P, vol
7 no 56 (2000), 652656.
 (with A. Nahmod and A. Stefanov) On the wellposedness of
the wave map problem in high dimensions, Comm. Analysis and Geometry,
vol 11, no 1 (2003) 2983.
 (with A. Nahmod and A Stephanov) On Schroedinger Maps,
Comm. Pure Appl. Math 56 (2003) no 1, 114151.
 (with C.L. Terng) Wave maps into symmetric spaces,
Comm. Anal. Geom. 12 (2004), no 12, 345388.
 (with C. L. Terng) Schroedinger flows on Grassmannians,
Integrable systems, geometry and topology, 234256, AMS/IP Stud.
Adv.Math, AMS, Providence (2006), 235256.
 (with M. Vajiac) Virasoro Actions on harmonic maps, submitted to
JDG.
 (with C. L. Terng) On Spacetime Monopoles.
 (with A. Goncalves) On constant mean curvature embeddings of
surfaces in space forms, To appear in CAG.
Books
 (with D. Freed) Instantons and 4manifold Topology, Mathematical
Sciences
Research Institute Lecture Notes, 1, Springer Verlag, 1984.
 (edited) Global Analysis in Modern Mathematics: a Symposium
in
Honor
of Richard Palais' sixtieth birthday. Publish or Perish, 1993.
 (edited with D. Freed) Geometry and Quantum Field Theory,
American
Mathematical Society, 1995.