### Complete Bibliography

[1] : The calculus of variations and global analysis. Ph.D. thesis, Brandeis University, 1968. Advised by R. S. Palais. MR 2617502 phdthesis

[2] : “Morse theory on Banach manifolds,” Bull. Am. Math. Soc. 76 : 1 (1970), pp. 105–106. MR 253381 Zbl 0199.43102 article

[3] : “Integrals with nondegenerate critical points,” Bull. Am. Math. Soc. 76 : 1 (1970), pp. 125–128. MR 254873 Zbl 0198.43403 article

[4] : “Harmonic maps: A direct method in the calculus of variations,” Bull. Am. Math. Soc. 76 : 5 (1970), pp. 1082–1087. MR 264714 Zbl 0208.12802 article

[5] : “Regularity theorems for solutions of elliptic polynomial equations,” pp. 225–231 in Global analysis (Berkeley, CA, 1–26 July 1968). Edited by S.-S. Chern and S. Smale. Proceedings of Symposia in Pure Mathematics 16. American Mathematical Society (Providence), 1970. MR 413168 Zbl 0216.38202 incollection

[6] : “Eigenfunctions of Laplace operators,” Bull. Am. Math. Soc. 78 : 6 (November 1972), pp. 1073–1076. MR 319226 Zbl 0275.58003 article

[7] : “Bounded sets and Finsler structures for manifolds of maps,” J. Diff. Geom. 7 : 3–4 (1972), pp. 585–595. MR 334273 Zbl 0307.58007 article

[8] : “Morse theory on Banach manifolds,” J. Funct. Anal. 10 : 4 (August 1972), pp. 430–445. MR 377979 Zbl 0241.58002 article

[9] : “A new proof of a regularity theorem for elliptic systems,” Proc. Am. Math. Soc. 37 : 1 (January 1973), pp. 315–316. MR 315282 Zbl 0249.35026 article

[10] : “The Morse index theorem in Hilbert space,” J. Diff. Geom. 8 : 4 (1973), pp. 555–564. MR 350778 Zbl 0277.58002 article

[11] : “Lorentz geometry,” pp. 235–242 in Global analysis and its applications (Trieste, Italy, 4 July–25 August 1972), vol. 3. IAEA Proceedings Series. International Atomic Energy Agency (Vienna), 1974. MR 443820 Zbl 0303.53027 incollection

[12] : “A Morse theory for geodesics on a Lorentz manifold,” Topology 14 : 1 (March 1975), pp. 69–90. MR 383461 Zbl 0323.58010 article

[13] : “Generic properties of eigenfunctions,” Am. J. Math. 98 : 4 (1976), pp. 1059–1078. MR 464332 Zbl 0355.58017 article

[14]
:
“The existence of minimal immersions of two-spheres,”
Bull. Am. Math. Soc.
83 : 5
(1977),
pp. 1033–1036.
A related article with almost the same title was published in *Ann. Math.* **113**:1 (1981).
MR
448408
Zbl
0375.49016
article

[15] : “Regularity for a class of non-linear elliptic systems,” Acta Math. 138 : 3–4 (1977), pp. 219–240. MR 474389 Zbl 0372.35030 article

[16]
:
“Removable singularities in Yang–Mills fields,”
Bull. Am. Math. Soc. (N.S.)
1 : 3
(May 1979),
pp. 579–581.
A related article with the same title was published in *Comm. Math. Phys.* **83**:1 (1982).
MR
526970
Zbl
0416.35026
article

[17]
:
“The existence of minimal immersions of 2-spheres,”
Ann. Math. (2)
113 : 1
(January 1981),
pp. 1–24.
A related article with almost the same title was published in *Bull. Am. Math. Soc.* **83**:5 (1977).
MR
604040
Zbl
0462.58014
article

[18] : “Morse theory by perturbation methods with applications to harmonic maps,” Trans. Am. Math. Soc. 267 : 2 (1981), pp. 569–583. MR 626490 Zbl 0509.58012 article

[19]
:
“Variational problems for gauge fields,”
pp. 455–464
in
Seminar on differential geometry.
Edited by S.-T. Yau.
Annals of Mathematics Studies 102.
Princeton University Press and University of Tokyo Press,
1982.
A later article with the same title was published in *Proceedings of the International Congress of Mathematicians* (1984).
MR
645753
Zbl
0481.58016
incollection

[20]
:
“Removable singularities in Yang–Mills fields,”
Comm. Math. Phys.
83 : 1
(February 1982),
pp. 11–29.
A related article with the same title was published in *Bull. Am. Math. Soc.* **1**:3 (1979).
MR
648355
Zbl
0491.58032
article

[21]
:
“Connections with __\( L^p \)__ bounds on curvature,”
Comm. Math. Phys.
83 : 1
(February 1982),
pp. 31–42.
MR
648356
Zbl
0499.58019
article

[22] : “Minimal immersions of closed Riemann surfaces,” Trans. Am. Math. Soc. 271 : 2 (1982), pp. 639–652. MR 654854 Zbl 0527.58008 article

[23]
:
“A regularity theory for harmonic maps,”
J. Diff. Geom.
17 : 2
(1982),
pp. 307–335.
A correction to this article was published in *J. Diff. Geom.* **18**:2 (1983).
MR
664498
Zbl
0521.58021
article

[24] : “Equivariant harmonic maps into spheres,” pp. 146–158 in Harmonic maps (New Orleans, 15–19 December 1980). Edited by U. R. J. Knill, M. Kalka, and H. C. J. Sealey. Lecture Notes in Mathematics 949. Springer (New York), 1982. MR 673590 Zbl 0505.58015 incollection

[25] : “Boundary regularity and the Dirichlet problem for harmonic maps,” J. Diff. Geom. 18 : 2 (1983), pp. 253–268. MR 710054 Zbl 0547.58020 article

[26]
:
“Correction to: ‘A regularity theory for harmonic maps’,”
J. Diff. Geom.
18 : 2
(1983),
pp. 329.
Correction to an article published in *J. Diff. Geom.* **17**:2 (1982).
MR
710058
article

[27] : “Conservation laws and their application in global differential geometry,” pp. 103–115 in Emmy Noether in Bryn Mawr (Bryn Mawr, PA, 17–19 March 1982). Edited by B. Srinivasan and J. Sally. Springer (New York), 1983. MR 713794 Zbl 0524.53049 incollection

[28] : “Closed minimal surfaces in hyperbolic 3-manifolds,” pp. 147–168 in Seminar on minimal submanifolds. Edited by E. Bombieri. Annals of Mathematics Studies 103. Princeton University Press, 1983. MR 795233 Zbl 0529.53007 incollection

[29] : “Minimal spheres and other conformal variational problems,” pp. 169–176 in Seminar on minimal submanifolds. Edited by E. Bombieri. Annals of Mathematics Studies 103. Princeton University Press, 1983. MR 795234 Zbl 0535.53050 incollection

[30] : “Regularity of minimizing harmonic maps into the sphere,” Invent. Math. 78 : 1 (February 1984), pp. 89–100. MR 762354 Zbl 0555.58011 article

[31]
:
“Variational problems for gauge fields,”
pp. 585–591
in
Proceedings of the International Congress of Mathematicians,
vol. 2.
Edited by Z. Ciesielski and C. Olech.
PWN (Warsaw),
1984.
An earlier article with the same title was published in *Seminar on differential geometry* (1982).
MR
804715
Zbl
0562.53059
incollection

[32] : “Variational problems in nonabelian gauge theories,” pp. 443–471 in Proceedings of the 1981 Shanghai symposium on differential geometry and differential equations (Shanghai and Hefei, China, 20 August–13 September 1981). Edited by C. Gu. Science Press, 1984. MR 825291 Zbl 0697.58016 incollection

[33] : “The Chern classes of Sobolev connections,” Comm. Math. Phys. 101 : 4 (December 1985), pp. 449–457. MR 815194 Zbl 0586.53018 article

[34]
:
“On the existence of Hermitian-Yang–Mills connections in stable vector bundles,”
pp. S257–S293
in
Proceedings of the Symposium on Frontiers of the Mathematical Sciences: 1985
(New York, October 1985),
published as Comm. Pure Appl. Math.
39 : Supplement S1.
Issue edited by C. Morawetz.
J. Wiley and Sons (New York),
1986.
A note on this article was published in *Commun. Pure Appl. Math.* **42**:5 (1989).
MR
861491
Zbl
0615.58045
incollection

[35] : Instantony i chetyrekhmernye mnogoobraziya [Instantons and four-manifolds]. Mir (Moscow), 1988. Translated from the English and with a preface by Yu. P. Solov’ev. Russian translation of 1984 English original. MR 955496 book

[36]
:
“Moment maps in stable bundles,”
AWM Newsletter
18 : 3
(May–June 1988),
pp. 2.
remarks taken from 1988 Noether Lecture.
Reprinted in *Complexities: Women in mathematics* (2005).
article

[37]
:
“A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles,”
Commun. Pure Appl. Math.
42 : 5
(1989),
pp. 703–707.
A note on an article published in *Commun. Pure Appl. Math.* **39**:S1 (1986).
MR
997570
Zbl
0678.58041
article

[38] : “Harmonic maps into Lie groups (classical solutions of the chiral model),” J. Diff. Geom. 30 : 1 (1989), pp. 1–50. Dedicated to R. F. Williams. MR 1001271 Zbl 0677.58020 article

[39] : “Commentary on ‘analysis in the large’,” pp. 357–359 in A century of mathematics in America, part 2. Edited by P. L. Duren, R. Askey, and U. C. Merzbach. History of Mathematics 2. American Mathematical Society (Providence, RI), 1989. MR 1003144 incollection

[40] : “Solutions to Yang–Mills equations that are not self-dual,” Proc. Natl. Acad. Sci. U.S.A. 86 : 22 (November 1989), pp. 8610–8613. MR 1023811 Zbl 0731.53031 article

[41]
:
Applications of nonlinear analysis in topology,
1990.
60 minute videocassette, American Mathematical Society ICM Series.
A plenary address presented at the International Congress of Mathematicians held in Kyoto, August 1990.
This was published as an article in *Proceedings of the International Congress of Mathematicians* (1990).
MR
1127164
misc

[42] : Instantons and four-manifolds, 2nd edition. Mathematical Sciences Research Institute Publications 1. Springer (New York), 1991. MR 1081321 Zbl 0559.57001 book

[43] : “Applications of nonlinear analysis in topology,” pp. 261–279 in Proceedings of the International Congress of Mathematicians (Kyoto, 21–29 August 1990), vol. 1. Edited by I. Satake. Mathematical Society of Japan (Tokyo), 1991. A video recording of this plenary address was published in 1990. MR 1159217 Zbl 0753.53001 incollection

[44] : “On the connection between harmonic maps and the self-dual Yang–Mills and the sine-Gordon equations,” J. Geom. Phys. 8 : 1–4 (March 1992), pp. 283–316. MR 1165884 Zbl 0747.58025 article

[45] : “Instantons and their relatives,” pp. 467–477 in Mathematics into the twenty-first century (Providence, RI, 8–12 August 1988). Edited by F. E. Browder. American Mathematical Society Centennial Publications 2. American Mathematical Society (Providence, RI), 1992. MR 1184623 Zbl 1073.53505 incollection

[46] Global analysis in modern mathematics: Proceedings of the symposium in honor of Richard Palais’ sixtieth birthday (Orono, ME, 8–10 August 1991 and Waltham, MA, 12 August 1992). Edited by K. Uhlenbeck. Publish or Perish (Houston, TX), 1993. MR 1278744 Zbl 0920.00058 book

[47] : “Preface. Global analysis: A subject before its time,” pp. vii–xvii in Global analysis in modern mathematics: A symposium in honor of Richard Palais’ sixtieth birthday (Orono, ME, 8–10 August 1991 and Waltham, MA, 12 August 1992). Edited by K. Uhlenbeck. Publish or Perish (Houston, TX), 1993. MR 1278745 incollection

[48] : “Responses to ‘Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics’, by A. Jaffe and F. Quinn,” Bull. Am. Math. Soc., New Ser. 30 : 2 (April 1994), pp. 178–207. Zbl 0803.01014 ArXiv math/9404229 article

[49] : “An application of transversality to the topology of the moduli space of stable bundles,” Topology 34 : 1 (January 1995), pp. 203–215. MR 1308496 Zbl 0835.58005 article

[50] Geometry and quantum field theory (Park City, UT, 22 June–20 July 1991). Edited by D. S. Freed and K. K. Uhlenbeck. IAS/Park City Mathematics Series 1. American Mathematical Society (Providence, RI), 1995. MR 1338390 Zbl 0819.00004 book

[51] : “Moduli of extensions of holomorphic bundles on Kähler manifolds,” Comm. Anal. Geom. 3 : 3–4 (1995), pp. 479–522. MR 1371207 Zbl 0852.58014 article

[52] : “Connected sum constructions for constant scalar curvature metrics,” Topol. Methods Nonlinear Anal. 6 : 2 (1995), pp. 207–233. Dedicated to Louis Nirenberg on the occasion of his 70th birthday. MR 1399537 Zbl 0866.58069 article

[53] : “Adiabatic limits and moduli spaces,” Notices Am. Math. Soc. 42 (1995), pp. 41–42. This is one section of larger article, “A celebration of women in mathematics”. article

[54] : “Moduli spaces of singular Yamabe metrics,” J. Am. Math. Soc. 9 : 2 (1996), pp. 303–344. MR 1356375 Zbl 0849.58012 article

[55]
:
“Coming to grips with success: A profile of Karen Uhlenbeck,”
Math Horizons
3 : 4
(1996).
Also pubished in *Journeys of women in science and engineering* (1997).
article

[56] : “Karen Uhlenbeck (1942–),” pp. 25–46 in Women in mathematics: The addition of difference. Indiana University Press (Bloomington and Indianapolis, IN), 1997. incollection

[57]
:
“Karen Uhlenbeck,”
pp. 395–398
in
Journeys of women in science and engineering: No universal constants.
Edited by S. Ambrose, K. L. Dunkle, B. B. Lazarus, I. Nair, and D. A. Harkus.
Labor & Social Change 71.
Temple University Press (Philadelphia),
1997.
Also published in *Math Horizons* **3**:4 (1996).
incollection

[58] Geometry, topology and physics: Proceedings of the first Brazil–USA workshop (Campinas, Brazil, 30 June–7 July 1996). Edited by B. N. Apanasov, S. B. Bradlow, W. A. Rodrigues, Jr., and K. K. Uhlenbeck. de Gruyter (Berlin), 1997. MR 1605264 Zbl 0883.00022 book

[59] Integral systems. Edited by C.-L. Terng and K. Uhlenbeck. Surveys in Differential Geometry 4. International Press (Cambridge, MA), 1998. MR 1726558 Zbl 0918.00013 book

[60] : “Poisson actions and scattering theory for integrable systems,” pp. 315–402 in Integral systems. Edited by C.-L. Terng and K. Uhlenbeck. Surveys in Differential Geometry 4. International Press (Boston), 1998. MR 1726931 Zbl 0935.35163 ArXiv dg-ga/9707004 incollection

[61] : “Karen Uhlenbeck,” pp. 261–266 in Notable women in mathematics: A biographical dictionary. Edited by C. Morrow and T. Perl. Greenwood Press (Westport, CT), 1998. incollection

[62] : “Introduction,” pp. 5–19 in Integral systems. Edited by C.-L. Terng and K. Uhlenbeck. Surveys in Differential Geometry 4. International Press (Cambridge, MA), 1998. Zbl 0938.35182 incollection

[63] : “Bäcklund transformations and loop group actions,” Comm. Pure Appl. Math. 53 : 1 (2000), pp. 1–75. MR 1715533 Zbl 1031.37064 article

[64] : “Geometry of solitons,” Notices Am. Math. Soc. 47 : 1 (2000), pp. 17–25. cover article. MR 1733063 Zbl 0987.37072 article

[65] : “Schrödinger maps,” Comm. Pure Appl. Math. 53 : 5 (2000), pp. 590–602. MR 1737504 Zbl 1028.35134 article

[66] : “Regularity of weak solutions to critical exponent variational equations,” Math. Res. Lett. 7 : 5–6 (2000), pp. 651–656. MR 1809291 Zbl 0977.58020 article

[67] “Two mathematicians awarded National Medals of Science,” MAA FOCUS 21 : 1 (January 2001), pp. 3. article

[68]
:
“Uhlenbeck receives National Medal of Science,”
AWM Newsletter
31 : 1
(January–February 2001),
pp. 9–10.
Reprinted in *Complexities: Women in mathematics* (2005).
article

[69]
:
“On Schrödinger maps,”
Comm. Pure Appl. Math.
56 : 1
(2003),
pp. 114–151.
An erratum was published in *Comm. Pure Appl. Math.* **57**:6 (2004).
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1929444
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1028.58018
article

[70] : “On the well-posedness of the wave map problem in high dimensions,” Comm. Anal. Geom. 11 : 1 (2003), pp. 49–83. MR 2016196 Zbl 1085.58022 article

[71] Lectures on geometry and topology held in honor of Calabi, Lawson, Siu, and Uhlenbeck (Cambridge, MA, 3–5 May 2002). Edited by S.-T. Yau. Surveys in Differential Geometry 8. International Press (Somerville, MA), 2003. Zbl 1034.53003 book

[72]
:
“Erratum: ‘On Schrödinger maps’,”
Comm. Pure Appl. Math.
57 : 6
(2004),
pp. 833–839.
Erratum to article published in *Comm. Pure Appl. Math.* **56**:1 (2003).
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[73]
:
“__\( 1+1 \)__ wave maps into symmetric spaces,”
Comm. Anal. Geom.
12 : 1–2
(2004),
pp. 345–388.
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[74] : “Schrödinger flows on Grassmannians,” pp. 235–256 in Integrable systems, geometry, and topology. Edited by C.-L. Terng. AMS/IP Studies in Advanced Mathematics 36. American Mathematical Society (Providence, RI), 2006. MR 2222517 Zbl 1110.37056 ArXiv math/9901086 incollection

[75] : “On the space-time monopole equation,” pp. 1–30 in Essays in geometry in memory of S. S. Chern. Edited by S.-T. Yau. Surveys in Differential Geometry 10. International Press (Somerville, MA), 2006. MR 2408220 Zbl 1157.53016 incollection

[76]
:
“Moment maps in stable bundles,”
pp. 193–195
in
Complexities: Women in mathematics.
Edited by B. A. Case and A. Leggett.
Princeton University Press,
2006.
Based on a piece published in *AWM Newsletter* **18**:3 (1988).
incollection

[77]
:
“Uhlenbeck receives National Medal of Science,”
pp. 195–196
in
Complexities: Women in mathematics.
Edited by B. A. Case and A. Leggett.
Princeton University Press,
2006.
Reprinted from *AWM Newsletter* **31**:1 (2001).
incollection

[78] : “Moduli space theory for constant mean curvature surfaces immersed in space-forms,” Comm. Anal. Geom. 15 : 2 (2007), pp. 299–305. MR 2344325 Zbl 1136.53048 ArXiv math/0611295 article

[79] “2007 Steele Prizes,” Notices Am. Math. Soc. 54 : 4 (April 2007), pp. 514–518. Zbl 1142.01310 article

[80] : “Virasoro actions and harmonic maps (after Schwarz),” J. Diff. Geom. 80 : 2 (2008), pp. 327–341. MR 2454896 Zbl 1153.53046 article

[81]
:
“The __\( n{\times}n \)__ KdV hierarchy,”
J. Fix. Point Theory A.
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(2011),
pp. 37–61.
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[82] : “Geometric aspects of the Kapustin–Witten equations,” J. Fix. Point Theory Ap. 11 : 2 (2012), pp. 185–198. MR 3000667 Zbl 1260.53002 article

[83] Regularity and evolution of nonlinear equations: Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck. Edited by H.-D. Cao, R. Schoen, and S.-T. Yau. Surveys in Differential Geometry 19. International Press (Somerville, MA), 2015. MR 3380570 Zbl 1317.53001 book

[84]
:
“Tau function and Virasoro action for the __\( n{\times}n \)__ KdV hierarchy,”
Comm. Math. Phys.
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(2016),
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[85] : “Tau functions and Virasoro actions for soliton hierarchies,” Comm. Math. Phys. 342 : 1 (2016), pp. 117–150. MR 3455147 Zbl 1346.37058 article