## Peter W. Li

Professor Emeritus, Mathematics

School of Physical Sciences

School of Physical Sciences

Ph.D., University of California, Berkeley, 1979, Mathematics

Phone: (949) 824-7049

Fax: (949) 824-7993

Email: pli@uci.edu

University of California, Irvine

410B Rowland Hall

Mail Code: 3875

Irvine, CA 92697

**Research Interests**

Differential geometry and partial differential equations

**URL**

**Academic Distinctions**

Fellow of the American Academy of Arts and Sciences.

ISI highly cited researcher (2002).

Invited speaker at the International Congress of Mathematicians,

Beijing (2002).

John Simon Guggenheim Fellowship (1989-1990).

Alfred P. Sloan Fellowship (1982-1983).

ISI highly cited researcher (2002).

Invited speaker at the International Congress of Mathematicians,

Beijing (2002).

John Simon Guggenheim Fellowship (1989-1990).

Alfred P. Sloan Fellowship (1982-1983).

**Appointments**

1991-2012: Professor, Department of Mathematics, UC Irvine.

1989-1991: Professor, University of Arizona. 1985-1989:

Professor, University of Utah. 1982-1985: Associate Profesor,

Purdue University. 1980-1983: Assistant Professor, Stanford

University. 1979-1980: Research Member, Institute for Advanced

Study.

1989-1991: Professor, University of Arizona. 1985-1989:

Professor, University of Utah. 1982-1985: Associate Profesor,

Purdue University. 1980-1983: Assistant Professor, Stanford

University. 1979-1980: Research Member, Institute for Advanced

Study.

**Research Abstract**

Primary research interest is in geometric analysis. In particular, the application of partial differential equations to the study of geometry. Topics of current research include eigenvalue problems on compact Riemannian manifolds, harmonic functions and the heat equation on complete manifolds, harmonic mappings between complete manifolds, analysis on singular algebraic varieties, and the prescribed curvature equation.

Publications

(with L. F. Tam) "Harmonic functions and the structure of complete

manifolds". J. Diff. Geom. 35 (1992), pp 359-383.

manifolds". J. Diff. Geom. 35 (1992), pp 359-383.

**
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"Harmonic sections of polynomial growth". Math. Research Letters

4 (1997), pp 35-44.

4 (1997), pp 35-44.

**
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(with J. Wang) "Convex hull properties of harmonic maps". J. Diff.

Geom. 48 (1998), pp 497-530.

Geom. 48 (1998), pp 497-530.

**
**

(with J. Wang) "Counting dimensions of L-harmonic functions".

Annals Math. 152 (2000), pp 645-658.

Annals Math. 152 (2000), pp 645-658.

**
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(with J. Wang) "Counting massive sets and dimensions of

harmonic functions". J. Diff. Geom. 53 (1999), pp 237-278.

harmonic functions". J. Diff. Geom. 53 (1999), pp 237-278.

**
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(with J. Wang) "Holder estimates and regularity for holomorphic

and harmonic functions". J. Diff. Geom. 58 (2001), 309-329.

and harmonic functions". J. Diff. Geom. 58 (2001), 309-329.

**
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(with J. Wang) "Minimal hypersurfaces with finite index". Math.

Research LettersĀ 9 (2002), 95-103.

Research LettersĀ 9 (2002), 95-103.

**
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(with J. Wang) "Finiteness of disjoint minimal graphs". Math.

Research Letters 8 (2001), 771-777.

Research Letters 8 (2001), 771-777.

**
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(with J. Wang) "Complete manifolds with positive spectrum".

J. Diff. Geom. 58 (2001), 501-534.

J. Diff. Geom. 58 (2001), 501-534.

**
**

"Differential geometry via harmonic functions". Proc. ICM 2002 -

Beijing Vol. II (2002), 293-302.

Beijing Vol. II (2002), 293-302.

**Professional Societies**

American Mathematical Society

American Academy of Arts and Sciences

American Academy of Arts and Sciences

**Link to this profile**

**Last updated**

02/19/2013