Peter Li (mathematician) explained

Peter Wai-Kwong Li
Birth Date:18 April 1952
Fields:Mathematics
Workplaces:University of California, Irvine
Education:California State University, Fresno
University of California, Berkeley
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Doctoral Advisor:Shiing-Shen Chern
Henderson Chik-Hing Yeung
Awards:Guggenheim Fellowship
Sloan Research Fellowship
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Peter Wai-Kwong Li (born 18 April 1952) is an American mathematician whose research interests include differential geometry and partial differential equations, in particular geometric analysis. After undergraduate work at California State University, Fresno, he received his Ph.D. at University of California, Berkeley under Shiing-Shen Chern in 1979.[1] Presently he is Professor Emeritus at University of California, Irvine,[2] where he has been located since 1991.

His most notable work includes the discovery of the Li–Yau differential Harnack inequalities, and the proof of the Willmore conjecture in the case of non-embedded surfaces, both done in collaboration with Shing-Tung Yau. He is an expert on the subject of function theory on complete Riemannian manifolds.

He has been the recipient of a Guggenheim Fellowship in 1989[3] and a Sloan Research Fellowship.[4] In 2002, he was an invited speaker in the Differential Geometry section of the International Congress of Mathematicians in Beijing,[5] where he spoke on the subject of harmonic functions on Riemannian manifolds. In 2007, he was elected a member of the American Academy of Arts and Sciences,[6] which cited his "pioneering" achievements in geometric analysis, and in particular his paper with Yau on the differential Harnack inequalities, and its application by Richard S. Hamilton and Grigori Perelman in the proof of the Poincaré conjecture and Geometrization conjecture.[7]

Notable publications

See also

External links

Notes and References

  1. Web site: Mathematics Genealogy Project . www.genealogy.math.ndsu.nodak.edu. 2020-07-04.
  2. Web site: Peter Li . math.uci.edu . 2008-06-27 . 2020-07-04.
  3. Web site: John Simon Guggenheim Foundation | Fellows.
  4. Web site: Past Fellows . Home . 2020-07-04.
  5. Li. Peter. 2002. Differential geometry via harmonic functions. Proceedings of the International Congress of Mathematicians, Beijing 2002. 293.
  6. Web site: Members. American Academy of Arts & Sciences.
  7. Web site: Peter Wai-Kwong Li, member page . American Academy of Arts & Sciences.

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