Bruce Kleiner

American mathematician From Wikipedia, the free encyclopedia

Bruce Kleiner

Bruce Alan Kleiner is an American mathematician, working in differential geometry and topology and geometric group theory.

Quick Facts Nationality, Alma mater ...
Bruce Kleiner
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Bruce Kleiner in Oberwolfach, 2004
NationalityAmerican
Alma materUniversity of California, Berkeley
AwardsNAS Award for Scientific Reviewing (2013)[1]
Simons Fellow in Mathematics (2014)[2]
Scientific career
FieldsMathematics
InstitutionsNew York University
Doctoral advisorWu-Yi Hsiang
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He received his Ph.D. in 1990 from the University of California, Berkeley. His advisor was Wu-Yi Hsiang. Kleiner is a professor of mathematics at New York University.

Kleiner has written expository papers on the Ricci flow. Together with John Lott of the University of Michigan, he filled in details of Grigori Perelman's proof of the Geometrization conjecture (from which the Poincaré conjecture follows) in the years 2003–2006. Theirs was the first publication acknowledging Perelman's accomplishment (in May, 2006), which was shortly followed by similar papers by Huai-Dong Cao and Xi-Ping Zhu (in June) and John Morgan and Gang Tian (in July).

Kleiner found a relatively simple proof of Gromov's theorem on groups of polynomial growth. He also proved the Cartan–Hadamard conjecture in dimension 3.

References

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