| 词条 | Richard Schoen |
| 释义 |
| name = Richard Schoen | image = Richard Schoen.jpeg | image_size = 250 | alt = | caption = Richard Schoen in 1976 (photo by George Bergman) | birth_date = {{Birth date and age|1950|10|23|mf=y}} | birth_place = Fort Recovery, Ohio[1] | death_date = | death_place = | nationality = American | fields = Mathematics | workplaces = Stanford University University of California, Berkeley University of California, Irvine | alma_mater = Stanford University | doctoral_advisor = Leon Simon Shing-Tung Yau | doctoral_students = Hubert Bray José F. Escobar Ailana Fraser William Minicozzi André Neves | known_for = Differentiable sphere theorem Schoen–Yau conjecture Solution of positive mass conjecture | awards = Bôcher Memorial Prize (1989) Wolf Prize (2017) Heinz Hopf Prize (2017) Lobachevsky Prize (2017)[2] Rolf Schock Prize (2017)[3] }} Richard Melvin Schoen (born October 23, 1950) is an American mathematician known for his work in differential geometry. Born in Celina, Ohio, and a 1968 graduate of Fort Recovery High School, he received his B.S. from the University of Dayton in mathematics. He then received his PhD in 1977 from Stanford University and is currently an Excellence in Teaching Chair at the University of California, Irvine. His surname is pronounced "Shane," perhaps as a reflection of the regional dialect spoken by some of his German ancestors. ContributionsSchoen has investigated the use of analytic techniques in global differential geometry. In 1979, together with his former doctoral supervisor, Shing-Tung Yau, he proved the fundamental positive energy theorem in general relativity. In 1983, he was awarded a MacArthur Fellowship, and in 1984, he obtained a complete solution to the Yamabe problem on compact manifolds. This work combined new techniques with ideas developed in earlier work with Yau, and partial results by Thierry Aubin and Neil Trudinger. The resulting theorem asserts that any Riemannian metric on a closed manifold may be conformally rescaled (that is, multiplied by a suitable positive function) so as to produce a metric of constant scalar curvature. In 2007, Simon Brendle and Richard Schoen proved the differentiable sphere theorem, a fundamental result in the study of manifolds of positive sectional curvature. He has also made fundamental contributions to the regularity theory of minimal surfaces and harmonic maps. His students include Ailana Fraser, Hubert Bray, José F. Escobar and William Minicozzi II[4]. Awards and honorsFor his work on the Yamabe problem, Schoen was awarded the Bôcher Memorial Prize in 1989. He joined the American Academy of Arts and Sciences in 1988 and the National Academy of Sciences in 1991, and won a Guggenheim Fellowship in 1996. In 2012 he became a fellow of the American Mathematical Society.[5] In 2015, he was elected Vice President of the American Mathematical Society.[6] He received the Wolf Prize in Mathematics for 2017, shared with Charles Fefferman.[7] Selected publications
References1. ^{{cite web|title=Richard Melvin Schoen|url=http://www-history.mcs.st-andrews.ac.uk/Biographies/Schoen.html|publisher=School of Mathematics and Statistics University of St Andrews, Scotland|accessdate=6 January 2017}} 2. ^{{Cite web | url=http://kpfu.ru/eng/news-eng/richard-schoen-lobachevsky-medal-2017.html | title=Richard Schoen Announced as the Winner of the 2017 Lobachevsky Medal and Prize}} 3. ^http://www.rolfschockprizes.se/download/18.39ee338a159fb6d5d78e05/1489565086195/pop_matematik_en_170314_FINAL.pdf 4. ^{{Cite web|url=https://www.genealogy.math.ndsu.nodak.edu/id.php?id=32919|title=Richard Schoen - The Mathematics Genealogy Project|website=www.genealogy.math.ndsu.nodak.edu|access-date=2019-03-12}} 5. ^List of Fellows of the American Mathematical Society, retrieved 2013-07-14. 6. ^{{cite web|url=http://www.ams.org/about-us/governance/elections/election-results|title=American Mathematical Society|accessdate=25 May 2016}} 7. ^The Wolf Foundation – "Richard Schoen Winner of Wolf Prize in Mathematics - 2017" External links
14 : 1950 births|Members of the United States National Academy of Sciences|20th-century American mathematicians|21st-century American mathematicians|Differential geometers|Living people|MacArthur Fellows|Stanford University alumni|Stanford University Department of Mathematics faculty|Fellows of the American Mathematical Society|Guggenheim Fellows|Fellows of the American Academy of Arts and Sciences|Mathematicians from Ohio|People from Fort Recovery, Ohio |
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