Richard P. Stanley
Richard Peter Stanley ( born June 23, 1944 in New York City ) is an American mathematician who is a leading scientist in the field of combinatorics.
Life and work
Stanley graduated in 1962 from Savannah High School, studied at Caltech (Bachelor 1966) and in 1971 at Harvard University in Gian-Carlo Rota doctorate ( Ordered Structures and Partitions. Memoirs of the AMS, 1972). At the same time, he was from 1965 to 1969, scientists at the Jet Propulsion Laboratory in California, 1968-1970 Teaching Assistant at Harvard. 1970/71 he was a Moore Instructor at Massachusetts Institute of Technology (MIT ) and then to 1973 Miller Research Fellow at the University of California, Berkeley. In 1973 he was an assistant professor at MIT, 1975 Associate Professor and in 1979 professor of applied mathematics at MIT. From 2000, he is there Norman Levinson Professor of Applied Mathematics. He had guest professorships, among others, in Stockholm ( Mittag-Leffler Institute and Institute of Technology), Augsburg, Japan, Berkeley ( Mathematical Sciences Research Institute, MSRI ), Harvard, Strasbourg and San Diego. Since 2003 he was also a scientist at the Clay Research Academy.
Stanley was mainly interested in combinatorics and their applications, for example in commutative algebra, representation theory and algebraic geometry. It is mainly used for work on convex polyhedron (need a condition of Peter McMullen to characterize the vector of a simplicial polyhedron, the number of patches on the dimension enumerates ) and enumerative combinatorics known, not least through his textbook. Infamous is an exercise that will handle 66 applications of the Catalan numbers in combinatorics (now expanded to over 160 on his web site ).
In 1975 he was awarded the Pólya Prize of the Society for Industrial and Applied Mathematics ( SIAM ), 2003 Rolf Schock Prize and the Leroy P. Steele Prize in 2001 ( for Enumerative combinatorics ). 1983/84 he was a Guggenheim Fellow. He is a member of the National Academy of Sciences (since 1995 ) and the Academy of Arts and Sciences. 1983 ( Combinatorial applications of the hard Lefschetz theorem ) and 2006 ( Plenary Lecture: Increasing and Decreasing Subsequences and Their Variants ) he was invited speaker at the International Congress of Mathematicians (ICM). He is a Fellow of the American Mathematical Society.
He works in 2007 with Noam Elkies on a book about chess and mathematics.
Writings
- Enumerative Combinatorics. 2 vols, 2nd edition Cambridge University Press 1997 ( first Wadsworth and Brooks / Cole, 1986), ISBN 0-521-55309-1, ISBN 0-521-56069-1.
- Combinatorics and commutative algebra. Birkhäuser 1983, 2nd edition 1996
- Hipparchus, Plutarch, Schröder and Hough. American Mathematical Monthly, Bd.104, 1997, p.344 ( on a remark by Plutarch, that composed of 10 elementary over 1 million propositions can be made)