Richard Stanley


Richard Stanley was named Clay Senior Scholar at the Park City Mathematics Institute (IAS/PCMI) program on Geometric Combinatorics (July 2004). His public lecture on tilings was held on July 16, 2004 and is available in pdf form here.


Richard Stanley is currently the Norman Levinson Professor of Applied Mathematics at M.I.T. His main research interest is combinatorics and its connection with such other areas of mathematics as algebraic topology, commutative algebra, and representation theory.

Dr. Stanley received his B.S. from Caltech and Ph.D. from Harvard University, under the direction of Gian-Carlo Rota of M.I.T. He received the George Pólya Prize in Applied Combinatorics in 1975 from the Society of Industrial and Applied Mathematics, the Leroy P. Steele Prize for Mathematical Exposition in 2001 from the American Mathematical Society, and the Rolf Schock Prize in 2003 from the Swedish Academy of Sciences. He held a Guggenheim Fellowship and is a member of the American Academy of Arts and Sciences and the National Academy of Sciences. Since 2003 he has been a Clay Academy Scholar, directing the study and research of Junior Fellows at the Clay Research Academy.

Dr. Stanley is the author of Combinatorics and Commutative Algebra and Enumerative Combinatorics, vols. 1 and 2. He maintains on his web page a dynamic list of exercises related to Catalan numbers, including over 120 combinatorial interpretations. Currently he is working on a textbook on hyperplane arrangments and on a book with Noam Elkies entitled Chess and Mathematics.

Richard Stanley at the Clay Research Academy, March 2004



Tilings, by Federico Ardila and Richard Stanley