Tag Archives: Richard Stanley

Happy Birthday Richard Stanley!

Posted on June 27, 2014 by

This week we are celebrating in Cambridge MA , and elsewhere in the world, Richard Stanley’s birthday.  For the last forty years, Richard has been one of the very few leading mathematicians in the area of combinatorics, and he found deep, profound, and … Continue reading →

Posted in Combinatorics, Conferences, Happy birthday | Tagged | 4 Comments

Richard Stanley: How the Proof of the Upper Bound Theorem (for spheres) was Found

Posted on September 10, 2013 by

The upper bound theorem asserts that among all d-dimensional polytopes with n vertices, the cyclic polytope maximizes the number of facets (and k-faces for every k). It was proved by McMullen for polytopes in 1970, and by Stanley for general triangulations … Continue reading →

Posted in Combinatorics, Convex polytopes | Tagged , | 2 Comments

(Eran Nevo) The g-Conjecture II: The Commutative Algebra Connection

Posted on April 9, 2009 by

Richard Stanley This post is authored by Eran Nevo. (It is the second in a series of five posts.) The g-conjecture: the commutative algebra connection Let be a triangulation of a -dimensional sphere. Stanley’s idea was to associate with a ring … Continue reading →

Posted in Combinatorics, Convex polytopes, Open problems | Tagged , , , , | 7 Comments