Lecture Series by Richard Stanley 2019

University of Miami
Department of Mathematics

Lecture Series
Spring Semester 2019

Commutative Algebra and Simplicial Complexes

presented by

Professor Richard Stanley

Arts and Sciences Distinguished Scholar
University of Miami

Ungar Building, Room 506

Friday, February 15, 2019
Friday, February 22, 2019
Friday, March 1, 2019
Friday, March 8, 2019
Friday, March 22, 2019
Friday, March 29, 2019

The primary purpose of these lectures is to present a significant application of commutative algebra to the counting of faces of a simplicial complex, using only mathematics that is known to a first-year graduate student. No knowledge of combinatorics and simplicial complexes is assumed, and only a basic knowledge of ring theory (definition of ideal, quotient ring, etc.). A lot of background material will be developed to help motivate the main results and make them more comprehensible.

Richard P. Stanley
Member of the National Academy of Sciences

Richard Stanley has been a College of Arts and Sciences Distinguished Scholar in Mathematics at the University of Miami since 2014. He was the Norman Levinson Professor of Applied Mathematics at MIT and has been Professor Emeritus there since 2018. Professor Stanley's pioneering contributions to combinatorics and its connections with other areas of mathematics revolutionized the field. He was awarded the George Pólya Prize in Applied Combinatorics in 1975 from the Society of Industrial and Applied Mathematics, the Leroy P. Steele Prize in 2001 from the American Mathematical Society, and the Rolf Schock Prize in Mathematics in 2003 from the Royal Swedish Academy of Sciences. Professor Stanley held a Guggenheim Fellowship and is a fellow of the American Academy of Arts & Sciences and a member of the National Academy of Sciences.