**University of Miami**

Department of Mathematics

Department of Mathematics

**Lecture SeriesSpring Semester 2019**

**Commutative Algebra and Simplicial Complexes**

**presented by**

**Professor Richard Stanley**

*Arts and Sciences Distinguished Scholar*

University of Miami

Ungar Building, Room 506

1:00pm

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*

*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.