You are cordially invited to the Department of Mathematics Colloquium
Speaker: Richard Stanley (Massachusetts Institute of Technology and University of Miami)
“Some combinatorial applications of cyclotomic polynomials”
Abstract: We begin with three combinatorial results involving (1) partition identities, (2) counting polynomials over finite fields, and (3) expressing Dirichlet series in terms of the Riemann zeta function. These results can be unified using free monoids and extended using cyclotomic polynomials. There is also a connection with numerical semigroups (submonoids M of the nonnegative integers N under addition such that N-M is finite).
Date: Wednesday, March 26, 2025
Time: 15:40-16:40
Place: Zoom and Mathematics Seminar Room, SA-141
To request the Zoom link, please send an email to gokhan.yildirim@bilkent.edu.tr
Light refreshments will be served prior to the seminar.
Richard P. Stanley is a distinguished mathematician and a leading figure in algebraic combinatorics. He is the Emeritus Norman Levinson Professor of Applied Mathematics at the Massachusetts Institute of Technology (MIT), where he taught and conducted research for several decades. His work has had a profound and lasting impact on a broad range of mathematical areas, including enumerative combinatorics, invariant theory, commutative algebra, and the theory of partially ordered sets (posets). His contributions have been instrumental in bridging the gap between algebra, geometry, and combinatorics, influencing a wide spectrum of mathematical research.
Throughout his career, Stanley has received numerous prestigious awards and honors, including the Leroy P. Steele Prize for Mathematical Exposition from the American Mathematical Society, the Rolf Schock Prize in Mathematics, and the George Pólya Prize. He is a member of the National Academy of Sciences and a fellow of the American Mathematical Society.
Stanley is the author of the seminal two-volume book Enumerative Combinatorics, which is widely regarded as one of the most important texts in the field. In addition to his scholarly work, Stanley has mentored many students who have gone on to make significant contributions to mathematics, cementing his legacy as a leading mathematician and educator.