Eric Rowland (Hofstra 카지노게임사이트)

Math & Stats Department Colloquium

Friday, September 24th, 2021

Time: 2:30 p.m.  Place: Online (via Zoom)

Speaker: Eric Rowland (Hofstra 카지노게임사이트)

Title: Congruences for some sequences arising in combinatorics.

Abstract: Over the last 15 years there have been a number of papers studying congruence properties of sequences such as the Catalan numbers that arise in combinatorial settings. Proofs of these properties have relied on methods particular to each sequence. However, by realizing a sequence as the diagonal of a rational power series in multiple variables, we can compute congruence information modulo prime powers in a completely automatic way. This approach reduces the proofs of many known results to routine computations, establishes new theorems for well-known sequences, and allows us to resolve some conjectures about the Apery numbers.

Eric Rowland is an Associate Professor of Mathematics at Hofstra 카지노게임사이트. Before joining Hofstra, he held postdoctoral positions at Tulane 카지노게임사이트, the 카지노게임사이트 of Waterloo, the 카지노게임사이트 of Quebec at Montreal, and the 카지노게임사이트 of Liege. He got his Ph.D. in Mathematics in 2009 from Rutgers 카지노게임사이트. He studies arithmetic properties of integer sequences that arise in combinatorial settings. His research involves a nice mix of number theory, combinatorics, and theoretical computer science.