Number Theory Seminar
Date: March 10, 2022
Time: 10:00AM - 11:00AM
Location: BLOC 302
Speaker: Madeline Locus Dawsey, University of Texas at Tyler
Title: A new partition statistic
Abstract: Partition theory has traditionally revolved around the size statistic for partitions and the partition function p(n), which counts the number of partitions of size n. In recent work with Just, Schneider, and Sharp, I have explored a new perspective on partitions that focuses more on multiplicative aspects of partitions than their classical additive structure. In this talk, I will give a short overview of partitions from an additive standpoint and then define a new, multiplicative partition statistic called the ``supernorm." I will also present several different applications of the supernorm in combinatorics, analytic number theory, and algebraic number theory.