UNCW Mathematics Seminar

Math Department Bear Hall 201D 

Friday Frebrary 13 Bear Hall
201D 2:00pm
Title: The MultiFaceted Area of Additive Combinatorics
Speaker: Dr. Michael Freeze
Abstract:
Consider the following elementary assertions:
1. Take any 5 integers. There is some subset of those integers whose sum is
divisible by 5.
2. Take any 9 integers. There is some subset of exactly 5 of those integers
whose sum is divisible by 5.
3. Take any two polynomials with coefficients from a finite field, each in 9
variables, whose combined degree is less than 9. There is a nontrivial
simultaneous solution.
We consider the relationships among these assertions, describe their connection
to problems of interest in nonunique factorization theory, and highlight the
intersection of these problems with multiple active research areas at the
interface of disciplines within and beyond mathematics.