yums seminar series
Everything is Connected: A Tour of Methods in Combinatorics
In undergraduate math classes, we learn about the important theorems and methods for tackling problems in a given field - probability, algebra, combinatorics, topology, number theory. In math graduate school, we choose one of these as a specialty and become experts on a subtopic (or subsubsubtopic) within that field. But how do the broad areas of math relate to each other? What can we learn from people outside our specialty? I’ll discuss some examples of how my field, combinatorics, has utilized techniques from the other areas of math mentioned above, and what mathematicians can learn from STEM, art, and society at large.