When does a majority exist? How does the geometry of the political spectrum influence the outcome? What does mathematics have to say about how people behave?

When mathematical objects have a social interpretation, the associated results have social applications.  We will show how some classical mathematics about the geometry of sets can be used to understand voting in agreeable societies. This talk also features research with undergraduates.

Dr. Francis Su (Harvey Mudd College) is the current president of the Mathematical Association of America.