Math Club - Fall 2019 Events
Vertically Aligned Entries in Pascal's Triangle and Connections to Number Theory
Speaker: Professor Heidi Goodson
Tuesday, October 22
12:30–1:30 p.m.
1141 Ingersoll Hall
Event Flier
Join the Mathematics Club for a fun talk on Pascal's Triangle and Number Theory given to us by Professor Heidi Goodson. She will be going over a theorem she found and proved about a linear dependence for the vertically aligned columns for Pascal's triangle. She will then show its application to number theory and end with some of her research in hyperelliptic curves. For more information about the talk, see the abstract below. Kosher pizza and soda will be served.
Abstract: The classic way to write down Pascal's triangle leads to entries in alternating rows being vertically aligned. In this talk, I'll explain and prove a linear dependence on vertically aligned entries in Pascal's triangle. Furthermore, I'll show how this result is related to a problem in number theory. Specifically, I'll explain how a search for morphisms (functions) between hyperelliptic curves led to the discovery of this identity.
