Estella 1021 (Emmy Noether Room), Pomona College

Given a polynomial defined over a field $K$, you can build an extension of $K_\infty / K$ by adjoining inverse images of some point $\alpha \in K$. The behavior of these extensions (including the degree , ramification, and associated Galois representations) are surprisingly different in the cases that $K$ is a number field versus a […]

The Jones Polynomial is an important invariant of knots with applications in physics, quantum computation and more. In this talk I will introduce a family of generalizations of the Jones […]