I am an Associate Professor of Mathematics at the University of Oregon. My research interests are mathematical statistical physics and number theory.
I teach in the Clark Honors College.
I am currently the President of United Academics of the University of Oregon. I was the President of the University Senate 2017-2018.
Here we investigate the algebraic and geometric properties of the $p$-adic numbers.
Notes on the places of $\mathbb Q$ and the analytic construction of the $p$-adic numbers.
Here I am storing various basic facts about Number Fields that are useful in other notes. I hope this becomes more complete as time goes on.
This is a brief reminder of the main ideas of Galois theory.
A note on how measures on pro finite completions of trees yield metrics.
For my project I have created a mandala garden that is both functional and aesthetically pleasing according to mathematical principles, chiefly the Fibonacci sequence. The choice to use a mandala garden was a very intentional one. The mandala has often been regarded as one of the best representations of the intersection of math, aesthetics, and art.