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 am the Secretary/Treasurer of the American Association of University Professors. I was the President of the University Senate 2017-2018.
As the COVID-19 pandemic has progressed I have moved about my house in quest of the ever perfect Zoom station. My husband and I are lucky enough to have a house large enough that we can reconfigure our work locations, and we have several times as the pandemic and seasons have evolved. Various rooms are…
We look at extending absolute values from base fields to extensions in the $K | \mathbb Q$ situation, and formulate a choice of absolute values for the places of $K$ which satisfy the Product Formula.
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.