I am a postdoctoral scholar at University of Washington. I received my PhD from Rice University in 2018 under the supervision of Anthony Várilly-Alvarado. My research interests are in arithmetic geometry.
mn75 ‘at’ uw ‘dot’ edu
Padelford Hall, University of Washington
Research Associate
Mentor: Daniel Loughran
Research Associate
Mentor: Daniel Loughran
Postdoctoral Scholar
Mentor: Bianca Viray
My research interests lie between algebraic geometry and number theory. I am interested in studying the existence and distribution of rational points on algebraic varieties, with emphasis on the Brauer-Manin obstruction. Many of my results are on surfaces such as del Pezzo surfaces and K3 surfaces. Currently, I am studying quantitative properties of rational points on varieties fibered over elliptic curves.
I also study the Cremona group over finite fields. I consider questions such as given a birational self-map inducing a bijection on the rational points, what kind of permutations can we get?
When I am not researching and teachinhg, I'm an avid pool player. In 2017 and 2018, my team won the Texas BCA Championships back to back. Also in 2017, we placed 2nd in the National Championship in Las Vegas.