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

#### 2018-2019

## University of Manchester

Research Associate

Mentor: Daniel Loughran

#### 2019-2020

## University of Bath

Research Associate

Mentor: Daniel Loughran

#### 2020-present

## University of Washington

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?

- The elliptic sieve and Brauer groups (with Subham Bhakta, Dan Loughran, Simon L. Rydin Myerson)
*submitted*. - Weak approximation and the Hilbert property for Campana points (with Sam Streeter)
*submitted*. - Uniform potential density for rational points on algebraic groups and elliptic K3 surfaces (with Kuan-Wen Lai)
*International Mathematics Research Notices,*to appear. - Quantitative arithmetic of diagonal degree 2 K3 surfaces (with Damián Gvirtz, Daniel Loughran)
*Mathematische Annalen*to appear. - Biregular Cremona transformations of the plane (with Shamil Asgarli, Kuan-Wen Lai, Susanna Zimmermann)
*submitted*. - Rational points on conic bundles over elliptic curves (with Jen Berg)
*Mathematische Zeitschrift,*to appear. - Brauer-Manin obstructions on degree 2 K3 surfaces (with Patrick Corn)
*Research in Number Theory,*4 (2018), no. 3, Art. 33, 16 pp. - Index of fibrations and Brauer classes that never obstruct the Hasse principle
*Advances in Math,*348 (2019), 512-522.

- BIRS Geometry via Arithmetic, online
- IML Number Theory, online
- BIRS Modern breakthroughs in Diophantine problems, online
- Western Algebraic Geometry, online

- Math 308L
*Matrix Algebra*, Winter 2021 - Math 308C
*Matrix Algebra*, Spring 2021 - Math 308D
*Matrix Algebra*, Spring 2021 - Math 340A
*Abstract Linear Algebra*, Summer 2021

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.