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

Most of my work revolves around the existence and distribution of rational points on algebraic varieties. I study local-to-global principles and how its failures are explained by the Brauer-Manin obstruction. Recently, I have been working on extending the obstruction theory from integral and rational points to semi-integral points.

- Semi-integral Brauer-Manin obstruction and quadric orbifolds (with Vladimir Mitankin, Sam Streeter)
*submitted*. - Weak approximation on Châtelet surfaces (with Sam Roven)
*submitted*. - Weak approximation and the Hilbert property for Campana points (with Sam Streeter)
*submitted*. - The elliptic sieve and Brauer groups (with Subham Bhakta, Dan Loughran, Simon L. Rydin Myerson)
*Proceedings of the London Mathematical Society,*to appear. - Uniform potential density for rational points on algebraic groups and elliptic K3 surfaces (with Kuan-Wen Lai)
*International Mathematics Research Notices,*2022, no. 28, 18541-18588. - Quantitative arithmetic of diagonal degree 2 K3 surfaces (with Damián Gvirtz, Daniel Loughran)
*Mathematische Annalen,*384 (2022), no. 1-2, 135-209. - Biregular
Cremona transformations of the plane (with Shamil
Asgarli, Kuan-Wen Lai, Susanna Zimmermann)
*Selecta Mathematica,*28 (2022), no. 3, Paper No. 53, 58 pp. - Rational points on conic bundles over elliptic curves (with Jen Berg)
*Mathematische Zeitschrift,*300 (2022), no. 3, 2429-2449. - 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.

- Birational Complexity of Algebraic Varieties, Simons Center for Geometry and Physics
- PRIMA Congress 2022, Vancouver Canada
- WAGS, UCR
- Number Theory and Arithmetic Geometry Seminar, University of Hannover, online
- Number Theory Seminar, UCSD
- WAGS, Colorado State University
- Number Theory Seminar, University of Georgia
- Rational Points 2022, Schney Germany

- Math 300B/E
*Introduction to Proofs and Mathematical Reasoning*, Winter 2022 - Math 224A/D
*Advanced Multivariable Calculus*, Fall 2021 - Math 340A
*Abstract Linear Algebra*, Summer 2021 - Math 308C/D
*Matrix Algebra*, Spring 2021 - Math 308L
*Matrix Algebra*, Winter 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.