Research

Research: I am interested in discrete mathematics. My research thus far has been applying algebraic techniques to discrete geometry problems.

Papers:

1. Distinct Angle Problems and Variants with Henry Fleischmann, Hongyi Hu, Faye Jackson, Steven J. Miller, Eyvindur Palsson and Ethan Pesikoff, to appear in Discrete and Computational Geometry, 2022

2. Angle Chains and Pinned Variants with Eyvindur Palsson and Steven Senger, Bulletin of the Hellenic Math Society, Vol 65, pp 35-53, 2021

3. Repeated Distances and Dot Products in Finite Fields, with Alex Iosevich, Operator Theory and Harmonic Analysis 2020, pp 243-257

4. On the number of ordinary lines determined by sets in complex space with Abdul Basit, Zeev Dvir, and Shubhangi Saraf, Discrete and Computational Geometry, 2019

5. Finite Field Kakeya and Nikodym Sets in 3 Dimensions with Ben Lund and Shubhangi Saraf, SIDMA 2018

6. No Repeated Slopes, Triangles and Polygons (2021) with Shakhar Smorodinsky, submitted

7. Optimal Point Sets Determining Few Distinct Angles (2021) with Henry Fleischmann, Steven J. Miller, Eyvindur Palsson and Ethan Pesikoff, submitted

8. Distinct Angles in General Position (2022) with Henry Fleischmann, Steven J. Miller, Eyvindur Palsson and Ethan Pesikoff, submitted