Papers

Publications & Pre-prints

1. Distinct distances with ℓp metrics (with Moaaz AlQady, Riley Chabot, Linus Ge, Mandar Juvekar, Srikanth Kundeti, Neloy Kundu, Kevin Lu, Yago Moreno, Sibo Peng, Adam Sheffer, Samuel Speas, Julia Starzycka, Henry Steinthal, and Anastasiia Vitko). Published, under a collective pseudonym as part of the Polymath Jr. REU, in Computational Geometry, Volume 100, January 2022. https://doi.org/10.1016/j.comgeo.2021.101785. [Pre-print: https://arxiv.org/abs/2010.05184]. Awarded the CGTA 2021/2022 Young Researchers’ Award.

2. A characterization of graphs with at most four boundary vertices (with Nick Chiem, Chris Lee, Sean, Lee, and Kevin Liu). Pre-print: https://arxiv.org/abs/2209.04438. Accepted for publication in Journal of Combinatorics.
   
   

3. Solving the n-color ice model (with Patrick Addona, Ethan Bockenhauer, Ben Brubaker, Michael Cauthorn, Cianan Conefrey-Shinozaki, David Donze, Jessamyn Dukes, Andrew Hardt, Cindy Li, Jigang Li, Yanli Liu, Neelima Puthanveetil, Zain Qudsi, Jordan Simons, Joseph Sullivan, Autumn Young). Pre-print: https://arxiv.org/abs/2212.06404 . Submitted for publication.

4.  On the Image of Graph Distance Matrices (with Noah Feinberg, Raymond Guo, Ansel Goh, Andrea Ottolini, Alicia Stepin, Raghavendra Tripathi, Joia Zhang). Pre-print: https://arxiv.org/abs/2307.04740. Submitted for publication.
   
   

5. Classification of weighted quasi-Einstein surfaces (with Jeffrey Case). In preparation.

6. Colored Gelfand-Tsetlin Patterns and Colored Lattice Models (with Ben Brubaker, Andy Hardt, Bryan Boehnke, Bowen Li, Berwyn Prichard-Jones, Ken Betterman, Nathan Sun, Everett Meekins, Gandhar Kulkarni, Alette Wells, Ziheng Yun, Keith Leung, Cedric Gerdes, David Kogan, Jean-Paul Sadia, Molly Johanson, Raydan Alaridi, Veronica Calvo, and Sihao Chen). In preparation.

7. Senior Honors Thesis at UW Seattle: Arithmetic Statistics of Hasse Principle Failure.
   
   

Expository Writing

1. The Elementary Proof of the Prime Number Theorem (with Nicholas Brusilow and James Yan), as a project for MATH 395 - Topics in Mathematics: Analytic Number Theory, at Carleton College in Spring 2021, taught by Professor Caroline Turnage-Butterbaugh. https://drive.google.com/file/d/166qDVfkU0onEMUEMfph24cPMW2FMzG2d/view?usp=sharing.