William Dudarov

I am a PhD student and NSF GRFP Fellow at UW Seattle advised by Dan Mikulincer. I am interested in the applications of probability, geometry, analysis, and discrete mathematics to theoretical computer science.

In Summer 2026, I am a Research Intern in the Algorithms Group at Microsoft Research, Redmond mentored by Arturs Backurs, Sepideh Mahabadi, and Jakub Tarnawski.

Previously, I was an Exponent Fellow at the National Museum of Mathematics in New York City. Before that, I was an undergraduate at UW Seattle and received my Bachelor of Science with Honors in Mathematics in Spring 2023.

Feel free to contact me at wdudarov [at] uw [dot] edu.

Pre-prints

Geometric obstructions to Lipschitz transport between weighted Hessian CD(κ, ∞) manifolds

With Dan Mikulincer.

Submitted for publication. arXiv.

On the Image of Graph Distance Matrices.

With Noah Feinberg, Raymond Guo, Ansel Goh, Andrea Ottolini, Alicia Stepin, Raghavendra Tripathi, Joia Zhang.

Submitted for publication. arXiv.

Publications

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.

Annals of Combinatorics, vol. 29, no. 2 (2025). arXiv | Journal

A characterization of graphs with at most four boundary vertices.

With Nick Chiem, Chris Lee, Sean, Lee, and Kevin Liu.

Journal of Combinatorics, vol. 15, no. 3 (2024). arXiv | Journal

Distinct distances with ℓp metrics.

With Moaaz AlQady, Linus Ge, Samuel Speas, et al.

Computational Geometry, Volume 100, (2022). arXiv | Journal

Awarded the CGTA 2021/2022 Young Researchers’ Award.