Gary Hu

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I'm studying math at Williams College.

I'm at the University of Oxford for the 2026-27 academic year.

Contact: garyhu at gmail dot com

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Research Papers

Since Fall 2024, I am working with Rongwei Yang on a series of papers to build a spectral theory for solvable Lie algebras. Here is the first one:

  1. Spectral Invariants of Complex Solvable Lie Algebras: Nilradical Weights and Hyperplane Arrangements With Rongwei Yang. Submitted. PDF, 36 pages.

At the UMD REU-CAAR in summer 2026, I worked on problems in Ramsey theory, advised by Bill Gasarch:

  1. Euclidean Ramsey Theory for Lines and Finite Configurations With Ryan Hoff and Yumo Liu. PDF, 38 pages.
  2. A 21-Coloring of the Plane Without Monochromatic Unit-Area Rectangles With Yumo Liu. Submitted. PDF, 4 pages.

At IAS/PCMI in summer 2025, I worked on problems in extremal combinatorics:

  1. Lower Bounds on Intersecting Families With Paul Hamrick. Submitted. PDF, 9 pages.

Longer Expository Writing

  1. Obstructions to Triangulation in High Dimensions work in progress
  2. Fiebig's Correspondence Between Soergel Bimodules and Braden-MacPherson Sheaves Advised by Grant Barkley. PDF, 50 pages.
  3. Companion to Dan Freed's Quantum Theory From A Geometric Viewpoint With Brennan Halcomb, Rauan Kaldybayev, and Theodore Mollano. Advised by Ivo Terek. PDF, 124 pages.
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