Gary Hu

Profile picture

I'm studying mathematics at Williams College.

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

gary.hu at exeter dot ox.ac.uk

Research Papers

Since Fall 2024, I have been working with Rongwei Yang on a series of papers to build a spectral theory for solvable Lie algebras. Drafts are available upon request.

  1. Spectral Equivalence of Complex Solvable Lie Algebras I: General Theory (with Rongwei Yang)
  2. Spectral Equivalence of Complex Solvable Lie Algebras II: Heisenberg Nilradical (with Rongwei Yang)
  3. Spectral Equivalence of Complex Solvable Lie Algebras III: Borel Nilradical (with Rongwei Yang)
  4. Spectral Equivalence of Complex Solvable Lie Algebras IV: Filiform and Quasifiliform Nilradical (with Rongwei Yang)

At the UMD REU-CAAR in summer 2026, I worked on problems in Euclidean Ramsey theory. Drafts are available upon request.

  1. Measurable Euclidean Ramsey Theory for Lines and Finite Configurations (with Ryan Hoff and Yumo Liu)

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

  1. Lower Bounds on Intersecting Families (with Paul Hamrick; pdf)

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)
  3. Companion to Dan Freed's Quantum Theory From A Geometric Viewpoint (with Brennan Halcomb, Rauan Kaldybayev, Theodore Mollano; advised by Ivo Terek)

Events

  1. Rutgers Symplectic Summer School: Foundational Aspects (2024), Lagrangian Floer Theories (2025), Integral and p-adic Symplectic Topology (2026, coming soon)
  2. BIMSA BMPSW on Integrable Systems and Algebraic Geometry
  3. Notre Dame Thematic Program on Discrete Groups in Topology and Algebraic Geometry