Gary Hu

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I'm a student at Williams College.

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

This summer I will be at the University of Maryland.

Interests: Lie theory, differential geometry, and representation theory.

Contact: garyhu06 at gmail dot com

Travel Schedule

Research

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

  1. Spectral Equivalence of Solvable Lie Algebras with Nilradical I: General and Heisenberg Cases
  2. Spectral Equivalence of Solvable Lie Algebras with Nilradical II: Borel Case
  3. Spectral Equivalence of Solvable Lie Algebras with Nilradical III: Filiform and Quasi-Filiform Cases

At IAS/PCMI 2025 I wrote a short paper on extremal combinatorics with Paul Hamrick:

  1. Lower Bounds on Intersecting Families (arXiv:2510.18064)

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)

Notes from Events

  1. Rutgers Symplectic Summer School: Foundational Aspects (2024), Lagrangian Floer Theories (2025), 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