Hanson Hao

I am a second year graduate student at Berkeley, interested in arithmetic geometry and number theory. I am fortunate to be advised by Yunqing Tang. Currently, I am learning/thinking about Arakelov geometry and Diophantine problems involving higher-genus curves. I got my undergraduate degree from Stanford in June 2023.

I am teaching Math 54 in Spring 2025. Office hours: 9-11am Thursday

Email: first initial last name AT berkeley DOT edu

Office: Evans 787

Papers/Notes/Articles

Undergrad Stuff

My senior thesis (advised by Brian Conrad).
Polarizations of equigenerated strongly stable ideals (with Y. Luo and S. Saint Rain).
Cohen-Macaulayness of ASM Varieties (with I. Axelrod-Freed, M. Kendall, and Y. Luo).
Investigations on automorphism groups of quantum stabilizer codes. arXiv:2109.12735.

Notes and Expository Writings

Notes on Algebraicity and Holonomy Criteria
My syllabus and rough transcript from my qualifying exam (Dec 10, 2024)

Seminars Organized

Arakelov Geometry Learning Seminar, Spring 2025
Class Field Theory Reading Group, Fall 2023-Spring 2024 (Tuesdays 1-2pm)

Teaching/Mentoring

I will be a mentor for the Berkeley "Numbers, Symmetry, and Geometry" RTG REU in Summer 2025.

Math 55: Summer 2024

Course Webpage

Math 54: Spring 2024, Spring 2025

Midterm 1 Study Guide (Linear Systems, Vector Spaces, Linear Maps, Determinants)
Midterm 2 Study Guide (Change-of-basis, Rank-Nullity, Eigenvalues, Inner Products, Spectral Theorem)
Brian Sun's notes on Differential Equations

Math 1B: Fall 2023

Midterm 1 Study Guide (Integration Techniques)
Midterm 2 Study Guide (Sequences and Series)
Midterm 3 Study Guide (ODEs)