Alan Goldfarb

"C'est le destin! C'est la volonte! Les mathematiques, la mecanique quantique, les secrets de l'univers! Tout est ici! La vie est ardente avec sa beaute!"


About Me

I'm a second-year PhD student in the mathematics department at UC Berkeley fortunate to be advised by Vera Serganova.
I recieved my B.S. in mathematics from USC summa cum laude. While an undergraduate, I was a student of
Sarthak Parikh as a visiting researcher at Caltech.
Please do not contact me with unsolicited, non-academic job offers.

My research interests are in representation theory of quantum and supergroups, occasionally in the context of mathematical physics.
Before this, I was working on non-Archimedean geometry as it relates to p-adic QFTs.
I'm also deeply invested in international collaboration over mathematics. Ask me about it!

I'm a Berkeley Connect Research Fellow for the 2024-2025 academic year. Learn about the program here.
I am grateful for the support of the National Science Foundation Graduate Research Fellowship and the UC Chancellor's Fellowship.

Email: alangoldfarb [AT] berkeley [DOT] edu

1075 Evans Hall, University Dr
Berkeley, CA 94720 USA

My CV

Research and Other Writing

Undergrad Research

On the Berkovich Projective Line and Coarse-Grainings of Non-Archimedean Product Spaces.
Snowfall Prediction Models Built From Natural Radiation. (Available upon request)

Expository Writing

Some notes on Lie theory (read at your own risk).
Milnor Excision and Beauville-Laszlo Formal Gluing.
A Brief Introduction to Hopf Algebras and Quantum sl2.

Misc

Humanity's Last Exam.
Approximating the All-Pairs Geodesic Matrix.

Seminars Organized

Quantum groups and Affine Lie Algebras, Fall 2025
Supersymmetry and Supergeometry, Fall 2024
Geometric Representation Theory Learning Seminar, Spring 2024

Teaching

Graduate Student Instructor - UC Berkeley

Spring 2025: Math 98BC and Math 198BC, Berkeley Connect (instructor of record)
Fall 2024: Math 98BC and Math 198BC, Berkeley Connect (instructor of record)
Summer 2024: Math 54, Linear Algebra & Differential Equations with Arun Sharma

Teaching Assistant - USC

Fall 2022: Math 118, Fundamentals of Calculus with Danjoseph Quijada
Spring 2022: Math 226, Multivariable Calculus with Zhaoyu Zhang



Trivial