Alan Goldfarb

"Can we say that scientists wonder if the rainbow is true? All that matters to them is that this phenomenon be communicable in some language, that it be reportable in some form, and that it be possible to insert into the chain of symbolic identifications with which their science unifies the diversity of its own object."

About Me

I'm a second-year PhD Student in the mathematics department at UC Berkeley. I recieved my B.S. in mathematics from USC in May 2023.

My research interests are in representation theory and non-Archimedean geometry, often in the context of mathematical physics.
Most recently, I've been thinking about moduli spaces of flag tuples.

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

Email: alangoldfarb [AT] berkeley [DOT] edu

852 Evans Hall, University Dr
Berkeley, CA 94720 USA


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.

Expository Writing

Milnor Excision and Beauville-Laszlo Formal Gluing.
A Brief Introduction to Hopf Algebras and Quantum sl2.
Approximating the All-Pairs Geodesic Matrix.

Seminars Organized

Introduction to Geometric Representation Theory, Spring 2024


Graduate Student Instructor - UC Berkeley

Summer 2024: Math 54, Linear Algebra & Differential Equations with Arun Sharma -- Course materials

Teaching Assistant - USC

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