# 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 advised by Vera Serganova.

I recieved my B.S. in mathematics from USC summa cum laude in May 2023 and was a student of Sarthak Parikh as a visiting researcher at Caltech..

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 Z_2 graded algebra and other "supermathematics." Before that, I was working on Berkovich spaces as they relate to p-adic QFTs.

I'm also deeply interested 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

Milnor Excision and Beauville-Laszlo Formal Gluing.

A Brief Introduction to Hopf Algebras and Quantum sl2.

Approximating the All-Pairs Geodesic Matrix.
## Seminars Organized

Supersymmetry and Supergeometry Learning Seminar, Fall 2024

Introduction to Geometric Representation Theory, 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