Email: alangoldfarb [AT] berkeley [DOT] edu
1075 Evans Hall, University Dr
Berkeley, CA 94720 USA
My opinions on the subject are constantly evolving and I have little to say that has not already been said by someone more informed.
Instead, I refer anyone who is interested in my perspective to the following:
On proof and progress in mathematics
Why are we even doing all this?
A severe misalignment of AI in mathematics
I'm a fourth-year PhD candidate in the mathematics department at UC Berkeley fortunate to be advised by Vera Serganova.
My research interests are in representation theory and its intersections with algebraic geometry and mathematical physics.
More specifically, I think about quantum groups, superalgebras, and tensor categories.
Before coming to Berkeley and moving my focus to representation theory, I was a student of Sarthak Parikh studying p-adic field theories at Caltech.
I was a Presidential Scholar at USC and received my B.S. in mathematics, summa cum laude, in 2023.
I am currently supported by NSF GRFP no. 2023356980 and the Berkeley Chancellor's Fellowship.
I am also grateful for the support of the Berkeley Connect Research Fellowship.
I'm currently thinking about the representation theory and central geometry of quantized enveloping superalgebras (also known as quantum supergroups) at roots of unity.
I co-organize our department's directed reading program. It is a great way for undergraduates to engage with research-level math and for graduate students to support math education.
I organize our department's poker club and am a very avid player. Feel free to reach out if interested.
In light of the recent OpenAI priority controversy, all ongoing work has been removed from my website. Please email me if you are interested.
On the Berkovich Projective Line and Coarse-Grainings of Non-Archimedean Product Spaces (e-print 2023).
QEDBench: Quantifying the Alignment Gap in Automated Evaluation of University-Level Mathematical Proofs (Proceedings of 43rd ICML 2026).
A benchmark of expert-level academic questions to assess AI capabilities (Nature 2026).
CAIS Humanity's Last Exam (e-print 2025).
Spring 2027: TBA
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
Fall 2022: Math 118, Fundamentals of Calculus with Danjoseph Quijada
Spring 2022: Math 226, Multivariable Calculus with Zhaoyu Zhang
