Mathematical Illustration
I like to illustrate mathematics, in any medium that calls for. I’m involved in the Illustrating mathematics community. In the Spring of 2026, I attended the trimester program on Illustration as a Mathematical Research Technique at the Institute Henri Poincare. I met many wonderful people, and made lots of mathematical illustrations!
Illustrated papers
I illustrate all of my papers. I occasionally take commissions to illustrate other people’s papers. Here’s some papers I’ve illustrated:
What is the Geometric Langlands Correspondence About?
David Ben-Zvi • Published in 2026 AMS Current Events Bulletin • 2026
Abstract:
The recent proof of the unramified Geometric Langlands Conjecture has attracted a lot of publicity, so this seems like a good time to address the title question. In one line, the Geometric Langlands correspondence is an algebraic spectral theorem for a certain class of differential equations called automorphic sheaves. It asserts they can be decomposed into monochromatic objects, which diagonalize the action of natural symmetries (Hecke operators), and it describes the corresponding colors or frequencies (Langlands parameters). The statement is very technical and esoteric sounding, the proof takes thousands of pages, and there are relatively few easily stated immediate consequences. So what’s the deal? In this brief survey I will present the subject informally as a blueprint for a master plan for the study of nonabelian symmetry, touching on some of the main motivations, connections and structures that have emerged.
Evolution of Stacks and Moduli
Jarod Alper • Published in AMS notices • 2025
Abstract:
Why do moduli spaces exist as varieties? A survey of how solutions to this question have evolved since Riemann’s work in the 1850s, told in the language of stacks. This reveales many of the central ideas in modern moduli theory.
