I am a tenure-track Assistant Professor at UC Berkeley. I am interested in number theory and its connections to algebraic geometry, representation theory, and algebraic topology.
I am also working on Machine Learning, currently as a Visiting Researcher at Google DeepMind. In the past, I worked with xAI on Grok 2 and Grok 3.
My CV is available.
I am co-PI of the Berkeley RTG on Numbers, Symmetry, and Geometry (along with David Nadler, Martin Olsson, Sug Woo Shin, and Yunqing Tang).
E-mail: fengt[aat]berkeley[doot]edu.
News: (updated July 17, 2025)
- Uploaded a new paper joint with Shachar Carmeli, Prismatic Steenrod operations and arithmetic duality on Brauer groups.
- Uploaded a new paper joint with Ben Howard and Mikayel Mkrtchyan, Higher Siegel--Weil formula for unitary groups II: corank-one terms.
- Uploaded a new version of Mirror symmetry and the Breuil-Mezard Conjecture (joint with Bao Le Hung). This version is a significant rewriting and improvement over the previous one, generalizing the results to arbitrary unramified groups, including exceptional groups! (The changes are discussed in section 1.5.)
- Uploaded a revision of Derived structures in the Langlands Correspondence (joint with Michael Harris), written for the Proceedings of the 2022 (yikes!) IHES Summer School.
Short Vita:
- Assistant Professor, UC Berkeley 2022-Present
- Viterbi Postdoctoral Fellow, MSRI/SLMath 2023
- C L E Moore Instructor and NSF Postdoctoral Fellow, MIT 2019-2022 (Sponsor: Wei Zhang)
- Member, Institute for Advanced Study 2020-2021
- Ph.D., Stanford University 2019 (Advisor: Akshay Venkatesh)
- MASt, Cambridge University 2014 (Part III)
- A.B.+A.M., Harvard University 2013 (Mathematics concentration, Computer Science secondary)