Zhiyu Zhang

I am a Szegő Assistant Professor at Stanford University. I did my PHD (2018-2022, MIT) with Wei Zhang , and proved more arithmetic fundamental lemmas and modularity of arithmetic theta series with levels.

I work in number theory, representation theory and arithmetic geometry / topology. I study examples and theories about

any interesting integers, power series, operators and invariants, e.g. solving equations, eigenvalues, heights, integrals, enumerative geometry and L-functions.

Langlands program: transfers, dualities, matching invariants and applications.

new moduli spaces: cohomological study, shapes, symmetry, more cycles / sheaves, geometric representation theory, non-algebraic and sympletic geometry.

I am on job market for positions starting at Fall 2026.

I enjoy teaching, working with people and services to math community.

Office: Room 382-C, Sloan Mathematical Center.

Emails : zyuzhang[at]stanford.edu / zhiyuzhangmath[at]gmail.com .

I am fascinated by concrete examples (e.g. GL_n), heights, quasi-coherent sheaves, and analogs over finite fields, reals, p-adics, rational numbers, manifolds (with metrics / differentials), combinatorics (e.g. polytopes), topology, and physics (e.g. TQFT and quantization).

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