3 papers
math.NT2026
Modularity of Higher Theta Series III: Proof of the Modularity Conjecture
Tony Feng, Zhiwei Yun, Wei Zhang
We prove the Modularity Conjecture for higher theta series on moduli stacks of Hermitian shtukas. For general linear shtukas, we establish a more refined phenomenon that we call su…
math.NT2026
Arithmetic volumes of moduli stacks of Shtukas
Tony Feng, Zhiwei Yun, Wei Zhang
We define and study "tautological classes" in the cohomology of moduli stacks of shtukas, pursuing two directions of applications. First, we prove a formula relating the "arithmeti…
math.NT2025
Higher Siegel--Weil formula for unitary groups II: corank one terms
Tony Feng, Benjamin Howard, Mikayel Mkrtchyan
We prove the higher Siegel--Weil formula for \emph{corank one} terms, relating (1) the central derivatives of corank one Fourier coefficients of Siegel--Eisenstein ser…