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
Modularity of higher theta series I: cohomology of the generic fiber
Tony Feng, Zhiwei Yun, Wei Zhang
In a previous paper we constructed higher theta series for unitary groups over function fields, and conjectured their modularity properties. Here we prove the generic modularity of…
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…