3 papers
math.AG2026
A numerical generalized canonical bundle formula
Cheng Zhang
We establish the generalized canonical bundle formula in the numerical setting.
math.AP2026
Restriction estimates for toral eigenfunctions and lattice points in spherical regions
Cheng Zhang, Zhifei Zhu
We establish new restriction estimates for toral eigenfunctions. These estimates are sharp in certain cases, and thus prove a conjecture of Huang-Zhang for smooth submanifold…
math.CA2026
Maximal growth of the Stein-Wainger oscillatory integral
Cheng Zhang, Zhifei Zhu
We establish a precise hierarchy for the maximal growth of the Stein-Wainger oscillatory integral as the regularity of the phase varies over Denjoy-Carleman classes, such as the Ge…