Research

Research in number theory

1. Sharp bounds for multiplicities of Bianchi modular forms, arXiv:2201.11190, to appear in Annals of Mathematics, video.

2. A derived construction of eigenvarieties, arXiv:2110.04797, submitted.

3. The cohomology of p-adic distribution representations, arXiv:2111.04232, submitted.

Miscellaneous

1. On the minimax spherical designs, (with Guanyang Wang and Jun Yan), arXiv:2102.04599, appeared in Random Structures & Algorithms.

2. Linear restrictions on cone polynomials, (with Zipei Nie), arXiv:1510.04630.

Short expository notes

1. The Sato-Tate conjectures.

2. The overconvergent Siegel modular forms of Andreatta, Iovita and Pilloni.