Chengyang Bao

About Me

Hello! I am currently a Research Associate in Number Theory at the Department of Mathematics, Imperial College London, where my mentor is Toby Gee. My work focuses on the p-adic aspect of Galois representations arising from modular forms.

In the academic year 2024-2025, I was a postdoc at UCLA mentored by Chandrashekhar Khare. I obtained my doctorate degree in 2024 from the University of Chicago under the supervision of Frank Calegari.

My CV is available here: CV.

Publications & Preprints

• (Submitted) Applications of patching the coherent cohomology of modular curves. arXiv:2604.12830 ;
  Related discussions: on convergence of Hilbert series; on the Cohen--Macaulay property of local deformation rings
• (In preparation, PhD Thesis) Computing crystalline deformation rings via the Taylor--Wiles--Kisin patching method.
  thesis version; Frank's blog post
• Locally induced Galois representations with exceptional residual images.
  Journal of Number Theory, 275 (2025), 49–66. doi:10.1016/j.jnt.2024.12.015; Frank's blog post