Address: Morningside Center of Mathematics, No.55, Zhongguancun East Road, Beijing, 100190, China
Personal information:
I am currently a postdoc at the Morningside Center of Mathematics, Beijing, China.
My research interests primarily lie in number theory and representation theory, with a particular focus on topics related to the p-adic local Langlands program. Specifically, I am interested in p-adic slope questions for modular forms, Galois representations, and L-invariants, as well as their applications.
In my thesis, I investigated p-adic slopes for the L-invariants associated with p-newforms and established an equidistribution property for these slopes, akin to Gouvêa's equidistribution for the slopes of p-oldforms.
Currently, my research centers on exploring finer structures of Kisin's deformation spaces, beyond the Breuil-Mézard multiplicity, drawing on slope theory and the explicit p-adic local Langlands correspondence for GL2(Qp).
Education & Career :
2018/09-2024/06 Ph.D Peking University, Beijing, China (Supervisor: Liang Xiao)
2014/09-2018/07 B.S Nankai University, Tianjin, China
Publications & Preprints:
1. J. An, L. Xiao, and B. Zhao, A refined spectral halo theorem, preprint.
2. J. An, Distribution of slopes for L-invariants, thesis.
