# Ningchuan Zhang

## 张凝川

I am a Zorn Postdoctoral Fellow at Department of Mathematics, Indiana University Bloomington. My postdoc mentor is Mike Mandell. Currently, I am visiting the Max-Planck Institute for Mathematics in Bonn, Germany. In 2020 -- 2023, I was a Hans Rademacher Instructor of Mathematics at Department of Mathematics, University of Pennsylvania, working with Mona Merling. I received my Ph.D. from University of Illinois at Urbana-Champaign in 2020, advised by Matthew Ando. You can contact me at nz7 at iu dot edu.

## Publications and preprints

The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory, with Guchuan Li. arXiv: 2309.05039 (Last update: September 2023)

Congruences of Eisenstein series of level Γ_1(N) via Dieudonné theory of formal groups, arXiv: 2006.15106. To appear in J. Théor. Nombres Bordeaux.

Exotic Picard groups and chromatic vanishing via the Gross-Hopkins duality, with Dominic Culver, Topology Appl. 341 (2024), Paper No. 108742, 32 pp. DOI: 10.1016/j.topol.2023.108742, arXiv:2203.09455.

Borel's rank theorem for Artin L-functions, Proc. Amer. Math. Soc. 151 (2023), 4621-4632. DOI: 10.1090/proc/16493, arXiv:2209.10044.

Analogs of Dirichlet L-functions in chromatic homotopy theory, Adv. Math. 399 (2022), Paper No. 108267, 84 pp. DOI: 10.1016/j.aim.2022.108267. arXiv: 1910.14582.

## Research

My main research interest is algebraic topology and its relations with number theory. For more details, please check my publications and preprints above and my talks and notes page.

## Teaching

I am not teaching in Spring 2024. For my past teaching, please check my teaching page.