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 May, 2020, advised by Matthew Ando. You can contact me at nz7 at iu dot edu.

Here are my CV and my thesis.

Research

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

Publications and preprints

Equivariant algebraic K-theory and Artin L-functions, with Elden Elmanto. arXiv:2405.03578 (Last update: May 2024)
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)
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.
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.
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.

Grants

NSF grant DMS-2348963/2304719, "Chromatic homotopy theory, algebraic K-theory, and L-functions", 09/2023 -- 08/2026.
AMS-Simons Travel Grant, 07/2021 -- 08/2023.

Teaching

I will be teaching Math-M 403 Introduction to Modern Algebra I in Fall 2024. For my past teaching, please check my teaching page.