I am a Zorn Postdoctoral Fellow at Department of Mathematics, Indiana University Bloomington. My postdoc mentor is Mike Mandell. In 2020 -- 2023, I was a Hans Rademacher Instructor of Mathematics at 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.
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.
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. Adv. Math. 471 (2025), Paper No. 110274, 59 pp. DOI: 10.1016/j.aim.2025.110274. arXiv: 2309.05039
Congruences of Eisenstein series of level Γ_1(N) via Dieudonné theory of formal groups. J. Théor. Nombres Bordeaux, 36 (2024), no. 1, 215--249. DOI: 10.5802/jtnb.1277. arXiv: 2006.15106.
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.
NSF grant DMS-2348963 (formerly DMS-2304719), "Chromatic homotopy theory, algebraic K-theory, and L-functions", 09/2023 -- 08/2026.
AMS-Simons Travel Grant, 07/2021 -- 08/2023.
I will be teaching Math-M 312 Calculus IV (Vector Calculus) in Fall 2025. For my past teaching, please check my teaching page.