I am currently a Postdoctoral Researcher in the University of Vienna working with Harald Grobner. Before moving to Vienna, I was a I-SITE ULNE postdoctoral fellow in the Laboratoire Paul Painlevé at Université de Lille working with Mladen Dimitrov. Before moving to Lille, France, I obtained my PhD degree at University of Arizona, Department of Mathematics. My advisor is Romyar Sharifi. I am interested in number theory, especially Iwaswa theory, automorphic forms, HIlbert modular forms, Galois representations and their related areas. Here is my CV.

# Contact Information

Email: shengchishih@gmail.com

Address: Faculty of Mathematics

University of Vienna

Oskar-Morgenstern-Platz 1

A-1090 Wien

AUSTRIA

Office: 03.123

Office Phone Number: +431427750779

# Publication

Eisenstein points on the Hilbert cuspidal eigenvariety (with Adel Betina and Mladen Dimitrov) , arXiv:2311.08361

On the Iwasawa invariants of modular forms with reducible and non-p-distinguished residual Galois representations. (with Jun Wang), arXiv:2206.14636, submitted.

(Magma: This is the link for our Magma code used in our paper to check Gorensteinness of Hecke algebra. This code requires Gabor Wiese's Magma pagkages)

On Sharifi's conjecture: exceptional case (with Jun Wang), Trans. Amer. Math. Soc. 374 (2021), 8531-8546. (pdf)

Shimura varieties at level $\Gamma_1(p^{\infty})$ and Galois representations (with Ana Caraiani, Daniel R. Gulotta, Chi-Yun Hsu, Christian Johansson, Lucia Mocz, and Emanuel Reinecke), Compos. Math. 156 (2020), no. 6, 1152-1230. (pdf)

On congruence modules related to Hilbert Eisenstein series, Math. Z. 296 (2020), no. 3-4, 1331–1385. (pdf)

Embedding of fields in simple algebra over global field (with Tse-Chung Yang and Chia-Fu Yu), Asian J. Math. 18 (2014), 365-386. (pdf)

# Upcoming talk

# Past Talks

03/14/2023 University of Vienna, Algebraic and Number Theory seminar. Title: Conjectures of p-adic L-functions

02/16/2023 National Sun Yat-Sen University, Colloquium, Title: On arithmetic of Eisenstein congruence Past Talks

12/22/2022 National Cheng Kung University, Colloquium, Title: On Iwasawa invariants of modular forms with reducible and non-p-distinguished residual Galois representations

12/15/2022 Academia Sinica, Institute of Mathematics, Colloquium, Title: On Iwasawa invariants of modular forms with reducible and non-p-distinguished residual Galois representations

09/05/2022-09/09/2022 Erdős Center, Rényi Institute Budapest, Automorphic forms conference. Title: Constant terms of Hilbert Eisenstein series and its arithmetic applications (contributed speaker)

07/18/2022-07/22/2022 University of Notre Dame, Thematic Program in p-adic L-functions and Eigenvarieties. Title: On the Iwasawa invariants of modular forms with reducible and non-p-distinguished residual Galois representations

01/11/2022 University of Vienna, Representation Theory and Automorphic Forms seminar. Title: On the exceptional case of Sharifi's conjectures

06/24/2021 University of Luxembourg, conference on the arithmetic of L-values. Title: Eisenstein intersection points on the Hilbert Eigenvariety