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: sheng-chi.shih@univie.ac.at

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) , in preparation.On Sharifi's conjecture: exceptional case (with Jun Wang), to appear in Trans. Amer. Math. Soc. (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

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