Program Organizer: Yi-Fan Yang (NTU)

Affliated Members: Chieh-Yu Chang(NTHU), Fu-Tsun Wei (NTHU), Chun-Ju Lai (AS)

The research topics of this program cover a wide spectrum of number theory. We focus on the following four areas:

a. The geometry of Shimura varieties over finite fields and class number formulas

of central simple algebras

b. Explicit methods for classical modular forms and Shimura curves

c. Transcendental number theory in positive characteristic, and functional field

analogue of multiple zeta values 

d. Iwasawa theory and p-adic methods in algebraic number theory and automorphic forms