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 (ChiaFu Yu);
b. Explicit methods for classical modular forms and Shimura curves (Yifan Yang);
c. Transcendental number theory in positive characteristic, and functional field
analogue of multiple zeta values (ChiehYu Chang);
d. Iwasawa theory and padic methods in algebraic number theory and automorphic forms (MingLun Hsieh).
