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Number Theory and Representation Theory

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 (Chia-Fu 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 (Chieh-Yu Chang);


d. Iwasawa theory and p-adic methods in algebraic number theory and automorphic forms (Ming-Lun Hsieh)


Log-algebraic Identities on Elliptic Curves Abstract: For an elliptic curve defined over the rational numbers, it is well-known that the ...
Japan-Taiwan Joint conference on Number theory 2020 Aim & Scope: The Japan-Taiwan joint conference on number theory was initiated by YifanYan...
On the non-triviality of arithmetic invariants and its applications (Cancelled) Special Announcement (04/15/2020, 13:00pm): To avoid the Novel Coronavirus (2019-nCoV) pandem...
Hung Chiang
Columbia University
April 29 - December 31, 2020
Ryotaro Harada
April 1, 2020 - March 31, 2022
Shen-Ning Tung
University of British Columbia
May 2 - December 31, 2020


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