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(*  :Member of Institute of Mathematics for Industry)
(** :Member of Faculty of Arts and Science)

Number Theory

The field of number theory researches various types of mathematical subjects directly and indirectly related to numbers. Specifically, it researches algebraic manifolds, motifs and automorphic forms and representations, associated Galois representations and zeta and L-functions, and the special values, multiple zeta values, periods, ideal class groups, algebraic cycles, and K-groups of those functions. Similarities between subjects in number theory and those in topology (especially knot theory) are also researched. Algebraic, geometric, and analytical methodologies are all used in number theory, which also has a deep relationship with representation theory. Computers can be actively used in this field.

Academic Supervisors

KANEKO, Masanobu , Professor Number Theory, Modular Forms/Functions, Multiple Zeta Values, Bernoulli Numbers
KOBAYASHI, Shinichi , Professor Number Theory, Iwasawa Theory, Elliptic Curves, Modular Forms, Birch and Swinnerton-Dyer Conjecture
MORISHITA, Masanori , Professor Arithmetic Topology
WENG, Lin , Professor Algebraic and/or Arithmetic and/or Complex Geometry, Number Theory
GON, Yasuro , Associate Professor Number Theory, Automorphic Forms, Trace Formulas
KONNO, Takuya , Associate Professor Automorpihic Representation Theory, Representation Theory of p-Adic Groups, Langlands Program
SAITO, Shingo** , Associate Professor Classical Real Analysis, Multiple Zeta Values, Actuarial Science
TAKEDA, Yuichiro , Associate Professor Arithmetic Geometry, Algebraic K-thoery, Arakelov Geometry

Cooperative Professors

TAKAGI, Tsuyoshi* , Professor Cryptography, Information Security, Computational Number Theory
WAKAYAMA, Masato* , Professor Representation Theory, Number Theory, Zeta Functions, Spectral Analysis
HIKAMI, Kazuhiro , Associate Professor Mathematical Physics, Quantum Topology, Quantum Integrable System
DUONG, Hoang Dung* , Assistant Professor Zeta Functions, Representation Theory, Lattices, Cryptography, Computational Number Theory
HATTORI, Shin , Assistant Professor Arithmetic Geometry
TRINH, Khanh Duy* , Assistant Professor Probability Theory, Analytic Number Theory, General Dirichlet Series, Besicovitch Almost Periodic Functions, Random Matrix Theory
YOKOYAMA, Shun'ichi , Assistant Professor Computational Number Theory, Mathematics for Computer Graphics