Center for Advanced Mathematical Sciences

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Summary

The activities of modern society cannot be considered without the development and application of mathematics and mathematical science. Mathematical science is used in a variety of modern activities, and its importance is rather increasing (for example, cryptography for security systems and analysis of big data, etc). Several results of mathematical sciences have various applications, and the ideas of mathematical science can be also applied to many fields, which is quite important in the development of modern society. By these reasons several faculties of Keio University have faculty members whose specialty is mathematics and mathematical science. The purpose of establishing this center is to bring together mathematical faculty members in Keio University to carry out cross-disciplinary research between various research fields as well as problems specific to mathematics and to carry out international activities. Based on the foundation of research activities established by the Integrated Mathematical Science Research Center, which had been active until 2017, we will develop this Center and carry out further advanced research activities.

SDGs

Operational Period

2018/09/01～2025/03/31

Members

◎ indicates the project leader

Name	Affiliation	Position	Field of Specialization/Research Interests
◎ Masato Kurihara	Faculty of Science and Technology, Department of Mathematics	Professor	Algebra, Number theory
Atsushi Atsuji	Faculty of Science and Technology, Department of Mathematics	Professor	Diffusion processes, Martingales, Geometric function theory, Nevanlinna theory, geometric function theory, Nevanlinna theory, stochastic calculus
Tatsuo Iguchi	Faculty of Science and Technology, Department of Mathematics	Professor	Basic analysis, Mathematical analysis
Norihisa Ikoma	Faculty of Science and Technology, Department of Mathematics	Associate Professor	Partial differential equations, Elliptic partial differential equations, Geometric analysis
Hiroyasu Izeki	Faculty of Science and Technology, Department of Mathematics	Professor	Differential geometry, Discrete groups, rigidity
Katsuhiro Ota	Faculty of Science and Technology, Department of Mathematics	Professor	Foundations of mathematics/Applied mathematics
Yoshiaki Oda	Faculty of Science and Technology, Department of Mathematics	Associate Professor	Discrete mathematics, Combinatorics, Algorithms
Naonori Kakimura	Faculty of Science and Technology, Department of Mathematics	Professor	Theory of informatics, Mathematical informatics
Takeshi Katsura	Faculty of Science and Technology, Department of Mathematics	Professor	Operator algebra, C*-algebra
Yukio Kametani	Faculty of Science and Technology, Department of Mathematics	Associate Professor	Differential topology, Gauge theory
Kei Kobayashi	Faculty of Science and Technology, Department of Mathematics	Professor	Theoretical statistics, Statistical machine learning, Bayesian prediction
Hironobu Sakagawa	Faculty of Science and Technology, Department of Mathematics	Professor	Probability theory, Statistical mechanics
Hiroshi Shiraishi	Faculty of Science and Technology, Department of Mathematics	Professor	Statistical science, Money/finance, Economic statistics
Kohei Soga	Faculty of Science and Technology, Department of Mathematics	Associate Professor	Nonlinear partial differential equations, Dynamical systems, Numerical analysis
Hiroki Takahashi	Faculty of Science and Technology, Department of Mathematics	Professor	Dynamical systems, Chaos, Bifurcations, Ergodic theory
Masahiro Takayama	Faculty of Science and Technology, Department of Mathematics	Research Associate	Basic analysis, Mathematical analysis
Takaaki Tanaka	Faculty of Science and Technology, Department of Mathematics	Professor	Transcendental number theory, Analytic number theory
Hideki Tanemura	Faculty of Science and Technology, Department of Mathematics	Professor	Probability, Stochastic differential equations, Infinite particle systems, Limit theorems, Percolation models
Akihisa Tamura	Faculty of Science and Technology, Department of Mathematics	Professor	Discrete optimization, Mathematical optimization, Algorithms
Kota Hattori	Faculty of Science and Technology, Department of Mathematics	Associate Professor	Differential geometry, Complex geometry, Gromov-Hasudorff convergence
Kenichi Hayashi	Faculty of Science and Technology, Department of Mathematics	Associate Professor	Statistical science, Biomedical statistics
Kenta Hayano	Faculty of Science and Technology, Department of Mathematics	Associate Professor	Four-manifolds, Singularities of mappings
Kenichi Bannai	Faculty of Science and Technology, Department of Mathematics	Professor	Number theory, Arithmetic geometry
Mihoko Minami	Faculty of Science and Technology, Department of Mathematics	Professor	Statistical science, Multivariate analysis, Environmental risk assessment, Biological resource assessment, Distribution theory
Takuya Miyazaki	Faculty of Science and Technology, Department of Mathematics	Associate Professor	Automorphic representations, Moduli spaces of abelian varieties, Number theory
Shuji Yamamoto	Graduate School of Science and Technology	Project Associate Professor	Algebra
Kaoru Ikeda	Faculty of Economics	Professor	Mathematical phisics
Takuji Arai	Faculty of Economics	Professor	Mathematical finance, Probability theory
Masaharu Ishikawa	Faculty of Economics	Professor	Singularity theory
Masanori Katsurada	Faculty of Economics	Professor	Algebra (analytic number theory)
Hiroshi Kawabi	Faculty of Economics	Professor	Probability theory, Stochastic analysis
Nobuyuki Tose	Faculty of Economics	Professor	Basic analysis
Naoya Miyazaki	Faculty of Economics	Professor	Differential geometry, Global analysis, Noncommutative geometry
Takayuki Morifuji	Faculty of Economics	Professor	Geometry
Jun Fujisawa	Faculty of Business and Commerce	Professor	Foundations of mathematics/applied mathematics
Kumi Yasuda	Faculty of Business and Commerce	Professor	Foundations of mathematics/applied mathematics
Yuki Suzuki	School of Medicine	Associate Professor	Basic analysis
Mahiro Atsuta	KGRI	Collaborative Researcher	Number theory, Iwasawa theory, ideal class group
Hibiki Tokio	KGRI	Collaborative Researcher	Algebraic number theory, Iwasawa theory, Graph theory, Natural language processing
Kazuki Yamada	KGRI	Collaborative Researcher	Arithmetic geometry, P-adic cohomology, Polylogarithm