Mathematics Course, Department of ScienceSearch by department
An introduction to faculty staff members and laboratories in the Mathematics Course, Department of Science.
Note: Information on the laboratories is current as of the 2016 academic year. There may be changes to this information in the 2017 academic year.
 Algebraic Analysis Laboratory

Takashi AOKI
Professor
 Algebraic Analysis of Singular Perturbation Theory
 Infinite series is taught as part of senior high school mathematics, but only convergent infinite series. However, there are also divergent series, which can be very helpful depending on how they are used. Research is conducted into new mathematical applications using divergent series.
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 Manifold Laboratory

Toru IKEDA
Professor
 Topology, 3D Manifolds, Knot Theory
 A 3manifold is a space in which a 3D coordinate system can be drawn around arbitrary points. Although it’s difficult to visualize an entire 3manifold, work here involves cutting and pasting spaces and curves in order to study geometric properties such as symmetry.
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 Topology Laboratory

Kazuhiro SAKUMA
Professor
 Topology
 This field is also called rubbersheet geometry, and research here focuses on the relationship among figures regardless of things like length and size. Intriguing phenomena that do not exist in the world of five or more dimensions are encountered in 3D and 4D manifolds.
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 Integrable Systems Laboratory

Kanehisa TAKASAKI
Professor
 Algebraic Analysis, Mathematical Physics, Integrable Systems
 Solvable models of mathematical physics are referred to as `integrable systems'. I am studying integrable systems and mathematical physics by the method of algebraic analysis. Not only being extremely interesting in themselves, integrable systems are also closely related to many other fields of mathematics.
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 Combinatorics Laboratory

Tsunenobu ASAI
Associate Professor
 Finite Group Theory
 Research is conducted into finite groups and combinatorial structures constructed from groups.
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Kentarou IHARA
Associate Professor
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 Group Theory Laboratory

Fumihito ODA
Associate Professor
 Representation Theory of Finite Groups
 Examination is carried out into finite groups and their representation using a category theory approach. Research is conducted into group actions on simplicial complexes, semiordered sets, and modules.
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 Special Functions Laboratory

Takao SUZUKI
Associate Professor
 Special functions and Integrable systems
 Research is conducted into differential equations in complex domains, and the special functions defined as the solution to these equations. With their relation to various fields, such as pure mathematics and applied mathematics, special functions represent an attractive area of research.
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 Applicable Algebra Laboratory

Koji CHINEN
Associate Professor
 Analytic Number Theory, Coding Theory
 Coding theory is about ways to properly relay information. It is a comprehensive theory that is the result of numerous mathematical developments. Research is conducted with a focus on algebra, including coding theory as a mathematical theory and related group theory, and ring theory. Research is also conducted into analytic number theory as it relates to ciphers.
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 Computational Algebraic Analysis Laboratory

Yayoi NAKAMURA
Associate Professor
 Computational Algebraic Analysis
 Using computational algebraic analysis, research is conducted on residues and bfunctions. By the usage of residues, polylogarithm and zeta function are studied.
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 Microlocal Analysis Laboratory

Yutaka MATSUI
Associate Professor
 Mathematics, Algebraic Analysis, Microlocal Analysis
 The field of specialty here is algebraic analysis, which grew out of research into differential equations. Using combinatorics and microlocal analysis, research is conducted into reversion formulas of radon transforms of constructible functions, and the behavior of images.
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 Discrete Mathematics Laboratory

Tomoki YAMASHITA
Associate Professor
 Graph Theory
 Most discrete structures can be expressed in graph form. Graph theory represents a major research field of discrete mathematics. Here, research is conducted into extremal graph theory, which is the relationship between invariants and local substructures of the graph.
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 Knot Theory Laboratory

In Dae JONG
Lecturer
 Knot Theory
 Research is conducted into knot theory and lowdimension topology (3D and 4D). To investigate knots mathematically, often the invariants of knots are used. Research takes an interest in the relation between the algebraic properties of invariants and the geometrical properties of knots.
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