P |
FUJII, Michihiko |
Hyperbolic geometry, Geometry of discrete groups |
I am interested in hyperbolic geometry and geometric group theory. Recently, I am developing the algorithm to compute the growth seriesof finitely generated groups by using combinatorial and geometic group theoretic methods. |
P |
KAMIYAMA, Yasuhiko |
Topology |
My research interests are mainly in topology such as configuration spaces and mapping spaces. For example, I study the configuration space of a linkage and the space of holomorphic maps between complex manifolds. |
P |
TSUKUDA, Shuichi |
Algebraic Topology |
Homotopy theory of mapping spaces, configuration spaces and classifying spaces. |
AP |
SUDO, Takahiro |
Operator Algebras |
Study on operator algebras of bounded linear operators on an infinite dimensional Hilbert space. In particular, study on the structure analysis for Lie group $C^*$-algebras and their nonocommutative dimension theory. |
AP |
HAYASHI, Masafumi |
Probability Theory |
My research interests are in the area of stochastic analysis. I am interested in studying the existence and smoothness of the density of random variables that may not be smooth in the Malliavin sense. |
P |
KIMOTO, Kazufumi |
Representation Theory, Zeta functions |
(1) I am investigating the representation-theoretic aspect of the so-called Alpha-determinant, which is defined as a parametric deformation of the ordinary determinant. (2) I am also working to clarify arithmetic properties of special values of the spectral zeta function associated to the noncommutative harmonic oscillator, which is a certain system of differential equations. |
P |
HASHIMOTO, Yasufumi |
Number Theory, Cryptography |
1. Study of primitive geodesics and spectrum of Laplacian on hyperbolic manifolds with trace formulas and zeta functions. 2. Study of public key cryptography (mainly RSA and MPKC). |
AP |
CHEN, Chunhang |
Mathematical Statistics |
My research area is mathematical statistics, mainly nonlinear time series analysis. My recent research interests include the followings: Statistical analysis of financial asset prices with Jump-GARCH models Statistical analysis of occurrence risks of tremendous natural disasters with Levy processes, marked point processes and spatial time point processes. |
AP |
NAKAOKA, Hiroyuki |
Category Theory / Homological Algebra |
I am conducting research on category theory, particularly the formulation of categorical frameworks for homological algebra, with a primary focus on applications in algebra. |
P |
TOKUSHIGE, Norihide |
Combinatorics |
I work with extremal combinatorics using combinatorial, algebraic, and probabilistic methods. |