【Research Area 】　Area of Mathematics (Number of Faculty: 12)

Name	English Name	Position	Research Field	Department in the Master's Course
海老原 円	Ebihara, Madoka	Lecturer	Algebraic Structures	Mathematics
Specialty: Algebraic geometry. Research on the rational connectedness and unirationality of higher dimensional algebraic varieties and their relation to deformations of algebraic varieties.
福井 敏純	Fukui, Toshizumi	Professor	Algebraic Structures	Mathematics
Specialty: Theory of singularities. The main topic of my research is singularities of maps. This includes defining equations of the closure of map trajectories in jet space, their application to classical differential geometry and differential equations, stratification theory, resolution of singularities from a geometric point of view and blow analytic maps.
小池 茂昭	Koike, Shigeaki	Professor	Analytic Structures	Mathematics
Specialty: Nonlinear partial differential equations. Fundamental questions, such as the regularity of viscosity solutions to fully nonlinear uniformly elliptic and parabolic equations, and the application of viscosity solution theory to optimal control theory, etc.
小嶋 久祉	Kojima, Hisashi	Professor	Algebraic Structures	Mathematics
Specialty: Number theory of modular forms. Research on the relation between Fourier coefficients of modular forms with half-integral weight and the critical values of zeta functions, and the higher dimensional Maass spaces of Siegel modular forms.
水谷 忠良	Mizutani, Tadayoshi	Professor	Geometric structures	Mathematics
Specialty: Foliations, Poisson geometry. If one can define a Poisson bracket on the space of maps of a manifold the resulting Poisson manifold can be viewed as a generalized symplectic manifold. My research mainly concerns the associated Lie algebroid and the concomitant foliations and other geometric properties.
長澤 壯之	Nagasawa, Takeyuki	Professor	Analytic Structures	Mathematics
Specialty: Nonlinear analysis. Constructing mathematical models for various nonlinear phenomena that occur in the mathematical sciences and explaining these phenomena using functional analytic methods. Furthermore, solving nonlinear problems in differential geometry and other mathematical disciplines. I am not limiting myself to theoretical aspects, but also try to take the feedback to engineering applications into account.
長瀬 正義	Nagase, Masayoshi	Professor	Geometric Structures	Mathematics
Specialty: Global geometry, in particular studies of various geometric invariants (arising form physics) in spin structure and twistor theory.
太田 雅人	Ohta, Masahito	Associate Professor	Analytic Structures	Mathematics
Specialty: Nonlinear partial differential equations. In particular, research on the stability of solutions for nonlinear wave equations.
酒井 文雄	Sakai, Fumio	Professor	Algebraic Structures	Mathematics
Specialty: Algebraic geometry. Research on the zero sets of polynomials. At the moment, investigation of plane algebraic curves using methods from the theory of algebraic surfaces and the theory of singularities. In particular, the birational equivalence class and the gonalitiy of singular plane curves.
阪本 邦夫	Sakamoto, Kunio	Professor	Geometric Structures	Mathematics
Specialty: Differential geometry. Studies in CR (Cauchy-Riemann) geometry and the theory of submanifolds in Riemannian geometry.
櫻井 力	Sakurai, Tsutomu	Associate Professor	Analytic Structures	Mathematics
Specialty: Determining the properties of solutions of a given partial differential equation using the theory of partial differential equations, pseudo-differential operators, harmonic analysis and functional analysis. In particular, I am interested in the structure of singularities of the solution.
下川 航也	Shimokawa, Koya	Associate Professor	Geometric Structures	Mathematics
Specialty: Theory of three dimensional manifolds, the relationship between knots and three dimensional manifolds. In particular, the theory of Dehn surgery of knots and links.