Our department offers Masters of Science degree in both pure and applied mathematics, which are designed to give students a broad mathematical foundation to help them to pursue a successful academic or non-academic career. In this graduate program, students work with the faculty members whose research interests lie in various fields of pure and applied mathematics, such as algebra, geometry, analysis, statistics, probability theory, and information science. The department has its own research library and computer facilities to enhance its education/research environment for the faculty members and students and is considered as one of the leading academic institutions in the Chugoku-Shikoku region.
One of my research topics is the modern enumerative geometry with focus on combinatorial and algebraic studies of homogeneous spaces. The area is also related to representation theory and integrable systems.
・Laboratory of Applied Analysis.
・Numerical analysis for inverse problems of partial differential equations.
・My research area is numerical study for inverse problems of partial differential equations.
Especially, I am interested in the uniqueness and stability analysis for the solution, and explicit reconstruction formula for the solution of inverse problems and its implementation.
Structure of solutions for boundary value problems
Structure of solutions, for example, exact multiplicities of solutions and bifurcation phenomena, to boundary value problems is studied.
My field of work is number theory in function fields. In particular, a significant part of my research is concerned with modular forms and arithmetic varieties. I use Drinfeld modules to work on function fields.
My research interests mainly lie in topology and geometry.In particular, I am interested in the symmetry of spaces, called group actions on spaces. Recently I work on torus actions on spaces.
My main concerns are to realize and to investigate representations of certain graded Lie algebras and related groups, especially generalized Kac-Moody algebras and groups, which are infinite-dimensional in general.
In graph theory, an isomorphism problem is the computational problem of determining whether two finite graphs are isomorphic.I am interested in the algorithm to solve the graph isomorphism problem.
My research interest is:
* algebraic geometry (geometry for zero sets of polynomials),
* moduli theory (parameterizing space of geometric objects)
* singularities (points at which space is not "smooth").
Many of my research interests lie in the field of qualitative theory of functional equations (e.g. ordinary differential equations; difference equations). In particular, I have dealt with Lyapunov stability,oscillatory, Hyers-Ulam stability, rectifiability problems.
My research interest is:
●Reaction diffusion equation(traveling wave, dynamical system)
●Geometric partial differential equation(Ricci flow, curvature flow,Yamabe flow e.t.c.)
●Structure of singularities (blow-up, quenching, extinction phenomena of nonlinear parabolic PDE)
I am interested in algebraic and combinatorial structures related to the symmetry of geometric spaces. In particular, I work on Schubert calculus and toric topology.
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