# ISHIKAWA, Goo:Department of Mathematics,Faculty of Science,Professor,Geometry

- Keyword(s):
- Applied Singularity Theory, Algebraic Curves and Singularities, Hilbert's 16th Problem, Lagrange and Legendre Submanifolds, Developable Submanifolds, Sub-Riemann Geometry, Singularities of Solution-Sapaces to Differential Systems.
- Research Interest:
- Geometry(Singularity Theory, Real Algebraic Geometry, Topology, Non-holonomic Systems)
- Research Activities:
- Singularity theory of mappings:
Lagrange and Legendre singularities,
Singularity theory of exterior differential systems,
Differentiable structures of mapping space quotients,
Catastrophe theory, Thom-Mather theory.
Symplectic and contact geometry:
Characteristic Cauchy problem for Hamilton-Jacobi equations,
Sub-Riemannian geometry,
Projective and Grassmann duality,
Fronts with degenerate Gauss mappings.
Real algebraic geometry:
Topology of real algebraic varieties,
The16th problem of Hilbert,
Topology of real rational curves and Fourier (trigonometric) curves,
Real algebraic homogeneous spaces,
Euler characteristics and Euler obstructions.
- WebPage:
- http://www.math.sci.hokudai.ac.jp/~ishikawa/