Faculty Guidance  Department Guidance  Laboratory Guidance  Staff Index  Research Institute   TOP > Laboratory Guidance > Laboratory of Mathematical Science Complex Analysis ( 1 ) Closed Riemann surface Certain kinds of meromorphic functions on closed Riemann surfaces. Automorphism groups of the surface. Jacobi varieties and theta functions. ( 2 ) Open Riemann surfaces Structure of Abelian differentials on open Riemann surfaces and its application to conformal mappings. Review of application of complex analysis to hydrodynamics from a new view point. Algebraic Geometry, Number Theory ( 1 ) Deformation of algebraic (esp. elliptic) curves by attaching a Riemann sphere (a sphere or a handle.) ( 2 ) Elliptic curves over function fields. Symbolic Computation ( 1 ) Mathematics education using computer system CAI of applied mathematics using Maple. ( 2 ) Analytic continuation of numerical solutions of algebraic equations with one-parameter coefficients of degree three and four using Maple. Partial Differential Equations Hyperbolic systems of conservation laws play an important role in science and eingineering. Its typical example is the Euler equation which describes the motion of gas. We make theoretical and numerical approach to this problem. Wavelet We are interested in wavelet analysis and its applications to image processing and signal processing. Ryutaro HORIUCHI Professor TEL : +81-774-65-6651 FAX : +81-774-65-6777   Email : rhoriuti   Office : SC-521 Kiyoshi MIZOHATA Associate Professor TEL : +81-774-65-6666 FAX : +81-774-65-6803   Email : kmizoha   Office : SC-606 · Closed Riemann face · Algebraic curve · Elliptic curve · Jacobi variety · Symbolic computation · Open Riemann surface · Abelian integral · Partial Differential Equations · Wavelet SC-509,SC-510,SC-519   | CONTACT US |