Mathematical Analysis and Modelling Research Group

About Us

This group develops theoretical techniques through analytical as well as topological and algebraic tools, and apply the ideas and results obtained in the theoretical investigation to problems arising from a wide range of areas, including various important models in differential geometry and natural sciences (biology, chemistry, ecology, physics and rural sciences). The concrete problems we currently work on include the Chern-Simons model in condensed matter physics, the logistic and related models in population biology. Important problems in these applied areas serve as a key source of the topics for investigation by the group.

Research Topics

  • Nonlinear partial differential equations
  • Reaction-diffusion equations
  • Mathematical biology
  • Nonlinear functional analysis
  • Complex analysis
  • CR-Geometry
  • Complex analytic geometry
  • Pseudoholomorphic curves