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Laboratory Introduction (Department of Mathematical Sciences)

RESEARCH THEMES Examples of student research topics

  • Estimation of mixing times for hard core models using grand coupling
  • Best choice question considering second place
  • Repeated game prisoner's dilemma
  • Nim's Grandi numbers with moves across multiple mountains
  • On the uncertainty of singular points of m-th order linear ordinary differential equations
  • Jacobi elliptic functions
  • Combinatorics of non-intersecting paths and plane partitions
  • Final scale equation for infectious disease mathematical models
  • Stability analysis of uniform solutions in optimal velocity models.
  • Measuring viewpoint position from a photograph of Tennis Court
  • Making models of extremely small curved surfaces using a 3D printer
  • Polynomial invariants of links —Focusing on torus links and Conway polynomials—
  • Lie algebras of vector fields with polynomial coefficients on higher dimensional spheres
  • On the group of symmetries of flat origami
  • On the division and filling congruence of polygons in the hyperbolic plane
  • On the GKZ equations with Kummer's confluent hypergeometric series as series solutions
  • Enumeration of Euler squares derived from finite fields
  • Projective plane and its applications to coding theory
  • Stationary distributions of finite Markov chains
  • On the Galton-Watson process
  • Analysis of relationships between macroeconomic variables using VAR and SVAR-LiNGAM models
  • Causal inference based on propensity scores and its application to estimating the effects of education

LABORATORY LIST Research themes and contents

Teacher Name Research Topics
Naoyuki Ichihara
Hidehiro Kaise
■ Research on optimal control
■ Research on Dynamic Programming Methods
Kenji Taniguchi
Teruhisa Tsuda
Yukihiko Nakata
Hiromichi Nakayama
Kyo Nishiyama
Tetsu Masuda
Yoshifumi Matsuda
Taku Yamanaka