MASE, Takafumi

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Assistant Professor
Applied Mathematics
Research interests
Integrable systems, discrete dynamical systems
Current research

My research focuses on integrability criteria for nonlinear discrete dynamical systems. I have been studying degree growth, singularity confinement and their relations from the algebraic viewpoint.

Selected publications
  1. "Singularity confinement as an integrability criterion", T. Mase, R. Willox, A. Ramani and B. Grammaticos, J. Phys. A: Math. Theor. 52 (2019), 205201.
  2. "Studies on spaces of initial conditions for nonautonomous mappings of the plane", T. Mase, J. Integrable Syst. 3 (2018), xyy010.
  3. "Investigation into the role of the Laurent property in integrability", T. Mase, J. Math. Phys. 57 (2016), 022703.
  4. "Deautonomization by singularity confinement: an algebro-geometric justification", T. Mase, R. Willox, B. Grammaticos and A. Ramani, Proc. R. Soc. A 471 (2015), 20140956.
  5. "Irreducibility and co-primeness as an integrability criterion for discrete equations", M. Kanki, J. Mada, T. Mase and T. Tokihiro, J. Phys. A: Math. Theor. 47 (2014), 465204.

Memberships, activities and


The Mathematical Society of Japan