The main theme of our research is to describe natural phenomena by calculus.
In particular, we study a mathematical model of soap film.
When we make a circle with a wire, dip it into a soapy water, and pull it up,
then a soap film appears.
If we consider this natural phenomenon as a mathematical problem, the soap film may be the surface with the least area among surfaces whose boundaries are given by the wire.
In order to find it, we use the complex function theory and the theory of
partial differential equations.
One of main points of studying Mathematics is to gain skills of logical thinking.
Skills of calculation, using formulas, and memorizing solutions are not only
non-essential points but also a part of studying Mathematics.
The former skill plays important roles after starting your career, and we hope
that you should improve it via Mathematics.
Thesis Topics
- Classical isoperimetric problem
- Variational problems on plane curves
- Symmetry of solutions of differential equations