Invariants of generic curves in the plane and on closed surfaces.

Undergraduate research project at NTU, School of Physical and Mathematical Sciences.

Goals:

- systematize the knowledge on invariants of long and closed curves
- find ways to encode curves to work with them on a computer
- develop algorithms to compute invariants and estimate complexity of those algorithms

Supervisor: Fedor DUZHIN

Student: Zenas WONG: MATLAB software to draw curves and calculate invariants. | Student: TAO Biaoshuai: Research on explicit formulae for invariants of closed curves on the plane and on surfaces and of long curves. |