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

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


  • 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.