Discipline: 
Mathematics
Status: 
Available
Level: 
Honours Project
Level: 
Summer Project
Supervisor(s): 
Dr Huy The Nguyen

The curve shortening flow is a parabolic geometric flow, which belongs to the family of equations which includes the Ricci flow which was used to prove Thurston's Geometrization conjecture. This project only requires basic differential geometry and would explore the behaviour of solutions of the curve shortening flow and some applications.