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

The Gauss-Bonnet formula is one of the most important results in differential geometry, relating the geometric curvature of a closed surface with the topological Euler characteristic. In this project, you will conduct research on a generalisation of this formula to complete non-compact and singular surfaces, computing the Gauss-Bonnet defect in terms of geometric quantities.