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Level: BSc, MSci, MSc
Title: Gauss-Bonnet formula for singular surfaces
Supervisor:

Dr Hug Nguyen
Research Area: Geometry and Analysis
Description:

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.
Further Reading:

Literature suggestions will be supplied.
Key Modules:
Other Information:

MTH5109 Geometry II: Knots and Surfaces

MTH5104 Convergence and Continuity

MTH5105 Differential and Integral Analysis

Current Availability: Yes