Convex Projective Surfaces

This project is concerned with real projective structures on surfaces. It will extend methods for arithmetic Fuchsian groups from hyperbolic geometry to projective geometry, and provide interesting classes of arithmetic or semi-arithmetic projective structures that are non-hyperbolic. It will generalise algorithms for arithmetic Fuchsian groups, and analyse sequences of arithmetic groups and their limits.

Cameron Eggins

The University of Sydney

Cameron is a third-year undergraduate student, studying mathematics and computer science at The University of Sydney. He is very interested in most areas of pure mathematics, especially number theory and analysis. Cameron has previously been supervised by Dmitry Badziahin on continued fractions of Laurent series and the approximational properties of irrational numbers, and Stephan Tillman on Schottky groups and fractals generated by them. These projects and various maths subjects throughout university have instilled a great passion for pure mathematics, and he hopes to further pursue this in honours and post-graduate studies.

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