Project IV 2015-2016
Curves on surfaces
Anna Felikson and Pavel Tumarkin
Curves on surfaces are elementary objects encoding a lot of topological and geometric properties of surfaces.
How do the curves intersect? How many (different) closed curves can you place in a surface without intersection? Which groups of transformations
are acting on the curves? How many lengths of the curves you need to know to recover a precise metric structure of the surface?
Studying the curves from topological, combinatorial or geometrical point of view one can reach the following (simple, advanced or very advanced) areas:
Anna Felikson will supervise in Michaelmas and Pavel Tumarkin in Epiphany.
Prerequisites: Algebra II and either Topology III or Geometry III
email: Anna Felikson, Pavel Tumarkin