Project III, 2017-2018
Projective geometry is the geometry where every two lines have a unique intersection point. This is also the underlying idea of perspective which one can often find in the works of Renaissance artists. As it is characterised by A. Cayley, "projective geometry is all geometry" - since one can understand all other types of geometries (affine, Euclidean, spherical, hyperbolic, etc) as special cases of projective geometry. Some of the possible things to study in the project would be
Prerequisites: Algebra II.
Resources:There are many nice books (or book chapters) on projective geometry. You may start with the following:
- Nigel Hitchin, Projective geometry.
email: Anna Felikson