Project III, 2018-2019

Combinatorics of polytopes

Anna Felikson and Pavel Tumarkin

Plytopes are higher-dimensional analogues of polygons and polyhedra. They have attracted scientists' attention starting from Plato's time, and remain an important object of study in different branches of contemporary mathematics.

Some of the possible things to study in the project would be

Anna Felikson will supervise in Michaelmas and Pavel Tumarkin in Epiphany.

Prerequisites: Algebra II.

Corequisite: Geometry III. Topology may also be useful.


There are many nice books and articles on combinatorics of polytopes. You may start with the following: More reading on polytopes can be found here.

emails: Anna Felikson, Pavel Tumarkin