What is topology?
Topology is a qualitative study of shapes and other mathematical
objects. It has evolved from features of geometry where specific
measurments are not relevant. Modern topology uses tools from algebra
and heavily interacts with other branches of mathematics such as
dynamical systems, analysis, or algebraic geometry.
Click on the following links to find out what kinds of things
topologists like to think about.
Several faculty members work in an area called Geometric Group
The idea is to try to understand abstract groups by representing them
as symmetry groups of nice spaces and then to study the topology and
geometry of these spaces. An important such space is Hyperbolic
Plane. Look at some pictures
For many more examples, plus a history of topology and how it fits in
modern mathematics follow this link.
Selected former PhD students:
Check out what's happening at the seminar.