Poisson geometry in low dimensions

Faculty Member

Ivan Contreras

Project Image


Poisson geometry is an active and dynamic area of research in differential geometry, and it is helpful to understand, among many other things, the evolution of classical physical systems. An example of a Poisson structure is R3, decomposed in concentric spheres (leaves).  The purpose of the project is to visualize and classify certain types of Poisson structures in dimension three and four, by studying their spaces of leaves.


Team Meetings


Project Difficulty


Undergrad Prerequisites


Completion of Calculus 3. Math 415 and basic knowledge in topology and basics of programming are desirable.