Tag Archives: Richard Dedekind

Lecture 12: Monday, September 16, 2013

Last time, we introduced the Fundamental Domain in terms of the extended complex plane . Felix Klein showed the existence of a function , invariant under , giving these isomorphisms. Today, we use Richard Dedekind‘s function to create similar functions … Continue reading

Posted in MA 59800 | Tagged , , , , , , , , | 2 Comments

Lecture 11: Friday, September 13, 2013

Over the past several lectures, we have focused on triangle groups and ways to tesselate both the plane and the sphere. In order to generalize this, we will focus on ways to tesselate compact, connected Riemann surfaces. Today we’ll begin … Continue reading

Posted in MA 59800 | Tagged , , , , , , | 3 Comments