Description
Elliptic
functions are a classical and most beautiful topic of
complex analysis which in fact was crucial in development of
the field. Their rich structure and applications are truly
remarkable.
In this project, we still study
- Weierstrass theory of
elliptic functions.
- Connections with
elliptic curves and elliptic
integrals:
(and why `elliptic' even though it has little to do with
ellipsis...)
- Further Topics (term2): Jacobi theory of
elliptic functions, connections to number
theory, physics
etc...
Resources and Outline
There are many textbooks on the subject, but in term 1 we
will mainly study the lecture notes of a (discontinued) one
term course and its problem sheets covering the first two
topics above.
For term 2 we
will then also consult other resources depending on
interest.
Warning
I will be away on research leave in term 2, so the
supervision will happen remotely during that period.
Prerequisites
- Complex Analysis II
- Algebra IIs
- Interest in pure mathematics, demonstrated by taking
pure year III modules such NT III and/or
Analysis&Topology III
email: J Funke
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