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My main research area is complex analysis. One topic I am particularly
interested in is complex dynamics.
This is concerned with the behavior of complex-valued functions
For example, one studies for which starting values the sequence
of iterates converges, whether it has convergent subsequences, etc.
The dependence on parameters other than the starting value is also of
interest. The corresponding subsets of the complex plane are usually
very complicated - and they are appealing also to the non-mathematician.
Some of these pictures are collected in a
But the mathematics behind them is much more beautiful than the pictures!
Other topics in complex analysis where I am interested in are
the theory of entire and meromorphic functions, differential and
functional equations in the complex domain, quasiregular maps in
higher dimension and normal families.
A good, but of course rather technical impression of my research
interests is given by my list of