Research
My research interests are in the area of Complex
Analysis and Complex Dynamics. In particular, I have been working on
small divisor problems in complex dynamics, on classification of
Riemann surfaces, and on zeros of harmonic polynomials. Here is a list
of recent preprints, most of them in gzipped Postscript. PDF versions will be online very
soon. If you have trouble opening or printing any of the files, please send me an email to geyer@math.montana.edu.
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[PS] Linearization of saturated polynomials
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[PS] Smooth Siegel discs without number theory: A remark on a proof by
Buff and Cheritat
- [PS] [PDF] Herman Rings and Arnold Disks,
joint with Xavier Buff, Nuria Fagella and Christian Henriksen, to appear
in Journal of the London Math. Society
- [PS] Sharp bounds for the valence of
certain harmonic polynomials
- A hyperbolic surface with a square grid net, joint with Sergei Merenkov, to appear in Journal d'Analyse Mathematique