PERSONAL INFORMATION
Name: Michael Pandazis
Email address: michaelantonypandazis@gmail.com
PROFILE
I graduated from the CUNY Graduate Center with a Math Ph.D. in June of 2024. Broadly speaking, my research falls between the areas of Geometric Function Theory and Low-Dimensional Topology. In my thesis I study the hyperbolic geometry and quasiconformal deformations of infinite Riemann surfaces; in particular, I am considering sufficient conditions on the Fenchel-Nielsen coordinates that result in infinite Riemann surfaces having ergodic geodesic flow. A joint paper with my advisor Dragomir S ̌aric ́ on this topic, entitled Ergodicity of the geodesic flow on symmetric surfaces, is published in Transactions of the American Mathematical Society. This paper was on flute surfaces and surfaces with symmetry and finitely many ends. Moreover, a single-authored paper was accepted for publication by Proceedings of the American Mathematical Society, called “Non-ergodicity of the geodesic flow on a special class of Cantor tree surfaces,” proving the non-parabolicity of blooming Cantor tree surfaces with length parameters between two rates of convergence to zero. It is available as a preprint on Arxiv, arXiv:2310.10415. I am working on a joint paper with Hrant Hakobyan and my advisor Dragomir S ̌aric ́ that proves there are parabolic zero and half-twist flute surfaces with cuff lengths that increase arbitrarily fast. The joint paper is also available as a preprint per request. I have ample teaching experience as an adjunct lecturer in the mathematics department at CUNY Queens College for the last 13 years and from teaching high school students at CUNY Baruch College. My long-term goal is to be a tenured professor. I am energetic, motivated, and determined to excel in all my endeavors.
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