| Subject: | Differential Geometry |
| Degree: | Department of Mathematics, University of Ioannina |
| PhD: | Department of Mathematics, Humboldt University of Berlin PhD Thesis: On the spectrum of Schrödinger operators under Riemannian coverings |
| Research Interests: | Differential Geometry, Global Analysis |
| Office: | 222, 2nd Floor, Building A |
| Contact with students: | |
| Tel: | +30 22310 60 |
| E-mail: | ppolymerakis@uth.gr |
| Personal Webpage: | https://sites.google.com/view/panagiotis-polymerakis/home |
Panagiotis Polymerakis received a Degree in Mathematics from the Department of Mathematics of the University of Ioannina, a Master’s Degree from the Department of Mathematics of the University of Bonn and a PhD from the Department of Mathematics of the Humboldt University of Berlin. His research focuses mostly on Spectral Geometry. He is also interested in harmonic functions on Riemannian manifolds and discrete groups, exploiting methods from Stochastic Analysis. He was a Postdoctoral Researcher at the Max Planck Institute for Mathematics and at Laval University. He taught graduate courses at the Department of Mathematics of the University of Bonn and at the Department of Mathematics of the Humboldt University of Berlin.
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- W. Ballmann and P. Polymerakis, On the essential spectrum of differential operators over geometrically finite orbifolds, to appear in J. Differential Geom.
- P. Polymerakis, Coverings preserving the bottom of the spectrum, to appear in J. Spectr. Theory.
- G. P. Bessa, V. Gimeno and P. Polymerakis, The spectrum of the Laplacian and volume growth of proper minimal submanifolds, Math. Z. 301 (2022), 2761–2770.
- P. Polymerakis, Positive harmonic functions on groups and covering spaces, Adv. Math. 379 (2021), 107552, 8 pp.
- W. Ballmann and P. Polymerakis, Equivariant discretizations of diffusions and harmonic functions of bounded growth, Israel J. Math 246 (2021), no. 1, 32 pp.
- P. Polymerakis, Spectral estimates for Riemannian submersions with fibers of basic mean curvature, J. Geom. Anal. 31 (2021), no. 10, 9951-9980.
Selected Topics in Algebra and Geometry II
