Dimitrios Ntalampekos

Assistant Professor
Department of Mathematics
Aristotle University of Thessaloniki
541 24 Thessaloniki

Office: Faculty of Sciences, 3rd floor, East Wing, Office 2

Contact: dntalam

math

auth

gr

Research: My primary research interests lie in the fields of Complex Analysis and Analysis on Metric Spaces. Topics include uniformization and rigidity problems in the plane and in metric spaces, quasiconformal geometry of fractal surfaces and metric spaces, and complex dynamics. My current work often relies on an extension of classical results in geometry and analysis to a non-smooth or fractal setting.

Upcoming events

Balkan Mathematics Conference II, Aristotle University of Thessaloniki, Greece, June 12-15, 2025

Recent papers (all papers)

Metric surfaces and conformally removable sets in the plane
Submitted. [arXiv]
Piecewise quasiconformal dynamical systems of the unit circle (joint with Yusheng Luo)
[preprint]
Uniformization of Gromov hyperbolic domains by circle domains (joint with Christina Karafyllia)
Submitted. [arXiv]
Exhaustions of circle domains (joint with Kai Rajala)
Submitted. [arXiv]
Polyhedral approximation and uniformization for non-length surfaces (joint with Matthew Romney)
J. Eur. Math. Soc., to appear. [journal] [arXiv] [slides]
CNED sets: countably negligible for extremal distances
Selecta Math. (N.S.) 30 (2024), no. 4, Paper No. 61, 57pp. [journal] [journal (free access)] [arXiv] [arXiv long version] [slides]
Lipschitz-volume rigidity and Sobolev coarea inequality for metric surfaces (joint with Damaris Meier)
J. Geom. Anal. 34 (2024), no. 5, Paper No. 128, 30pp. [journal] [journal (free access)] [arXiv] [slides]
David extension of circle homeomorphisms, welding, mating, and removability (joint with Misha Lyubich, Sergei Merenkov, and Sabyasachi Mukherjee)
Mem. Amer. Math. Soc., to appear. [arXiv]
Metric definition of quasiconformality and exceptional sets
Math. Ann. 389 (2024), no. 3, 3231-3253. [journal] [journal (free access)] [arXiv] [slides]
Conformal uniformization of planar packings by disk packings
Adv. Math. 428 (2023), Paper No. 109159, 58pp. [journal] [arXiv]
Rigidity and continuous extension for conformal maps of circle domains
Trans. Amer. Math. Soc. 376 (2023), no. 7, 5221-5239. [journal] [arXiv]
Polyhedral approximation of metric surfaces and applications to uniformization (joint with Matthew Romney)
Duke Math. J. 172 (2023), no. 9, 1673-1734. [journal] [arXiv] [slides]
Extension of boundary homeomorphisms to mappings of finite distortion (joint with Christina Karafyllia)
Proc. Lond. Math. Soc. 125 (2022), no. 3, 488-510. [journal] [journal (free access)] [arXiv] [slides]

Past Events

Quasiworld Workshop, University of Helsinki, Finland, August 14-18, 2023
Special Session on Quasiconformal analysis and geometry on metric spaces, AMS Spring Eastern Sectional Meeting, Virtual meeting, April 1-2, 2023
CAFT 2018 - New Developments in Complex Analysis and Function Theory, University of Crete, Heraklion, Greece, July 2-6, 2018