Dimitrios Ntalampekos

[How to pronounce my last name: Dalabekos]

Assistant Professor
Mathematics Department
Stony Brook University
Stony Brook, NY, 11794-3651

Office: Math Tower 3-117

Contact: dimitrios.ntalampekos

stonybrook

edu

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.

My research is partially supported by NSF Grant DMS-2000096 and NSF Grant DMS-2246485.

Seminars

Analysis Seminar - Stony Brook University
Analysis on Metric Spaces Seminar - Stony Brook University - Spring 2023

Recent papers (all papers)

Lipschitz-volume rigidity and Sobolev coarea inequality for metric surfaces (joint with Damaris Meier)
Submitted. [arXiv]
Polyhedral approximation and uniformization for non-length surfaces (joint with Matthew Romney)
Submitted. [arXiv] [slides]
CNED sets: countably negligible for extremal distances
Submitted. [arXiv] [arXiv long version]
David extension of circle homeomorphisms, welding, mating, and removability (joint with Misha Lyubich, Sergei Merenkov, and Sabyasachi Mukherjee)
Submitted. [arXiv]
Metric definition of quasiconformality and exceptional sets
Math. Ann., to appear. [journal] [journal (free access)] [arXiv]
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]

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