Dimitrios Ntalampekos

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