Dimitrios Ntalampekos

Upcoming 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

Preprints

• Rigidity and continuous extension for conformal maps of circle domains
  Submitted. [arXiv]
• Conformal uniformization of planar packings by disk packings
  Submitted. [arXiv]
• Polyhedral approximation and uniformization for non-length surfaces (joint with Matthew Romney)
  Submitted. [arXiv]
• Definitions of quasiconformality and exceptional sets
  Submitted. [arXiv]
• David extension of circle homeomorphisms, welding, mating, and removability (joint with Misha Lyubich, Sergei Merenkov, and Sabyasachi Mukherjee)
  Submitted. [arXiv]

Monographs

• Potential Theory on Sierpiński Carpets With Applications To Uniformization
  Lecture Notes in Mathematics, vol. 2268, Springer, Cham, 2020. [published version] [arXiv] [poster]

Publications

• Polyhedral approximation of metric surfaces and applications to uniformization (joint with Matthew Romney)
  Duke Math. J. (2022), to appear. [arXiv]
• 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]
• On the Hausdorff dimension of the residual set of a packing by smooth curves (joint with Steven Maio)
  J. Lond. Math. Soc. 105 (2022), no. 3, 1752-1786. [journal] [journal (free access)] [arXiv]
• Monotone Sobolev Functions in Planar Domains: Level Sets and Smooth Approximation
  Arch. Ration. Mech. Anal. 238 (2020), no. 3, 1199-1230. [journal] [journal (free access)] [arXiv]
• Falconer's \((K,d)\) distance set conjecture can fail for strictly convex sets \(K\) in \(\mathbb R^d\) (joint with Christopher Bishop and Hindy Drillick)
  Rev. Mat. Iberoam. 37 (2021), no. 5, 1953-1968. [journal] [preprint]
• Rigidity theorems for circle domains (joint with Malik Younsi)
  Invent. Math. 220 (2020), no. 1, 129-183. [journal] [journal (free access)] [arXiv] [slides]
• On the inverse absolute continuity of quasiconformal mappings on hypersurfaces (joint with Matthew Romney)
  Amer. J. Math. 143 (2021), no. 5, 1633-1659. [journal] [arXiv]
• Non-removability of Sierpiński spaces (joint with Jang-Mei Wu)
  Proc. Amer. Math. Soc. 148 (2020), 203-212. [journal] [arXiv]
• Non-removability of Sierpiński carpets
  Indiana Univ. Math. J. 70 (2021), no. 3, 847-854. [journal] [arXiv]
• Non-removability of the Sierpiński gasket
  Invent. Math. 216 (2019), no. 2, 519-595. [journal] [journal (free access)] [arXiv] [slides]
• A removability theorem for Sobolev functions and detour sets
  Math. Z. 296 (2020), 41-72. [journal] [journal (free access)] [arXiv]
• Semi-hyperbolic rational maps and size of Fatou components
  Ann. Acad. Sci. Fenn. Math. 43 (2018), 425-446. [journal] [arXiv]

Thesis

• Potential theory on Sierpiński carpets with applications to uniformization
  [ProQuest] [eScholarship]

Past Events

• CAFT 2018 - New Developments in Complex Analysis and Function Theory, University of Crete, Heraklion, Greece, July 2-6, 2018