Seminars

Analysis Seminar  Stony Brook University 
Analysis on Metric Spaces Seminar  Stony Brook University  Spring 2023
Recent papers (all papers)

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 nonlength surfaces (joint with Matthew Romney)
J. Eur. Math. Soc., to appear. [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] 
Lipschitzvolume 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, 32313253. [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, 52215239. [journal] [arXiv] 
Polyhedral approximation of metric surfaces and applications to uniformization (joint with Matthew Romney)
Duke Math. J. 172 (2023), no. 9, 16731734. [journal] [arXiv] [slides] 
Extension of boundary homeomorphisms to mappings of finite distortion (joint with Christina Karafyllia)
Proc. Lond. Math. Soc. 125 (2022), no. 3, 488510. [journal] [journal (free access)] [arXiv] [slides]
Past Events

Quasiworld Workshop , University of Helsinki, Finland, August 1418, 2023 
Special Session on Quasiconformal analysis and geometry on metric spaces , AMS Spring Eastern Sectional Meeting, Virtual meeting, April 12, 2023 
CAFT 2018  New Developments in Complex Analysis and Function Theory , University of Crete, Heraklion, Greece, July 26, 2018