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This material is based upon work supported by the National Science Foundation under grants DMS-0400636, DMS-0653439, DMS-0703617, DMS-1001144, DMS-1800180, DMS-2247364. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

• with , Caratheodory convergence and the conformal type problem
  Ann. Fenn. Math., to appear.
  
• with , , and , David extension of circle homeomorphisms, welding, mating, and removability
  Mem. Amer. Math. Soc. 313 (2025), no. 1588, v+110 pp.
  
• On a question of Kwakkel and Markovic on existence of wandering domains with bounded geometry
  Duke Math. J. 174 (2025), no. 9, 1849-1873.
  
• No bounded geometry wandering domains for sufficiently regular automorphisms
  Trans. Amer. Math. Soc. 378 (2025), no. 03, 1503-1530.
  
• with , On Z^d-odometers associated to integer matrices
  Groups Geom. Dyn. 19 (2025), 265-279.
  
• with , , and , On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections
  Conform. Geom. Dyn. 27 (2023), 1-54.
  
• with , Square Sierpinski carpets and Lattes maps
  Math. Z. 296 (2020), no. 1-2, 695-718.
  
• No round wandering domains for C¹-diffeomorphisms of tori 
  Ergodic Theory Dynam. Systems 39 (2019), no. 11, 3127-3135.
  
• with , Quasisymmetries of the basilica and the Thompson group
  Geom. Funct. Anal. 28 (2018), no. 3, 727-754.
  
• with  and , Quasisymmetries of Sierpinski carpet Julia sets
  Adv. Math. 301 (2016), 383-422.
  
• with , From Apollonian packings to homogeneous sets
  Ann. Acad. Sci. Fenn. Math. 40 (2015), no. 2, 711-727.
  
• Local rigidity for hyperbolic groups with Sierpinski carpet boundaries
  Compos. Math. 150 (2014), no. 11, 1928-1938.
  
• Local rigidity of Schottky maps
  Proc. Amer. Math. Soc. 142 (2014), no. 12, 4321-4332.
  
• with , Quasisymmetric Koebe uniformization
  Rev. Mat. Iberoam. 29 (2013), no. 3, 859-910.
  
• with , Quasisymmetric rigidity of square Sierpinski carpets
  Ann. of Math. (2) 177 (2013), no. 2, 591-643.
  
• with , Hausdorff dimension of three-period orbits in Birkhoff billiards
  Nonlinearity 25 (2012), no. 7, 1947-1954.
  
• Planar relative Schottky sets and quasisymmetric maps
  Proc. Lond. Math. Soc. (3) 104 (2012), 455-485.
  
• A Sierpinski carpet with the co-Hopfian property
  Invent. Math., Vol. 180, Issue 2 (2010), 361-388.
  
• with  and , Rigidity of Schottky sets
  Amer. J. Math. 131 (2009), no. 2, 409-443.
  
• Rapidly growing entire functions with three singular values
  Illinois J. Math. 52 (2008), no. 2, 473-491.
  
• with , A hyperbolic surface with a square grid net
  J. d'Analyse Math., Vol. 96 (2005), 357-367. 
  
• with , Nevanlinna functions with real zeros
  Illinois J. Math., 49 (2005), no. 4, 1093-1110.
  
• with  and , A negative answer to Nevanlinna's type question and a parabolic surface with a lot of negative curvature
  Proc. Amer. Math. Soc., 132 (2004), no. 3, 641-647.
  
• Determining biholomorphic type of a manifold using combinatorial and algebraic structures
  Thesis (Ph.D.)-Purdue University. 2003. 65 pp. ISBN: 978-0496-61336-6, ProQuest LLC, Thesis.
  
• with , Maps conjugating holomorphic maps in Cⁿ
  Indiana Univ. Math. J., 52 (2003), no. 5, 1135-1146.
  
• Equivalence of domains with isomorphic semigroups of endomorphisms
  Proc. Amer. Math. Soc., 130 (2002), no. 6, 1743-1753.
  
• On the Cauchy transform of weighted Bergman spaces
  Visnyk, Kharkiv State Univ., 475 (2000), 133-140.
  
• On the Cauchy transform of the Bergman space
  Mat. Fiz. Anal. Geom., 7 (2000), no. 1, 119-127.