PUBLICATIONS AND PREPRINTS

Local rigidity of Schottky maps (pdf, ps)
Submitted.

with Vadim Zharnitsky, Hausdorff dimension of three-period orbits in Birkhoff billiards
Submitted.
http://front.math.ucdavis.edu/1112.2745

with Kevin Wildrick, Quasisymmetric Koebe uniformization
Submitted.
http://front.math.ucdavis.edu/1109.3441

with Mario Bonk, Quasisymmetric rigidity of square Sierpinski carpets
Submitted.
http://front.math.ucdavis.edu/1102.3224

Planar relative Schottky sets and quasisymmetric maps (pdf, ps)
Proc. Lond. Math. Soc., to appear.
DOI 10.1112/plms/pdr038

A Sierpinski carpet with the co-Hopfian property (pdf, ps)
Invent. Math., Vol. 180, Issue 2 (2010), 361-388.
DOI 10.1007/s00222-010-0231-5

with Mario Bonk and Bruce Kleiner, Rigidity of Schottky sets
Amer. J. Math. 131 (2009), no. 2, 409-443.
http://front.math.ucdavis.edu/1102.4381

Rapidly growing entire functions with three singular values (pdf, ps)
Illinois J. Math. 52 (2008), no. 2, 473-491.

with Lukas Geyer, A hyperbolic surface with a square grid net
J. d'Analyse Math., Vol. 96 (2005), 357-367.
http://arXiv.org/abs/math.CV/0409560

with Alexandre Eremenko, Nevanlinna functions with real zeros
Illinois J. Math., 49 (2005), no. 4, 1093-1110.
http://arXiv.org/abs/math.CV/0310496

with Itai Benjamini and Oded Schramm, 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.
http://arXiv.org/abs/math.CV/0209334

Determining biholomorphic type of a manifold using combinatorial and algebraic structures (pdf, ps)
Thesis (Ph.D.)–Purdue University. 2003. 65 pp. ISBN: 978-0496-61336-6, ProQuest LLC, Thesis.

with Gregery Buzzard, Maps conjugating holomorphic maps in Cⁿ
Indiana Univ. Math. J., 52 (2003), no. 5, 1135-1146.
http://arXiv.org/abs/math.CV/0301120

Equivalence of domains with isomorphic semigroups of endomorphisms (pdf, ps)
Proc. Amer. Math. Soc., 130 (2002), no. 6, 1743-1753.

On the Cauchy transform of weighted Bergman spaces (pdf, ps)
Vestnik, Kharkov Nat. Univ., 475 (2000), 133-140.
http://vestnik-math.univer.kharkov.ua/vol475.htm

On the Cauchy transform of the Bergman space (pdf, ps)
Mat. Fiz. Anal. Geom., 7 (2000), no. 1, 119-127.

This material is based upon work supported by the National Science Foundation under Grants DMS-0400636, DMS-0653439, DMS-0703617, DMS-1001144. 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.