PUBLICATIONS and PREPRINTS

with Mario Bonk, Quasisymmetric rigidity of Sierpi\'nski carpets (pdf, ps)

Planar relative Schottky sets and quasisymmetric maps (pdf, ps)
Submitted.

with Mario Bonk and Bruce Kleiner, Rigidity of Schottky sets (pdf, ps)
Amer. J. Math., to appear.

Rapidly growing entire functions with three singular values (pdf, ps)
Illinois J. Math., to appear.

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

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)
Visnyk, Kharkov Nat. Univ., 475 (2000), 133-140.

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

Determining biholomorphic type of a manifold using combinatorial and algebraic structures (pdf, ps)
Ph. D. Thesis, Purdue University, 2003.

This material is based upon work supported by the National Science Foundation under Grants No. DMS-0400636, DMS-0653439, and DMS-0703617. 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.