Preprints

• Collisions and Spirals of Loewner traces, with J. Lind and S. Rohde, preprint.
  
  
• Lens chains and the geodesic algorithm for conformal mapping, preprint.
  
  
• Angular Derivatives and Lipschitz Majorants.
  Much of this material is now incorporated into the book Harmonic Measure, with J. Garnett (see below).
  
  
• Interpolating Sequences for the Multipliers of the Dirichlet Space, with C. Sundberg
  ADDENDUM: some of the preliminary material on Pick's theorem was previously known. See P. Quiggen, Integral Equations and Operator Theory, 16:244-266. (Thanks to R. Rochberg for pointing this out.)
  
  Talk at El Escorial, June 19, 2009. Rotate view 90 degrees. The geodesic algorithm can be found in Math 534 Notes, near the end. See also Math 534 for other material.

Recent publications

• Area, Capacity, and Diameter versions of Schwarz's Lemma with R. Burckel, D. Minda, P. Poggi-Corradini, and T. Ransford, Conform. Geom. Dyn. 12 (2008), 133-152.
  
  
• Convergence of a variant of the Zipper algorithm for conformal mapping, with S. Rohde, SIAM J. Numer. Anal. 45(2007), 2577-2609.
  
  
• Traps for Reflected Brownian Motion, with K. Burdzy and Z-Q. Chen, Math. Zeit. 252(2006), 103-132.
  
  
• The Loewner differential equation and slit mappings, with S. Rohde, Jour. Amer. Math. Soc., 18(2005), 763-778.
  
  
• Harmonic Measure with J. Garnett, Cambridge University Press, 2005, 587 pp.
         Table of Contents,  Typos, corrections, etc.