Publications and preprints

  1. with V. I. Paulsen, Some new equivalences of Anderson's paving conjecture, Proc. Amer. Math. Soc., 136 (2008), 4275 — 4282.
  2. with Kenneth R. Davidson, Vern I. Paulsen, and Dinesh Singh, A constrained Nevanlinna-Pick interpolation problem, Indiana Univ. Math. J., 58 (2009), 709 — 732.
  3. Nevanlinna-Pick interpolation for $\mathbb{C}+BH^\infty$, Integral Equations Operator Theory, 63 (1) (2009), 103 — 125.
  4. Abrahamse's interpolation theorem and Fuchsian groups, J. Math. Anal. Appl., 355 (2009), 258 — 276.
  5. with Vern I. Paulsen, Representations of logmodular algebras, Trans. Amer. Math. Soc., to appear.
  6. with Brett D. Wick, Duality, tangential interpolation, and Toeplitz corona problems., to appear in Integral Equations and Operator Theory.
  7. with Dinesh Singh, Function theory in real Hardy spaces, to appear in Mathematische Nachrichten..
  8. with Maxim Yattselev, Meromorphic Extendibility and Rigidity of Interpolation, to appear in J. Math. Anal. Appl.
  9. A note on the norm and spectrum of a Foguel operator., submitted.
  10. with Ryan Hamilton, The Toeplitz corona problem for algebras of multipliers on a Nevanlinna-Pick space., arxiv 1104.3821.

Slides

  1. Duality, Tangential interpolation, and Toeplitz Corona Problems. SEAM 26, March 25, 2010. Georgia Institute of Technology, Atlanta, GA, USA.
  2. The Distance Formula in Nevanlinna-Pick Interpolation. SEAM 27, March 18, 2011. University of Florida, Gainesville, FL, USA.
  3. Interpolating sequences for subalgebras of H infinity and the multiparameter Dirichlet space. AMS Sectional, November 6, 2010, University of Richmond, Richmond, VA, USA.
  4. Interpolation and Fuchsian groups. 21st International Workshop on Operator Theory and Applications, July 16, 2010, Technische Universitat, Berlin, Germany.
  5. Extremal solutions to the Nevanlinna-Pick problem and Fuchsian Groups. Analysis Seminar, November 4, 2009. University of Virginia, Charlottesville, VA, USA.