Papers

Note: the versions here may differ from the final published versions.

  • 16. Does every contractive analytic function in a polydisk have a dissipative n-dimensinoal scattering realiztion? Preprint. PDF

  • 15. Universal commutative operator algebras and transfer function realizations of polynomials, Integral Equations and Operator Theory, to appear. PDF

  • 14. Nevanlinna-Pick interpolation on distinguished varieties in the bidisk (with G. Knese and S. McCullough), Journal of Functional Analysis, 262 (2012), 3812--3838.PDF (updated January 2012)

  • 13. Valiron's theorem in the unit ball and spectra of composition operators, Journal of Mathematical Analysis and Applications, 368 (2010), 482--490. PDF

  • 12. Composition operators on Hardy spaces of a half plane (with S. Elliott), Bull. London Math. Soc., to appear. PDF

  • 11. Agler interpolation families of kernels (with G. Knese and S. McCullough), Operators and Matrices, 3 No. 4 (2009), 571--587. PDF

  • 10. Completely positive maps induced by composition operators, preprint. PDF

  • 9. Operator-valued Herglotz kernels and functions of positive real part on the ball, Complex Analysis and Operator Theory, 4 No. 2 (2010), 301--317. PDF

  • 8. An improved Julia-Caratheodory theorem for Schur-Agler mappings of the unit ball, Complex Variables and Elliptic Equations, to appear. PDF

  • 7. Norms and spectral radii of linear fractional composition operators on the ball, Journal of Functional Analysis, 254 No. 9 (2008), 2387--2400. PDF

  • 6. The Fredholm index for elements of Toeplitz-composition C*-algebras, Integral Equations and Operator Theory, 58 No. 3 (2007), 341-362. PDF

  • 5. Reporducing kernels, de Branges-Rovnyak spaces, and norms of weighted composition operators, Proc. Amer. Math. Soc., 135 No. 11 (2007), 3669-3675. PDF

  • 4. C*-algebras generated by groups of composition operators, Indiana Univ. Math. J., 56 No. 6 (2007), 3171--3192. PDF

  • 3. Invariant subspaces for a class of complete Pick kernels, Proc. Amer. Math. Soc., 133 No. 12 (2005), 3589-3596. PDF

  • 2. Partially isometric dilations of noncommuting N-tuples of operators (with D. Kribs), Proc. Amer. Math. Soc., 133 No. 1 (2005), 213-222. PDF

  • 1. Ideals in free semigroupoid algebras from directed graphs (with D. Kribs), Journal of Operator Theory, 53 No. 2 (2005), 273-302. PDF

    • Recent Talks

    A talk is defined as "recent" if I have beamer slides for it.

  • 12-2 Geometric properties of Schur class mappings of the unit ball in C^n
    Special session on Complex Analysis, Geometry, and Probability, AMS Central Section Meeting, Lawrence, KS, March 2012

  • 12-1 "Noncommutative" Aleksandrov-Clark measures
    Special Session on Several Complex Variables and Operator Theory, Joint Mathematics Meetings, Boston, January 2012

  • 11-2 Analysis on varieties
    Florida Analysis Seminar, Lakeland FL, May 2011

  • 11-1 Commutative operator algebras and realizations of polynomials on domains in C^n
    Special Session on Multivariable Operator Theory, Joint Mathematics Meetings, New Orleans, January 2011

  • 10-1 Nevanlinna-Pick interpolation in hypo-Dirichlet and related algebras
    Special Session on Operator Theory, AMS Southeastern Section meeting, Richmond, 2010.    

  • 09-1 Schur class functions on the unit ball in C^n
    Conference on Classical Analysis in One and Several Complex Variables, UNC, 2009    

  • 08-2 Function-theoretic aspects of Schur class mappings of the unit ball
    IWOTA 2008, Williamsburg

  • 08-1 Operator-valued Herglotz kernels and functions of positive real part on the ball
    IWOTA 2008, Williamsburg (Special Session on Multi-variable Operator Theory)

  • 07-2 Composition operators induced by Schur class mappings
    Conferenece in Classical Analysis, UNC, 2007

  • 07-1 C*-algebras, composition operators, and dynamics
    SEAM XXIII (2007), Richmond

  • 06-1 C*-algebras generated by non-unitary group representations
    Colloquium, University of Virginia, 2006