Areas of Interest

Courses

Professional Information

Publications

Contact

Fall 2008 — Intimations of Infinity (Freshman Seminar), Multivariable Calculus, Linear Algebra

Spring 2009 — Abstract Algebra I, Topology

Education:
B.A. in English and Mathematics, University of the South
M.S. and Ph.D. in Mathematics, University of Virginia

Organizations:
American Mathematical Society
Pi Mu Epsilon
Project NExT (ExxonMobil Fellow)

Recent Talks:
Classical Analysis Conference — September 2007 (slides)
Sixth International ISAAC Congress — August 2007 (slides)
Hobart and William Smith Colleges — April 2007 (slides)
Claremont Mathematics Colloquium — April 2007 (slides)
Karim Foroud Memorial Lecture at Fairfield University — April 2006
Recent advances in operator-related function theory — October 2005 (slides)
Southeastern Analysis Meeting (SEAM) — April 2005 (slides)
Union College — May 2004 (slides)
Southeastern Section Meeting of the AMS (Special Session on Linear Operators on Function Spaces) — October 2003 (slides)
Young Analysts Meeting of the Southeast (YAMS) — July 2003
Pi Mu Epsilon Lecture at Washington and Lee University
— March 2003

• Adjoints of composition operators with rational symbol (with J. Moorhouse and M. E. Robbins), J. Math. Anal. Appl. 341 (2008), 626–639. (.pdf)
• Zeros of hypergeometric functions and the norm of a composition operator, Comput. Methods Funct. Theory 6 (2006), 37–50. (.pdf)
• Composition operators with maximal norm on weighted Bergman spaces (with B. J. Carswell), Proc. Amer. Math Soc. 134 (2006), 2599–2605. (.dvi, .pdf)
• The norm of a composition operator with linear symbol acting on the Dirichlet space, J. Math. Anal. Appl. 303 (2005), 499–508. (.dvi, .pdf)
• Isolation and component structure in spaces of composition operators (with B. D. MacCluer), Integral Equations Operator Theory 53 (2005), 269–285. (.pdf)
• On the norm of a composition operator, Ph.D. thesis, University of Virginia, 2003. (.dvi, .pdf)
  
• Norms of linear-fractional composition operators (with P. S. Bourdon, E. E. Fry, and C. H. Spofford), Trans. Amer. Math. Soc. 356 (2004), 2459–2480. (.dvi, .pdf)
• On the norm of a composition operator with linear fractional symbol, Acta Sci. Math. (Szeged) 69 (2003), 813–829. (.dvi, .pdf)