ryan tully-doyle
office: Maxcy 306
office hours: TR 11-12, F 12-2
email: rtullydoyle@newhaven.edu
research interests:
functional analysis, operator theory, several complex variables [ cv ]
teaching: [ math 3303 ] [ math 3311 ] [ math 3371 ]
resources: Wolfram Alpha ShareLaTeX LaTeX symbols
conference slides:
Department Seminar, 9/6: Is 1 + 2 + 3 + ... = -1/12 (50 minute version)
MAA NES Spring 2018: Is 1 + 2 + 3 + ... = -1/12? (20 minute version)
IWOTA 2018: Escaping nontangential approach
papers:
Refereed journal articles
- Representation of free Herglotz functions (with J. E. Pascoe and B. Passer), to appear, Indiana University Journal of Mathematics, 2018
- Free functions with symmetry (with J. E. Pascoe, D. Cushing), Mathematische Zeitschrift, 2017
- Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables (with J. E. Pascoe), Journal of Functional Analysis, 2017 273(1)
- Analytic functions on the bidisk at boundary singularities via Hilbert space methods, Operators and Matrices, 2017 11(1) 55-70
- Convex entire noncommutative functions are polynomials of degree two or less (with J.W. Helton, J. E. Pascoe, and V. Vinnikov), Integral Equations and Operator Theory , 2016 86(2) 151-163
- Nevanlinna Representations in Several Variables (with J. Agler, N.J. Young), Journal of Functional Analysis, 2016 270
- Boundary Behavior of Analytic Functions of Two Variables via Generalized Models (with J. Agler, N.J. Young), Indagationes Mathematicae 2012 23 995-1027
Papers in submission:
- Cauchy transforms arising from homomorphic conditional expectations parametrize free Pick functions but those arising from conditional expectations do not (with J. E. Pascoe), in revision
Papers in preparation:
- Escaping non-tangentiality: towards a higher order Julia-Caratheodory theory based on amortized tangential approach. (with J. E. Pascoe and M. Sargent).
My mathematical brother: J. E. Pascoe
Linear algebra code examples: solving a system with mathematica