Ryan Tully-Doyle, Ph.D.

Ryan Tully-Doyle Headshot
Assistant Professor
Assistant Dean, College of Arts and Sciences

Department of Mathematics and Physics
College of Arts and Sciences

B.S. Mathematics, California Polytechnic State University, San Luis Obispo

Ph.D. Mathematics, University of California, San Diego

Research Interests

I am interested in the use of operator theoretic techniques to solve problems in functional analysis in several variables. In particular, I am interested in generalizing theorems of classical complex analysis concerning important families of analytic functions to the several variable case. I am also investigating functions in non-commuting variables with properties that make them natural on matrix inputs.

Selected Publications

Pascoe, J. E. and R. Tully-Doyle. 2017. Free Pick functions: representations, asymptotic behavior, and matrix monotonicity. Journal of Functional Analysis. doi.org/10.1016/j.jfa.2017.04.001

Tully-Doyle, R. Analytic functions on the bidisk at boundary singularities via Hilbert space methods. 2016. Operators and Matrices. doi.org/10.7153/oam-11-04

Helton, J. W., J. E. Pascoe, R. Tully-Doyle, and V. Vinnikov. 2016. Convex entire noncommutative functions are polynomials of degree two or less. Integral Equations and Operator Theory. doi.org/10.1007/s00020-016-2317-y

Agler, J., R. Tully-Doyle, and N. J. Young. 2016. Nevanlinna representations in several variables. Journal of Functional Analysis. doi.org/10.1016/j.jfa.2016.02.004

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