Research

My primary research interests lie in complex and functional analysis. Recent projects revolve around the exploration of various interpolation problems in the setting of certain reproducing kernel Hilbert spaces and the study of the dynamics of (analytic) self-maps of the bidisc via Hilbert space methods. I am also interested in norm estimates for functions of matrices and von Neumann-type inequalities.

• The complete Pick property for pairs of kernels and Shimorin’s factorization (with Scott McCullough), submitted. arXiv:2405.16319
• Positivity conditions on the annulus via the double-layer potential kernel (with Michael Jury), submitted. arXiv:2307.13387
• Denjoy-Wolff points on the bidisk via models (with Michael Jury), Integr. Equ. Oper. Theory 95, 30 (2023). arXiv:2304.13171
• Interpolating sequences for pairs of spaces, J. Funct. Anal. 285 (2023), no. 7. arXiv:2210.144
• Subinner-free outer factorizations on an annulus, Integr. Equ. Oper. Theory 94, 40 (2022), no. 4. arXiv:2206.02752
• A von Neumann type inequality for an annulus, J. Math. Anal. Appl. 506 (2022), no. 2. arXiv:2106.06013
• A note on a spectral constant associated with an annulus, Oper. Matrices 16 (2022), no. 1, 95–99. arXiv:2106.00176