My primary research interests lie in complex and functional analysis. I have recently worked on problems concerning operator theory on spaces of analytic functions and dynamics in several complex variables. 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), Studia Math. 278, 3 (2024). 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
AMS Fall Central Sectional Meeting, St. Louis University, St. Louis, MO, October 2025
Midwestern Workshop on Asymptotic Analysis, Purdue University Fort Wayne, Fort Wayne, IN, October 2025
Mathematical Congress of the Americas, University of Miami, Miami, FL, July 2025
Young Researchers in Functional Analysis and Mathematical Physics, University of Aveiro, Aveiro, Portugal, July 2025
Operator Analysis on Function Spaces, University of Manitoba, Winnipeg, Canada, June 2025
Analysis, Geometry, and Mathematical Physics Seminar - University of Calgary, Calgary, Canada, March 2025
Joint Mathematics Meetings, Seattle, WA, January 2025. Invited to special sessions New Faces in Operator Theory and Function Spaces and Their Applications (could not attend)
Analysis Seminar - University of Tennessee, Knoxville, TN, September 2024
Seminario Rubio de Francia - University of Zaragoza, Zaragoza, Spain, July 2024
Complex Analysis Seminar - Universidad Autónoma de Madrid, Madrid, Spain, June 2024
Multivariable Operator Theory Conference- Washington University in St. Louis, St. Louis, MO, June 2024
Joint Mathematics Meetings, Special Session: New Faces in Operator Theory and Function Theory, San Francisco, CA, January 2024
Joint Mathematics Meetings, Special Session: Complex Analysis, Operator Theory, and Real Algebraic Geometry, San Francisco, CA, January 2024
PDE and Applied Mathematics Seminar - UC Davis, Davis, CA, December 2023
Wabash Mini-Conference, Indiana University–Purdue University, Indianapolis, IN, September 2023
International Workshop on Operator Theory and its Applications, University of Helsinki, Helsinki, Finland, August 2023
Noncommutative and Functional Analysis Seminar - Saarland University, Saarbrücken, Germany, July 2023
Analysis Winter Meeting, Aristotle University of Thessaloniki, Thessaloniki, Greece, December 2022
Analysis and Probability Seminar - University of Florida, Gainesville, FL, October 2022
OTTER - Operator Theory Talks for Early Researchers, Online, October 2022
2TART - Online Operator Theory and Related Topics, Online, March 2022
Shanks Conference on Constructive Functions, Vanderbilt University, Nashville, TN, May 2025
CIRM Conference: Operators on Analytic Function Spaces, Marseille, France, December 2024
Computational Analysis Seminar - Vanderbilt University, Nashville, TN, October 2024
Southeastern Analysis Meeting, University of Florida, Gainesville, FL, March 2024
Advanced Courses in Operator Theory and Complex Analysis, Aristotle University of Thessaloniki, Thessaloniki, Greece, June 2023
Southeastern Analysis Meeting, Clemson University, Clemson, SC, March 2023
Great Plains Operator Theory Symposium, Washington University in St. Louis, St. Louis, MO, May 2022
Southeastern Analysis Meeting, University of Florida, Gainesville, FL (online), March 2022
Analysis Seminar - Washington University in St. Louis, St. Louis, MO, November 2021
University of Zaragoza, Spain, July 2024, Hosts: Pedro Miana and Glenier Bello (5 days)
Universidad Autónoma de Madrid, Spain, June 2024, Host: Dmitry Yakubovich (2 weeks)
Saarland University, Germany, July 2023, Host: Michael Hartz (7 days)
University of Florida, Gainesville, USA, Fall 2022, Hosts: Michael Jury and Scott McCullough (4 months).