My research lies at the intersection of complex and harmonic analysis, where I explore the regularity of singular integral operators, particularly on non-smooth domains. I am interested in the weak-type and endpoint mapping behavior of the Bergman projection and other related integral operators.
Weak-type regularity of the Bergman projection on rational Hartogs triangles, with K.D. Koenig, Proceedings of the American Mathematical Society 151(4), 2023, 1643-1653.
Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C^3, with K.D. Koenig, Complex Variables and Elliptic Equations 69(10), 2024, 1723-1738.
Weak-type regularity of the Bergman projection on non-smooth domains, PhD Thesis, The Ohio State University, 2024.
Endpoint behavior of the Bergman projection on a class of n-dimensional Hartogs triangles, with K.D. Koenig, Complex Analysis and Operator Theory, 18(180), 2024.
Lower endpoint blowup of the Bergman projection on non-smooth Hartogs domains in C^n, with L. Chen, Journal of Geometric Analysis, 36(12), 2026.Â
Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and $H^\infty$, with Z. Huo, N.A. Wagner, Y. Zeytuncu, submitted
Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C^n, C. Kurzenknabe and S. Sundar, PUMP Journal of Undergraduate Research, 9, 2026.