My research concerns the mapping properties of the Bergman projection, a fundamental integral operator in several complex variables that reproduces square-integrable holomorphic functions. I am particularly interested in the weak-type mapping behavior of the Bergman projection on non-smooth domains.

Publications

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.