Research Interest:

Several Complex Variables, Harmonic Analysis, Operator Theory.

Publications:

• L^p regularity of the Bergman projection on the symmetrized polydisc. (joint with B. D. Wick), (preprint,) 2023.

• On spectra of Hankel operators on the polydisc, (joint with Z. Cuckovic and S. Sahutoglu), (preprint), 2022.

• The commutator of the Bergman projection on strongly pseudoconvex domains with minimal smoothness, (joint with B. Hu, L. Lanzani, K. Palentia, N. A. Wagner), accepted in J. Funct. Anal., 2023.

• Weighted estimates of the Bergman projection with matrix weights, (joint with B. D. Wick), accepted in Comtemp. Math.

• Zero products of Toeplitz operators on Reinhardt domains. (joint with Z. Cuckovic and S. Sahutoglu), Canadian Math. Bull., 65(1): 170-179, 2022.   

• Dyadic Carleson embedding and sparse domination of weighted composition operators on strictly pseudoconvex domains, (joint with B. Hu), Bull. Sci. Math., 173: 103067, 2021

• Bekollé-Bonami estimates on some pseudoconvex domains. (joint with B. D. Wick and N. A. Wagner), Bull. Sci. Math., 170: 102993, 2021.

• A Bekolle-Bonami Class of Weights for Certain Pseudoconvex Domains. (joint with B. D. Wick and N. A. Wagner), J. Geom. Anal., 31(6): 6042-6066, 2021.

• Weak-type estimates for the Bergman projection on the polydisc and the Hartogs triangle. (joint with B. D. Wick), Bull. London Math. Soc., 52(5): 891-906, 2020. 

• Weighted estimates for the Bergman projection on the Hartogs triangle. (joint with B. D. Wick),  J. Funct. Anal., 279(9):108727, 2020.

• Compactness of operators on the Bergman space of the Thullen domain. (joint with B. D. Wick), J. Operat. Theor., 83(2): 391-421, 2020. 

• L^p estimates for the Bergman projection on some Reinhardt domains. Proc. Amer. Math. Soc., (146): 2541-2553, 2018.

• Proper holomorphic maps from the unit disk to some unit balls. (joint with J. P. D'Angelo, M. Xiao), Proc. Amer. Math. Soc., (145): 2649-2660, 2017.

• The Bergman kernel on some Hartogs domains. J. Geom. Anal., 27(1): 271-299, 2017.

Invited talks:

• April 2023, DKU-SJTU Joint workshop, Duke Kunshan University, China.

• June 2022, 2022 Virtual Workshop in Analysis and Geometry, Jilin Normal University, China.

• January 2022, DKU-SJTU Joint workshop, Shanghai Jiao Tong University, China.

• June 2021, 2021 Indam workshop on Bergman projections and related topics.

• October 2020, Analysis Seminar, Syracuse University, Syracuse, NY. 

• March 2020, Operators in Complex Analysis Seminar, University of Michigan, Ann Arbor, MI. 

• April 2019, Analysis Day, University of Michigan at Dearborn, Dearborn, MI. 

• March 2019, Analysis and Geometry Seminar, Central Michigan University, Mt. Pleasant, MI.

• November 2018, AMS Sectional Meeting, Special Session on Partial Differential Equations in Several Complex Variables, University of Arkansas, Fayetteville, AR.

• March 2018, AMS Sectional Meeting, Special Session on Several Complex Variables, The Ohio State University, Columbus, OH.

• September 2017, AMS Sectional Meeting, Special Session on CR Geometry and Partial Differential Equations in Complex Analysis, University at Buffalo, State University of New York, Buffalo, NY.

• June 2017, Midwest Several Complex Variables Conference, Brown University, Providence, RI.

• January 2017, Analysis and Geometry in Several Complex Variables II, Texas A&M University at Qatar, Doha, Qatar.

• January 2016, Sanya Winter School in Complex Analysis and Geometry, Sanya, Hainan, China.

• January 2016, Joint Mathematics Meeting, AMS Special Session on Partial Differential Equations in Complex Analysis, Washington State Convention Center, Seattle, WA.

• October 2015, Complex Analysis Seminar, Ohio State University, Columbus, OH.

• March 2015, AMS Sectional Meeting, Special Session on Complex Analysis in Several Variables and its Applications, Michigan State University, East Lansing, MI.