My research is in the general area of harmonic analysis. In particular, I am interested in the interplay between harmonic analysis and related areas such as complex analysis, operator theory, and partial differential equations. 

Publication List

Preprints

1. [PDF] (with D. Spector and D. Stol​yarov) ​An atomic decomposition for functions of bounded variation​​. arXiv:2505.02053 (2025).​ [Submitted]
2. [PDF] (with C. Waters) Compact pseudodifferential and Fourier integral operators via localization. arXiv:2409.15096 (2024). [Submitted]
   
3. [PDF] (with Z. Nieraeth) Endpoint weak-type bounds beyond Calderón-Zygmund theory. arXiv:2409.08921 (2024). [Submitted]
4. [PDF]  (with Z. Nieraeth and B. Sweeting) Weighted weak-type bounds for multilinear singular integrals. arXiv:2401:15725 (2024). [Submitted]
5. [PDF]  (with M. Mitkovski) On the T1 theorem for compactness of Calderón-Zygmund operators. arXiv:2309:15819 (2023). [Submitted]
6. (with D. Cruz-Uribe) To A_{\infty} and beyond: operator dependent weighted theory. [In Preparation]
   
7. (with Z. Nieraeth and N. A. Wagner) Sharp weak-type bounds for the Bergman projection with Bekolle-Bonami weights. [In Preparation]
8. (with C. Waters) On the compactness of bi-parameter Calderón-Zygmund operators. [In Preparation]

Refereed Journal Articles

1. [PDF]  (with N. A. Wagner) Weighted theory of Toeplitz operators on the Bergman space, Math Z.  305 (2023) no. 1, Paper No. 10, 29 pp.
   
2. [PDF]  (with M. Mitkovski, N. A. Wagner, and B. D. Wick) Riesz-Kolmogorov type compactness criteria in function spaces with applications, Complex Anal. Oper. Theory 17(2023), no. 3, Paper No. 40, 31 pp. 
   
3. [PDF]  A weighted endpoint weak-type estimate for multilinear Calderón-Zygmund operators, J. Geom. Anal. 33 (2023), no. 2 Paper No. 68.
   
4. [PDF]  (with N. A. Wagner) Weighted endpoint bounds for the Bergman and Cauchy-Szegő projections on domains with near minimal smoothness, Indiana Univ. Math. J. 71 (2022), no. 5, 2099--2125. 
   
5. [PDF]  (with P. Villarroya and B. D. Wick) Sparse domination results for compactness on weighted spaces,  Collect. Math.  73 (2022), no. 3, 535-563. 
   
6. [PDF]  (with D. Spector) On the dimensional weak-type (1,1) bound for Riesz transforms, Commun. Contemp. Math. 23 (2021), no. 7, 2050072, 19 pp.
   
7. [PDF]  A different approach to endpoint weak-type estimates for Calderón-Zygmund operators, J. Math. Anal. Appl. 487 (2020), no. 2, 124016, 13 pp.
   
8. [PDF]  (with L. Grafakos) A limited-range Calderón-Zygmund theorem, Bull. Hellenic Math. Soc. 63 (2019), 54--63.
   
9. [PDF]  (with B. D. Wick) An endpoint weak-type estimate for multilinear Calderón-Zygmund operators, J. Fourier Anal. Appl. 25 (2019), no. 5, 2635--2652.
   
10. [PDF]  (with D. Condon, S. Coskey, and L. Serafin) On Generalizations of Separating and Splitting Families, Electron. J. Combin. 23 (2016), no. 3, #P3.36.