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, partial differential equations, and operator theory. My Ph.D. thesis is concerned with weak-type estimates for singular integral operators in Euclidean, weighted, and multilinear settings.

Publication List

Preprints

1. [PDF] (with M. Mitkovski, N. A. Wagner, and B. D. Wick) Riesz-Kolmogorov type compactness criteria in function spaces with applications, Arxiv e-prints: 2204.14237 (2022). [Submitted]
2. [PDF]  (with N. A. Wagner) Weighted theory of Toeplitz operators on the Bergman space, Arxiv e-prints: 2107.03457 (2021). [Submitted]
3. (with M. Mitkovski) On the T(1) theorem for compactness of Calderón-Zygmund operators. [In Preparation]
   
4. (with D. Cruz-Uribe) To A_{\infty} and beyond.  [In Preparation]

Refereed Journal Articles

1. [PDF]  A weighted endpoint weak-type estimate for multilinear Calderón-Zygmund operators, Arxiv e-prints: 1902.08330 (2019). [To appear in J. Geom. Anal.]
   
2. [PDF]  (with N. A. Wagner) Weighted endpoint bounds for the Bergman and Cauchy-Szegő projections on domains with near minimal smoothness , Arxiv e-prints: 2005.12261 (2020). [To appear in Indiana Univ. Math. J.]
   
3. [PDF]   (with P. Villarroya and B. D. Wick)  Sparse domination results for compactness on weighted spaces,   Collect. Math  73 (2022), no. 3, 535-563.  
   
4. [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.
   
5. [PDF]  A different approach to endpoint weak-type estimates for Calderón-Zygmund operators, J. Math. Anal. Appl. 487 (2020), no. 2, 124016, 13 pp.
   
6. [PDF]  (with L. Grafakos) A limited-range Calderón-Zygmund theorem, Bull. Hellenic Math. Soc. 63 (2019), 54--63.
   
7. [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.
   
8. [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.