Research - Publications

The Bellman Function for Level Sets of Sparse Operators - with John Freeland Small, Zachary H. Pence, and Xiaokun Zhou - Submitted (2025).

Sharp restricted weak-type estimates for sparse operators - with Guillermo Rey and Kristina Ana Skreb. Journal of Functional Analysis, 288, issue 11, 2025.

Paraproducts, Bloom BMO and Sparse BMO Functions - joint with  Valentia Fragkiadaki. Revista Matematica Iberoamericana, 39 (2023), no. 6.

Borderline estimates for weighted singular operators and concavity - joint with Alexander Volberg. Harmonic Analysis and Convexity, Berlin, Boston: De Gruyter, 2023.

Bi-parameter embedding and measures with restriction energy condition - joint with Nicola Arcozzi, Pavel Mozolyako, and Alexander Volberg. Mathematische Annalen, 377, 2020.

The Sharp Constant in the Weak (1,1) Inequality for the Square Function: A New Proof - joint with Paata Ivanisvili and Alexander Volberg. Revista Matematica Iberoamericana, Vol 36, Issue 3, 2020.

Bellman function sitting on a tree - joint with Nicola Arcozzi, Pavel Mozolyako, and Alexander Volberg. International Mathematics Research Notices, rnz224, 2019.

Two weight Commutators in the Dirichlet and Neumann Laplacian settings - joint with Xuan Thinh Duong, Ji Li, Brett D. Wick, and Dongyong Yang. Journal of Functional Analysis, Vol 276, Issue 4, 2019.

Weighted little bmo and two-weight inequalities for Journé commutators - joint with Stefanie Petermichl and Brett D. Wick. Analysis & PDE, 11, No. 7, 2018.

Commutators with Fractional Integral Operators - joint with Robert Rahm and Scott Spencer. Studia Mathematica, 233, no. 3, 2016.

Two Weight Inequalities for Iterated Commutators with Calderón-Zygmund Operators - joint with Brett D. Wick. Journal of Operator Theory, 79, No. 1, 2018.

Commutators in the Two-Weight Setting - joint with Michael T. Lacey and Brett D. Wick. Mathematische Annalen, 376, Issue 1-2, 2017.

Bloom's Inequality: Commutators in a Two-Weight Setting - joint with Michael T. Lacey and Brett D. Wick. Archiv der Mathematik, 106, no. 1, 2016.

The Gaussian Radon Transform in Classical Wiener Space - joint with Ambar Sengupta. Communications on Stochastic Analysis, 8, no. 2, 2014.

The Gaussian Radon Transform and Machine Learning - joint with Ambar Sengupta. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 18, no. 3, 2015.

An Inversion Formula for the Gaussian Radon Transform for Banach Spaces Infinite Dimensional Analysis, Quantum Probability and Related Topics, 16, no. 4, 2013.

A Gaussian Radon Transform for Banach Spaces - joint with Ambar Sengupta. Journal of Functional Analysis, 263, no. 11, 2012.

On a new symmetry of the solutions of the wave equation in the background of a Kerr black hole - joint with Horst R. Beyer. Classical and Quantum Gravity, 25, no. 13, 2008.

On a Problem in the Stability Discussion of Rotating Black Holes Proceedings of The National Conference On Undergraduate Research (NCUR), 2006.

A comparison of box and Carleson conditions on bi-trees - joint with  Georgios Psaromiligkos and Alexander Volberg. (Preprint)

Dyadic bi-parameter repeated commutator and dyadic product BMO - joint with  Sergei Treil and Alexander Volberg. (Preprint)

Dyadic bi-parameter simple commutator and dyadic little BMO - joint with  Sergei Treil and Alexander Volberg. (Preprint).