Publications

Covering lemmas associated to maximal operators of weak type, with Paul Hagelstein and Fedor Nazarov (in preparation)

Local covering lemmas associated to maximal operators of weak type, with Paul Hagelstein (submitted)

Remarks on the construction of $K_\sigma$ sets associated to trees not satisfying a separation condition, with Paul Hagelstein and Alexander Stokolos. Revista Matemática Iberoamericana 42 no. 2 (2026), pp. 545–550 DOI 10.4171/RMI/1581 arXiv pdf 

Probabilistic construction of Kakeya-type sets in $\mathbb{R}^2$ associated to separated sets of directions, with Paul Hagelstein and Alexander Stokolos. Duke Mathematical Journal 175 no.2 (2026), pp. 185 - 198 DOI 10.1215/00127094-2025-0025  arXiv pdf 

Klein cordial trees and odd cyclic cordial friendship graphs, with William Q. Erickson, Daniel Herden, Jonathan Meddaugh, Mark R. Sepanski, Isaac Echols, Cordell Hammon, Jorge Marchena-Menendez, Jasmin Mohn, and Indalecio Ruiz-Bolanos. Discrete Mathematics 346, no. 9 (2023): 113488. DOI 10.1016/j.disc.2023.113488 arXiv pdf