A Lattice-Theoretic Perspective on the Persistence Map. - Brendan Mallery; Adélie Garin; Justin Curry (CoRR, 2022)

From trees to barcodes and back again II: Combinatorial and probabilistic aspects of a topological inverse problem. - Justin Curry; Jordan DeSha; Adélie Garin; Kathryn Hess; Lida Kanari; Brendan Mallery (Comput. Geom., 2024)

Synthesis and Analysis of Data as Probability Measures With Entropy-Regularized Optimal Transport. - Brendan Mallery; James M. Murphy; Shuchin Aeron (AISTATS, 2025)

Linearized Wasserstein Barycenters: Synthesis, Analysis, Representational Capacity, and Applications. - Matthew Werenski; Brendan Mallery; Shuchin Aeron; James M. Murphy (AISTATS, 2025)