publications

Mathematics of Data Science

  1. Synthesis and Analysis of Data as Probability Measures With Entropy-Regularized Optimal Transport, with James Murphy and Shuchin Aeron. Published in the Proceedings of the 28th International Conference on Artificial Intelligence and Statistics (AISTATS 2025), PMLR, 2025.

  2. Linearized Wasserstein Barycenters: Synthesis, Analysis, Representational Capacity, and Applications, with Matthew Werenski, James Murphy, and Shuchin Aeron. Published in the Proceedings of the 28th International Conference on Artificial Intelligence and Statistics (AISTATS 2025), PMLR, 2025.

  3. From Trees to Barcodes and Back Again II: Combinatorial and Probabilistic Aspects of a Topological Inverse Problem, with Jordan DeSha, Adélie Garin, Kathryn Hess, and Lida Kanari. Published in Computational Geometry: Theory and Applications, Special Issue on Computational and Applied Topology, 2021.

Geometry and Topology for Delay Tolerant Networking

  1. Multi-domain Routing in Delay Tolerant Networks, with Alan Hylton, Jihun Hwang, Mark Ronnenberg, Miguel Opez, Oliver Chiriac, Sriram Gopalakrishnan, and Tatum Rask. Published in the Proceedings of the IEEE Aerospace Conference, 2023.

  2. Towards Time Synchronization in Delay Tolerant Network-based Solar System Internetworking, with Alan Hylton, Natalie Tsuei, Mark Ronnenberg, Jihun Hwang, Jonathan Quartin, Colin Levaunt, and Jeremy Quail. Published in the Proceedings of the IEEE Aerospace Conference, 2023.

  3. Sheaf Theoretic Models for Routing in Delay Tolerant Networks, with Robert Short, Alan Hylton, Jacob Cleveland, Michael Moy, Robert Cardona, Robert Green, Justin Curry, Gabriel Bainbridge, and Zara Memon. Published in the Proceedings of the IEEE Aerospace Conference, 2022.

  4. Introducing Tropical Geometric Approaches to Delay Tolerant Networking Optimization, with Jacob Cleveland, Alan Hylton, Robert Short, Robert Green, Justin Curry, Devavrat Vivek Dabke, and Olivia Freides. Published in the Proceedings of the IEEE Aerospace Conference, 2022.

  5. A Survey of Mathematical Structures for Lunar Networks, with Alan Hylton, Robert Short, Jacob Cleveland, Olivia Freides, Zara Memon, Robert Cardona, Robert Green, Justin Curry, Sriram Gopalakrishnan, Devavrat Vivek Dabke, Brittany Story, and Michael Moy. Published in the Proceedings of the IEEE Aerospace Conference, 2022.

Other

  1. Houghton-like Groups From “Shift-Similar” Groups, with Matthew Zaremsky. Published in the Journal of Combinatorial Algebra, Vol. 9, Nos. 3–4, 2025.

  2. A Lattice-Theoretic Perspective on the Persistence Map, with Adélie Garin and Justin Curry. Published in the Proceedings of the 38th International Symposium on Computational Geometry (SoCG) Young Researchers Forum, 2022.

  3. Medium-scale Curvature at Larger Radii in Finitely Generated Groups, with Robert Kropholler, 2020.