Research

Journal Publications

$K$-Theory of multiparameter persistence modules: Additivity
Joint with Ryan Grady.
Proceedings of the American Mathematical Society, Series B. Volume 11. Pages 63-74. March 2024.

Zig-Zag Modules: Cosheaves and $K$-Theory
Joint with Ryan Grady.
Homology, Homotopy and Applications. Volume 25, Number 2. Pages 243-274. November 2023.

Regularity via Links and Stein Factorizations
Joint with Ryan Grady.
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. August 2023.

Reconstructing Embedded Graphs from Persistence Diagrams
Joint with Robin Lynne Belton, Brittany Terese Fasy, Rostik Mertz, Samuel Micka, David L. Millman, Daniel Salinas, Jordan Schupbach, and Lucia Williams.
Computational Geometry, Theory and Applications. October 2020.

Statistical Analysis of Contingency Tables (book review)
Joint with Brittany Fasy.
The American Statistician, Volume 73, Issue 2. April 3, 2019. Page 634.

Turán Numbers of Vertex-Disjoint Cliques in r-Partite Graphs
Joint with Jessica De Silva, Kristin Heysse, Adam Kapilow, and Michael Young.
Journal of Discrete Mathematics, Volume 341, Issue 2. February 2018. Pages 492-496.

Conference Publications

Efficient Graph Reconstruction and Representation Using Augmented Persistence Diagrams
Joint with Brittany Fasy, Samuel Micka, David Millman, and Lucia Williams.
Canadian Conference on Computational Geometry, 2022.

Conference Contributions or Ongoing Work

Lower Bounding Minimal Faithful Sets of Verbose Persistence Diagrams
Joint with Brittany Fasy and David Millman.
European Conference on Computational Geometry, 2024.

Outerplanar Graphs with Positive Lin-Lu-Yau Curvature
Joint with George Brooks, Fadekemi Osaye, Zhiyu Wang, and Jing Yu.
To be submitted.

Catching Polygons
Joint with Bradley McCoy and Eli Quist.
Fall Workshop on Computational Geometry, 2021.

A Faithful Discretization of the Augmented Persistent Homology Transform
Joint with Brittany Fasy, Samuel Micka, David Millman, and Lucia Williams.
To be submitted.

Challenges in Reconstructing Shapes from Euler Characteristic Curves
Joint with Brittany Fasy, Samuel Micka, David Millman, and Lucia Williams.

Learning Simplicial Complexes from Persistence Diagrams
Joint with Robin Lynne Belton, Brittany Terese Fasy, Rostik Mertz, Samuel Micka, David L. Millman, Daniel Salinas, Jordan Schupbach, and Lucia Williams.