Research

Journal Publications

A Faithful Discretization of Verbose Directional Transforms
Joint with Brittany Fasy, Samuel Micka, David Millman, and Lucia Williams.
Discrete and Computational Geometry, Pages 1–46. November 2025.

Outerplanar Graphs with Positive Lin-Lu-Yau Curvature
Joint with George Brooks, Fadekemi Osaye, Zhiyu Wang, and Jing Yu.
Journal of Combinatorics, Volume 16, Number 4. Pages 465–480. September 2025.

$K$-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.

Conference Publications

Computing Geomorphologically Salient Networks via Discrete Morse Theory
Joint with Tim Ophelders, Willem Sonke, and Bettina Speckmann.
Symposium on Computational Geometry, 2025.

How Small Can Faithful Sets Be? Ordering Topological Descriptors
Joint with Brittany Fasy and David Millman.
Canadian Conference on Computational Geometry, 2024.

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.

Preprints or Conference Contributions

Point Set Transformations using Given Groups
Joint with .Thomas C. van Dijk, Erwin Glazenburg, Wouter Meulemans, and Arjen Simons. European Conference on Computational Geometry, 2026.

Which Vertical Graphs are non-VPHT Reconstructible?
Joint with Jette Gutzeit, Kalani Kistler, and Tim Ophelders. European Conference on Computational Geometry, 2026.

Counting Triangulations of Fixed Cardinal Degrees
Joint with Erin Chambers, Tim Ophelders, and Julia Sollberger.

Sweeping Orders for Simplicial Complex Reconstruction
Joint with Tim Ophelders.

An Order for Higher-Dimensional Simplex Sweeps
Joint with Tim Ophelders. European Conference on Computational Geometry, 2025.

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

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

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.