Publications
Publications
Published:
Combinatorial Regularity for Relatively Perfect Discrete Morse Gradient Vector Fields of ReLU Neural Networks, with Marissa Masden
Published in The Journal of Applied and Computational Topology, vol. 10, no. 3, 2026. arxiv version
Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values, with Asilata Bapat, Celia Hacker, Claudia Landi, and Barbara Mahler, and Elizabeth Stephenson .
To appear in Research in Computational Topology 3, Association for Women in Mathematics Series, Springer, 2026 arxiv version
From integrals to combinatorial formulas of finite type invariants -- a case study, with Rafal Komendarczyk
Published in the Journal of Knot Theory and Its Ramifications, vol. 33, no. 8, 2024 arxiv version
Redefining Math Conferences: A Panel, with Padi Fuster Aguilera
Published in AMS Notices, Mach 2024 (pdf link)
Morse-Based Fibering of the Rank Invariant, with Asilata Bapat, Celia Hacker, Claudia Landi, and Barbara Mahler.
Published in Research in Computational Topology 2, the Women in Computational Topology (WinCompTop) Second Workshop Proceedings, 2022 arxiv version
Combinatorial Conditions for Directed Collapsing, with Robin Belton, Stefania Ebli, Lisbeth Fajstrup, Brittany Terese Fasy, Nicole Sanderson, and Elizabeth Vidaurre.
Published in Research in Computational Topology 2, the Women in Computational Topology (WinCompTop) Second Workshop Proceedings, 2022 arxiv version
Towards Directed Collapibility, with Robin Belton, Stefania Ebli, Lisbeth Fajstrup, Brittany Terese Fasy, Catherine Ray, Nicole Sanderson, and Elizabeth Vidaurre.
Published in Advances in Mathematical Sciences, volume 21 of Association for Women in Mathematics Series, page 308, 2020. arxiv version
Under review:
Switch points of Bi-persistence Matching Distance, with Celia Hacker, Claudia Landi, and Barbara Mahler, and Elizabeth Stephenson .
(under review) arxiv version
In Progress:
Directed Topology and Multiparameter Persistence, with Robin Belton, Lisbeth Fajstrup, Brittany Terese Fasy, and Elizabeth Vidaurre
Discrete Morse Gradient Vector Fields for PL-Morse Functions with Flat Cells, with Marissa Masden
Using Morse Theory to Identify Gradient Flow in ReLU Neural Networks, with Claudia Landi, Barbara Mahler, Marissa Masden
Counting Equivalent 1-D Barcodes of a Tame Bi-Persistence Modules, with Eve Bradley*, Josie Marshall*, and Debbie Wooten*
Barcodes Arising from Filtrations on up to 6 vertices, with Oliver Duncan*, Matthew Johnson* and Nicole Sanderson
Discrete Morse Theory for Directed Spaces, with Wenwen Li and Bei Wang-Phillips
(* indicates undergraduate research student)