Publications
Preprints
Applied Topology
Computational Topology
Hausdorff vs Gromov–Hausdorff Distances
Submitted to: ArXiv, 2023With: Henry Adams, Florian Frick, and Nicholas McBride
Links: [arxiv]
Applied Topology
Manifold Learning
Demystifying Latschev's Theorem: Manifold Reconstruction from Noisy Data
Submitted to: Discrete and Computational Geometry, 2023Links: [arvix]
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Journals
Computational Geometry
Pattern Recognition
Approximating Gromov-Hausdorff Distance in Euclidean Space
Computational Geometry: Theory and Applications, 2022With: Jeffrey Vitter and Carola Wenk
Links: [publisher] [arxiv]
Statistical Finance
A Sentiment-Based Modeling and Analysis of Stock Price During the COVID-19: U- and Swoosh-Shaped Recovery
Physica A: Statistical Mechanics and Its Applications, 2021With: Anish Rai, AjitMahata, Md Nurujjaman, and Kanish Debnath
Links: [publisher] [arxiv]
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Proceedings of Conferences and Workshops
Computational Geometry
Metric and Path-Connectedness Properties of the Fréchet Distance for Paths and Graphs
Canadian Conference on Computational Geometry (CCCG), 2023With: Erin Chambers, Brittany Fasy, Benjamin Holmgren, and Carola Wenk
Links: [FILE]
Computational Geometry
Pattern Recognition
Graph Mover's Distance: An Efficiently Computable Distance Measure for Geometric Graphs
Canadian Conference on Computational Geometry (CCCG), 2023Links: [ResearchGate] [arxiv]
TDA
Threshold-based graph reconstruction using discrete Morse theory
Fall Workshop on Computational Geometry, New York, NY, November 2018, 2018With: Brittany Terese Fasy and Carola Wenk
Links: [arxiv]
TDA
Topological and Geometric Reconstruction of Metric Graphs in \mathbb{R}^n
Fall Workshop on Computational Geometry*, New York, NY, October 2017, 2017With: Brittany Terese Fasy, Rafal Komendaczyk, and Carola Wenk
Links: [proceedings] [arxiv]
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PhD Thesis
TDA
Applied Topology
Pattern Matching
Computational Geometry
Topological Methods in Shape Reconstruction and Comparison
Mathematics Department, Tulane University, December 2020Link: Thesis
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