Publications

Preprints

Applied Topology
Computational Topology
Lower Bounding the Gromov–Hausdorff distance in Metric Graphs

With: Henry Adams, Fedor Manin, Žiga Viga, and Nicolò Zava
Links: [arxiv] 
Applied Topology
Computational Topology
TDA
Manifold Learning
Topological Stability and Latschev-type Reconstruction Theorems for \pmb{\mathrm{CAT}(\kappa)} Spaces
Submitted to: Advances in Mathematics, 2024
With: Rafal Komendarczyk
Links: [arxiv] 
Applied Topology
Computational Topology
Hausdorff vs Gromov–Hausdorff Distances
Submitted to: Discrete & Computational Geometry, 2023
With: Henry Adams, Florian Frick, and Nicholas McBride
Links: [arxiv] 
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Journals

TDA
Identifying Extreme Events in the Stock Market: A Topological Data Analysis
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2024
With: Anish Rai, Buddha Nath Sharma, Salam Rabindrajit Luwang, and Md.Nurujjaman
Links: [arxiv] [DOI] 
Statistical Finance
Complex Network Analysis of Cryptocurrency Market During Crashes
Physica A, 2024
With: Kundan Mukhia, Anish Rai, SR Luwang, Md Nurujjaman, and Chittaranjan Hens
Links: [arxiv] [DOI] 
Applied Topology
Manifold Learning
Demystifying Latschev's Theorem: Manifold Reconstruction from Noisy Data
Discrete & Computational Geometry, 2024
Links: [arvix] [publisher] 
Computational Geometry
Pattern Matching
Distance Measures for Geometric Graphs
Computational Geometry: Theory and Applications, 2023
With: Carola Wenk
Links: [arxiv] [publisher] 
Applied Topology
Computational Topology
TDA
Vietoris–Rips Complexes of Metric Spaces Near a Metric Graph
Journal of Applied and Computational Topology, 2023
Links: [arxiv] [publisher] 
Computational Geometry
Pattern Recognition
Approximating Gromov-Hausdorff Distance in Euclidean Space
Computational Geometry: Theory and Applications, 2022
With: Jeffrey Vitter and Carola Wenk
Links: [publisher] [arxiv] 
Computational Geometry
Applied Topology
TDA
On the Reconstruction of Geodesic Subspaces of \pmb{\mathbb R^n}
International Journal of Computational Geometry and Applications, 2022
With: Brittany Fasy, Rafal Komendaczyk, 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, 2021
With: Anish Rai, AjitMahata, Md Nurujjaman, and Kanish Debnath
Links: [publisher] [arxiv] 
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Proceedings of Conferences and Workshops

Graph Reconstruction
TDA
Embedded Graph Reconstruction under Hausdorff Noise
Fall Workshop on Computational Geometry, Tufts University, 2024
With: Halley Fritze, Marissa Masden, Atish Mitra, and Michael Stickney
Links: [arxiv] 
Applied Topology
Manifold Learning
Demystifying Latschev's Theorem: Manifold Reconstruction from Noisy Data
Symposium on Computational Geometry (SoCG), 2024
Links: [publisher] 
Computational Geometry
Metric and Path-Connectedness Properties of the Fréchet Distance for Paths and Graphs
Canadian Conference on Computational Geometry (CCCG), 2023
With: 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), 2023
Links: [ResearchGate] [arxiv] 
TDA
Threshold-based graph reconstruction using discrete Morse theory
Fall Workshop on Computational Geometry, New York, NY, November 2018, 2018
With: 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, 2017
With: 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 2020
Link: Thesis
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