Publications and Preprints

For the most up-to-date list of my publications see my google scholar.

Due to working in an interdisciplinary setting, my work follows different conventions for authorship. Theoretical mathematics tends to be published alphabetically. Applied mathematics and other domain settings tend to be published in descending order of contribution with the PI listed last.

* denotes authors contributed equally

underline denotes undergraduate students mentored

All papers are either open access or a PDF can be accessed using the specified button.

Using Persistent Homology to Analyze Access to Resources with Heterogeneous Quality

Gillian Grindstaff, Abigail Hickok, Sarah Tymochko, Jiajie Luo, and Mason A. Porter

In Preparation, 2025.

A Deffuant–Weisbuch Model of Opinion Dynamics with Adaptive Confidence Bounds

Max Collins*, Zhuying Gong*, Arie Ogranovich*, Nicholas White*, Mason A. Porter, and Sarah Tymochko

In Preparation, 2025.

REU Report

Evaluating Cooling Center Coverage Using Persistent Homology of a Filtered Witness Complex

Erin O'Neil and Sarah Tymochko

In Submission, 2025.

arXiv

Any Graph is a Mapper Graph

Enrique G. Alvarado, Robin Belton, Kang-Ju Lee, Sourabh Palande, Sarah Percival, Emilie Purvine, and Sarah Tymochko.

In Submission, 2025.

arXiv

Teaspoon: A Python Package for Topological Signal Processing

Firas A. Khasawneh*, Elizabeth Munch*, Danielle Barnes, Max Chumley, Ismail Guzel, Audun Myers, Sunia Tanweer, Sarah Tymochko, and Melih Yesilli.

Journal of Open Source Software, 2025.

Published

Code

A Topological Approach for Motion Track Discrimination

Tegan H. Emerson, Sarah Tymochko, George Stantchev, Jason A. Edelberg, Michael Wilson, and Colin C. Olson

Research in Computational Topology 2, 2022.

Published

arXiv

PDF

The Impact of Changes in Resolution on the Persistent Homology of Images

Teresa Heiss, Sarah Tymochko, Brittany Story, Adélie Garin, Hoa Bui, Bea Bleile, and Vanessa Robins

Proceedings of 2021 IEEE International Conference on Big Data, 2021.

Published

arXiv

PDF

Con Connections: Detecting Fraud from Abstracts using Topological Data Analysis

Sarah Tymochko, Julien Chaput, Timothy Doster, Emilie Purvine, Jackson Warley, and Tegan Emerson

Proceedings of 20th IEEE International Conference On Machine Learning And Applications (ICMLA), 2021.

Published

PDF

Classifying Sleep States Using Persistent Homology and Markov Chain: a Pilot Study

Sarah Tymochko, Kritika Singhal, and Giseon Heo

Advances in Data Science, 2021.

Published

arXiv

Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems

Sarah Tymochko, Elizabeth Munch, and Firas A. Khasawneh

Algorithms, 2020.

Published

arXiv

Using Persistent Homology to Quantify a Diurnal Cycle in Hurricane Felix

Sarah Tymochko, Elizabeth Munch, Jason Dunion, Kristen Corbosiero, and Ryan Torn

Pattern Recognition Letters, 2020.

Published

arXiv

Adaptive Partitioning for Template Functions on Persistence Diagrams

Sarah Tymochko, Elizabeth Munch, and Firas A. Khasawneh

Proceedings of 18th IEEE International Conference On Machine Learning And Applications (ICMLA), 2019.

Published

arXiv

PDF

Chatter Diagnosis in Milling using Supervised Learning and Topological Feature Vectors

Melih Yesilli, Sarah Tymochko, Elizabeth Munch, and Firas Khasawneh

Proceedings of 18th IEEE International Conference On Machine Learning And Applications (ICMLA), 2019.

Published

arXiv

PDF

Fairest Edge Usage and Minimum Expected Overlap for Random Spanning Trees

Nathan Albin, Jason Clemens, Derek Hoare, Pietro Poggi-Corradini, Brandon Sit, and Sarah Tymochko

Discrete Mathematics, 2021.

Published

arXiv

PDF

Other Written Work

Topological Approaches for Quantifying the Shape of Time Series Data

Sarah Tymochko

PhD Dissertation, 2022.

Link

PDF

Topological Analysis of Complex Networks

Sarah Tymochko and Audun Myers

SIAM DSWeb Media Gallery, 2022.

Link

Media

In grad school I was interviewed on the "Journeys of Scientists" podcasts hosted by Michigan State University WaMPS (Women and Minorities in the Physical Sciences) graduate student organization. You can find my episode here:

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