Research

My research focuses on mathematical foundations, algorithms, and applications which quantify shape in high-dimensional data sets. These combine approaches from topological data analysis, applied algebraic geometry, and machine learning.

Background

I completed an MSc in Mathematics & Foundations of Computer Science at the University of Oxford in 2016 and my PhD at the University of Florida in 2020. From 2020 to 2023, I was a Robert and Sara Lumpkins Postdoctoral Research Associate in the Applied and Computational Mathematics and Statistics Department at the University of Notre Dame. I’ve been at Florida Atlantic since August 2023.

Publications

1. 2023 Computing geometric feature sizes for algebraic manifolds. SIAM J. Appl. Algebra Geom. 7 (2023), no. 4, 716‑741. https://doi.org/10.1137/22M1522656. With Sandra Di Rocco, David Eklund, Oliver Gäfvert,
and Jonathan Hauenstein

2. 2023 Output Mode Switching for Parallel Five‑bar Manipulators Using a Graph‑based Path Planner. 2023 IEEE International Conference on Robotics and Automation (ICRA), London, United Kingdom, 2023, pp.
9735‑9741. https://doi.org/10.1109/ICRA48891.2023.10160891. Parker B. Edwards, Aravind Baskar, Caroline Hills, Mark Plecnik, and Jonathan D. Hauenstein.

3. 2022 Aggregating Community Maps. In Proceedings of the 30th International Conference on Advances in Geographic Information Systems (SIGSPATIAL ’22). Association for Computing Machinery.
https://doi.org/10.1145/3557915.3560961 With Erin Chambers, Moon Duchin, Ranthony A.C. Edmonds, JN Matthews, Anthony E. Pizzimenti, Chanel Richardson, Parker Rule, and Ari Stern.

4. 2022 Graded Persistence Diagrams and Persistence Landscapes. Discrete Comput Geom 67, 203‑230 (2022).  https://doi.org/10.1007/s00454-021-00316-1. With Leo Betthauser and Peter Bubenik.

5. 2021 TDAExplore: quantitative image analysis of fluorescence microscopy images through topology‑based machine learning. Patterns (2021). https://doi.org/10.1016/j.patter.2021.100367. Parker B.
Edwards, Kristen Skruber, Nikola Milićević, James B Heidings, Tracy‑Anne Read, Peter Bubenik, and Eric Vitriol.

For a full lising of all publications, please visit: Website: https://parkeredw.com