Thomas Chaplin
MMath
Status
Postgraduate Student
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
Publications
Chaplin, T., Harrington, H. A., & Tillmann, U. Grounded persistent path homology: a stable, topological descriptor for weighted digraphs. Foundations of Computational Mathematics. (2024). https://doi.org/10.1007/s10208-024-09679-2 [arXiv:2210.11274]
Chaplin, T. First Betti number of the path homology of random directed graphs. J Appl. and Comput. Topology. (2022). https://doi.org/10.1007/s41468-022-00108-3 [arXiv:2111.13493]
Pre-prints
Natarajan, A., Chaplin, T., Brown, A., & Jimenez, M-J. Morse Theory for Chromatic Delaunay Triangulations. (2024). [arXiv:2405.19303]
Research interests
- Topological data analysis
- Homology theories for digraphs, in particular path homology and directed flag complexes
- Applications to biological network, in particular vascular networks and brain connectomes
- Maps of persistence modules as topological statistics
- Stochastic topology
Teaching
Teaching Assistant
2020 MT - Algebraic Geometry
2021 MT - Topology & Groups
College Tutor
(2022-24) HT - Topology
(2022-24) TT - Multidimensional Analysis and Geometry
Other
2022 MT - MATLAB Demonstrator