Thomas Chaplin
MMath
Status
Postgraduate Student
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent publications
First Betti number of the path homology of random directed graphs
Chaplin, T Journal of Applied and Computational Topology (01 Jan 2022) 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
- Stochastic topology
Teaching
Teaching Assistant
2020 MT - Algebraic Geometry
2021 MT - Topology & Groups
College Tutor
2022 HT - Topology
2022 TT - Multidimensional Analysis and Geometry
2022 HT - Topology
Other
2022 MT - MATLAB Demonstrator
Major / recent publications
Publications
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
Chaplin, T., Harrington, H. A., & Tillmann, U. Grounded persistent path homology: a stable, topological descriptor for weighted digraphs. (2022). [arXiv:2210.11274]