Thomas Chaplin
MMath
Status
Postgraduate Student
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Teaching
2020 MT - TA Algebraic Geometry
2021 MT - TA Topology & Groups
2022 HT - Topology
2022 TT - Multidimensional Analysis and Geometry
2022 MT - MATLAB Demonstrator
Major / recent publications
Pre-prints
[arXiv:2111.13493] Thomas Chaplin. "First Betti number of the path homology of random directed graphs". (2021)
[arXiv:2210.11274] Thomas Chaplin, Heather A. Harrington and Ulrike Tillmann. "Grounded persistent path homology: a stable, topological descriptor for weighted digraphs". (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