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Profile picture of Thomas Chaplin in Perast, Montenegro

Thomas Chaplin

MMath
Status
Postgraduate Student
+44 1865 615116
Contact form
https://www.tomchaplin.xyz
ORCID iD
https://orcid.org/0000-0002-4395-5654
Research groups
  • Oxford Centre for Industrial and Applied Mathematics
  • Topological Data Analysis
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
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]
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
 

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
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