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Profile picture of Thomas Chaplin in Perast, Montenegro

Thomas Chaplin

MMath
Status
Postgraduate Student
Contact form
https://www.tomchaplin.xyz
+44 1865 615116
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

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]
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