BIMSA > Matthew Burfitt
Postdoc Matthew Burfitt

Group: Algebraic Topology and its Applications

Office: A3-4-209

Email: m.burfitt@bimsa.cn

Research Field: Algebraic Topology and its Applications

Research Interest

  • Algebraic topology
  • Topological data analysis
  • Topology of digraphs and quivers

Education Experience

  • -      University of Warwick      Mathematics      Master
  • -      University of Southampton      Mathematics      Ph.D      (Supervisor: Jelena Grbic)

Publication

  • [1] Matthew Burfitt and Tyrone Cutler, Inductive construction of path homology chains (2024)
  • [2] Matthew Burfitt and Jelena Grbić, The cohomology of free loop spaces of rank flag manifolds, Homology, Homotopy and Applications, 25(2), 343-371 (2023)
  • [3] J. Brodzki, M. Burfitt and P. Dlotko, Neural network decision boundary volume and its relationship to generalisation
  • [4] M. Burfitt, A projective model for fast field cycling MRI images, Mathematics in Medical Diagnostics - 2022 Proceedings of the 4th International Conference on Trauma Surgery Technology
  • [5] M. Burfitt and J. Grbic, The cohomology of free loop spaces of SU (n + 1)/T n
  • [6] F. Belch ́ı, J. Brodzki, M. Burfitt and M. Niranjan, A numerical measure for the instability of Mapper-type algorithms, Journal of Machine Learning Research 21 (2020) 1-45
  • [7] J. Brodzki, M. Burfitt and M. Pirashvili, On the complexity of zero-dimensional multiparameter persistence
  • [8] M. Burfitt and J. Grbic, The cohomology of free loop spaces of rank 2 flag manifolds

 

Update Time: 2025-05-20 15:34:26