BIMSA > 马修·伯菲特
博士后 马修·伯菲特

团队: 代数拓扑及其应用

办公室: A3-4-209

邮箱: m.burfitt@bimsa.cn

研究方向: 代数拓扑及其应用

研究兴趣

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

教育经历

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

出版物

  • [1] Matthew Burfitt, Jie Wu, Stephen S.-T. Yau, and Shing-Tung Yau, Computing singular simplicial homologies of digraphs and quivers (2025)
  • [2] Matthew Burfitt and Tyrone Cutler, Inductive construction of path homology chains (2024)
  • [3] Matthew Burfitt and Jelena Grbić, The cohomology of free loop spaces of rank flag manifolds, Homology, Homotopy and Applications, 25(2), 343-371 (2023)
  • [4] J. Brodzki, M. Burfitt and P. Dlotko, Neural network decision boundary volume and its relationship to generalisation
  • [5] 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 (2022)
  • [6] M. Burfitt and J. Grbic, The cohomology of free loop spaces of SU (n + 1)/T n
  • [7] F. Belch ́ı, J. Brodzki, M. Burfitt, M. Niranjan, A numerical measure for the instability of Mapper-type algorithms, Journal of Machine Learning Research, 21, 1-45 (2020)
  • [8] J. Brodzki, M. Burfitt, M. Pirashvili, On the complexity of zero-dimensional multiparameter persistence (2020)

 

更新时间: 2025-10-26 17:00:10