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] J. Brodzki, M. Burfitt and P. Dlotko, Understanding the geometry of deep learning with decision boundary volume, arXiv:2603.14768 (2026)
  • [2] Matthew Burfitt, Jie Wu, Stephen S.-T. Yau, and Shing-Tung Yau, Computing singular simplicial homologies of digraphs and quivers (2025)
  • [3] Matthew Burfitt and Tyrone Cutler, Inductive construction of path homology chains (2024)
  • [4] Matthew Burfitt and Jelena Grbić, The cohomology of free loop spaces of rank flag manifolds, Homology, Homotopy and Applications, 25(2), 343-371 (2023)
  • [5] J. Brodzki, M. Burfitt, M. Pirashvili, On the complexity of zero-dimensional multiparameter persistence (2020)
  • [6] WA Bosbach, JF Senge, P Dlotko, JS Senge, D Gurnari, LM Vergani, ..., Mathematics in Medical Diagnostics-2022 Proceedings of the 4th International Conference on Trauma Surgery Technology, 4th Giessen International Conference on Trauma Surgery Technology (2022)
  • [7] MI Burfitt, J Grbić, The cohomology of the free loop spaces of $SU(n+1)/T^n$, arXiv, 2106.03440 (2021)
  • [8] F Belchí, J Brodzki, M Burfitt, M Niranjan, A numerical measure of the instability of mapper-type algorithms, Journal of Machine Learning Research, 21(202), 1-45 (2020)
  • [9] M Burfitt, The cohomology of free loop spaces of homogeneous spaces, arXiv, 1706.10258 (2017)

 

更新时间: 2026-03-31 11:00:06