Fan Ye 叶 帆

Email: fy260 at cam.ac.uk

I am a PhD candidate in Maths at University of Cambridge. My supervisor is Jacob Rasmussen. I will be on the job market this fall. You can see my complete CV here.

I am interested in low-dimensional topology, especially about gauge theory (instanton, monopole, Heegaard Floer homology) and knot polynomials (Khovanov homology, $\mathfrak{sl}_n$ homology, HOMFLY-PT polynomial). I also have interests in symplectic geometry and mathematical physics.

Research

[7] Small Dehn surgery and SU(2)
Joint With John A. Baldwin, Zhenkun Li, and Steven Sivek, submitted, arXiv:2110.02874 || PDF

[6] SU(2) representations and a large surgery formula
Joint with Zhenkun Li, submitted, arXiv:2107.11005 || PDF

[5] An enhanced Euler characteristic of sutured instanton homology
Joint with Zhenkun Li, submitted, arXiv:2107.10490 || PDF

[4] Instanton Floer homology, sutures, and Euler characteristics
Joint with Zhenkun Li, submitted, arXiv:2101.05169 || PDF

[3] Sutured instanton homology and Heegaard diagrams
Joint with John A. Baldwin and Zhenkun Li, submitted, arXiv:2011.09424 || PDF

[2] Instanton Floer homology, sutures, and Heegaard diagrams
Joint with Zhenkun Li, submitted, arXiv:2010.07836 || PDF

[1] Constrained knots in lens spaces
Accepted by Algebraic & Geometric Topology, ArXiv:2007.04237 || PDF || List of constrained knots || Data || Talk || Slides || Poster

Conferences and Talks

Teaching and Service

  • Minicourses, BICMR, 10/2021.
  • Drop-in sessions (office hours) for differential geometry, Cambridge, 10/2019-12/2019.
  • Referee for Quantum Topology.

Awards and Honors

  • Smith-Rayleigh and Knight-Rayleigh Prize, Group 2, 2021.
  • Outstanding Graduates in Peking University, 2019.
  • Bronze Medel in Alibaba Global Mathematics Competition, 2018.
  • May Fourth Scholarship, 2017.
  • Winning Prize in S.T. Yau College Student Mathematics Contests, 2017.
  • Honorable Mention in Mathematical Contest In Modeling (MCM), 2017.
  • Accessit in China Undergraduate Mathematical Contest in Modeling, 2016.
  • Merit Student in Peking University, 2016.

Updated in 10/2021