Fan Ye 叶 帆 (Yè4 Fān1)
Assistant Professor
Peking University, School of Mathematical Sciences
Email: [email protected]
CV
About
I am an assistant professor at Peking University.
Previously, I was a Benjamin Peirce Fellow and a Simons Collaboration Postdoc at the Department of Mathematics at Harvard University, mentored by Peter Kronheimer.
I completed my Ph.D. in Maths at University of Cambridge under the supervision of Jacob Rasmussen.
Research Interests
I am interested in low-dimensional topology, especially knot theory, gauge theory, and Floer homology. Related topics include:
- Heegaard Floer, Seiberg-Witten Floer, instanton Floer, symplectic Floer homology
- Embedded contact homology, Khovanov homology, Khovanov–Rozansky homology
- Contact topology, quantum topology, geometric analysis, mathematical physics
Publications
[17] An infinity-categorical TQFT from instantons
Single author, with Appendix C by Longke Tang
Submitted | arXiv:2606.29902 | PDF
[16] Monopole triangle over integers
Joint with Haochen Qiu
Submitted | arXiv:2606.29882 | PDF | Slides
[15] Instanton 2-torsion and fibered knots
Joint with Deeparaj Bhat and Zhenkun Li
Submitted | arXiv:2512.24206 | PDF | Talk
[14] Singular instanton homology of dual knots
Single author
Submitted | arXiv:2511.19883 | PDF
[13] Instanton dimensions of knot surgeries over arbitrary fields
Joint with Zhenkun Li
Submitted | arXiv:2511.17877 | PDF
[12] Instanton 2-torsion and Dehn surgeries
Joint with Zhenkun Li
Submitted | arXiv:2508.03394 | PDF
[11] 2-torsion in instanton Floer homology
Joint with Zhenkun Li
Adv. Math. 472:Paper No. 110289, 55, 2025
arXiv:2405.16252 | PDF
[10] Knot surgery formulae for instanton Floer homology II: applications
Joint with Zhenkun Li
Math. Ann. 391:6291–6371, 2025
arXiv:2209.11018 | PDF
[9] The guts of nearly fibered knots
Joint with Zhenkun Li
Algebr. Geom. Topol. 26(4): 1385–1393, 2026
arXiv:2208.05382 | PDF
[8] Knot surgery formulae for instanton Floer homology I: the main theorem
Joint with Zhenkun Li
Geom. Topol. 29(5): 2269–2342, 2025
arXiv:2206.10077 | PDF
[7] Small Dehn surgery and SU(2)
Joint with John A. Baldwin, Zhenkun Li, and Steven Sivek
Geom. Topol. 28(4): 1891–1922, 2024
arXiv:2110.02874 | PDF
[6] SU(2) representations and a large surgery formula
Joint with Zhenkun Li
Submitted | arXiv:2107.11005 | PDF | Talk | Slides
[5] An enhanced Euler characteristic of sutured instanton homology
Joint with Zhenkun Li
Int. Math. Res. Not. 2024(4): 2873–2936, 2024
arXiv:2107.10490 | PDF
[4] Instanton Floer homology, sutures, and Euler characteristics
Joint with Zhenkun Li
Quantum Topol. 14(2): 201–284, 2023
arXiv:2101.05169 | PDF | Talk: Part I, Part II | Slides
[3] Sutured instanton homology and Heegaard diagrams
Joint with John A. Baldwin and Zhenkun Li
Compos. Math. 159(9): 1898–1915, 2023
arXiv:2011.09424 | PDF | Talk by Zhenkun Li
[2] Instanton Floer homology, sutures, and Heegaard diagrams
Joint with Zhenkun Li
J. Topol. 15(1): 39–107, 2022
arXiv:2010.07836 | PDF | Talk by Zhenkun Li
[1] Constrained knots in lens spaces
Single author
Algebr. Geom. Topol. 23(3): 1097–1166, 2023
arXiv:2007.04237 | PDF | List of constrained knots | Data | Talk | Slides | Poster
[0] Ph.D. Thesis: New techniques in calculation of sutured instanton Floer homology
by Heegaard diagrams, Euler characteristics, and Dehn surgery formulae
DOI: 10.17863/CAM.85094 | PDF