Publications
- With Yi Xie and Boyu Zhang, A deformation of Asaeda-Przytycki-Sikora homology, to appear: Algebr. Geom. Topol. (arXiv version)
- With Yi Xie and Boyu Zhang, Instanton homology and knot detection on thickened surfaces, to appear: Selecta Math. (N.S.) 29 (2023), no. 5, Paper No. 84, 47 pp. (arXiv version).
- With Fan Ye, Instanton Floer homology, sutures, and Euler characteristics, Quantum Topol. 14 (2023), no. 2, 201–284. (arXiv version).
- With John A. Baldwin and Fan Ye, Sutured instanton Floer homology and Heegaard diagrams, Compos. Math. 159 (2023), no. 9, 1898–1915. (arXiv version).
- With Sudipta Ghosh, Decomposing sutured monopole and instanton Floer homologies, Selecta Math. (N.S.) 29 (2023), no. 3, Paper No. 40, 60 pp. (arXiv version).
- With John Baldwin, Steven Sivek, and Fan Ye, Small Dehn surgeries and SU(2), to appear: Geom. Topol., 2023. (arXiv version).
- With Boyu Zhang and Yi Xie, On Floer minimal knots in sutured manifolds, Trans. Amer. Math. Soc. Ser. B 9 (2022), 499-516 (arXiv version).
- With Fan Ye, Instanton Floer homology, sutures, and Heegaard diagrams, J. Topol. 15 (2022) 39-107. (arXiv version).
- With Boyu Zhang and Yi Xie, Two detection results of Khovanov homology on links, Trans. Amer. Math. Soc. 374 (2021), 6649-6664 (arXiv version).
- Instanton and the depth of taut foliations, Math. Res. Lett. 28 (2021), no. 4, 1197–1215. (arXiv version).
- Knot homologies in monopole and instanton theory via sutures, J. Symplectic Geom. Vol. 19, No. 6 (2021), pp. 1339-1420 (arXiv version).
- Gluing maps and cobordism maps for sutured monopole Floer homology, Algebr. Geom. Topol. 21 (2021), no. 6, 3019–3071. (arXiv version).
- Contact structures, excisions, and sutured monopole Floer homology, Algebr. Geom. Topol. 20 (2020), no. 5, 2553–-2588. (arXiv version).
- With Qilong Guo, Width of the Whitehead double of a non-trivial knot , J. Knot Theory and its Ramifications, 28 (2019), no. 14, 1950081, 8 pp. (arXiv version).
- With Qilong Guo, Width of a satellite knot and its companion , Algebr. Geom. Topol. 18 (2018), no. 1, 1–13. (arXiv version).
Preprints
- With Sudipta Ghosh, Knot cobordism, torsion order and framed instanton homology, (arXiv version)
- With Fan Ye, Knot surgery formulae for instanton Floer homology II: applications, (arXiv version).
- With Yi Xie and Boyu Zhang, Instanton homology and knot detection on thickened surfaces, (arXiv version).
- With Fan Ye, Seifert surface complements of nearly fibered knots, (arXiv version).
- With Fan Ye, Knot surgery formulae for instanton Floer homology I: the main theorem, (arXiv version).
- With Fan Ye, SU(2) representations and a large surgery formula, (arXiv version).
- With Fan Ye, An enhanced Euler characteristic of sutured instanton homology, (arXiv version).
- With Sudipta Ghosh and C.-M. Michael Wong, Tau invariants in monopole and instanton theories, (arXiv version).
Mentorships
- With Yi Liang, Some computations on instanton knot homology, J. Knot Theory Ramifications 32 (2023), no. 2, Paper No. 2350007, 14 pp. (arXiv version).
- With Jessica Zhang, Classification of tight contact structures on a solid torus, accepted by Math. Res. Lett. (arXiv version).
- With Nithin Kavi and Wendy Wu, Trunk of Satellite and Companion Knots , Topology Appl. 272 (2020), 107054, 13 pp. (arXiv version).
