Email: yhj at stanford dot edu
I am now a fourth year graduate student at Stanford University, advised by Ciprian Manolescu. Before that, I did my undergraduate at Peking University, where my advisor was Yi Xie. Here is my CV.
My research focuses on homological invariants in low-dimensional topology, such as instanton Floer homology and Khovanov homology. I am also curious about representation theory and symplectic topology, especially how developments in these areas can deepen our understanding of link homology theories. I am fortunate to be supported by the Simons Dissertation Fellowship.
In a parallel universe, I might be an urban planner, a sociologist, or a songwriter.
Intrinsic Khovanov homology in RP^3, joint with Qiuyu Ren, in preparation.
The flip map and involutions on Khovanov homology, joint with Daren Chen. arXiv
Instantons and Khovanov homology in RP^3, Trans. Amer. Math. Soc. journal, arXiv
A homological action on sutured instanton homology, Math. Res. Lett., to appear. arXiv
Annular Khovanov homology and augmented links, Algebr. Geom. Topol. 24 (2024) 325-339. journal, arXiv