Li, Jiakai

Photo and contact information.

I am a graduate student supervised by Prof. Peter Kronheimer. Previously, I was an undergraduate student at McGill University (2015-2019).

My research interests are gauge theory, Floer homology, and low-dimensional topology. In particular, I use Seiberg-Witten theory to study knots and knotted surfaces.

Publications and Preprints

• Real monopoles and a spectral sequence from Khovanov homology, arXiv (2024).

• Monopole invariants for webs and foams, arXiv (2023).

• Real monopole Floer homology and skein exact triangles, arXiv (2023).

• Monopole Floer homology and real structures, arXiv (2022).

• No growth-gaps for special cube complexes (with Daniel T. Wise), Groups, Geometry, and Dynamics 14 (2020), no.1, pp. 117 - 135.