Email: [last name]jk[at]stanford[dot]edu
I am a Szegö Assistant Professor at Stanford University. I received my Ph.D. from Harvard University in May 2025, under the supervision of Prof. Peter Kronheimer.
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
• Multi-framed real monopole Floer theory, arXiv (2026).
• 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) Quantum Topology.
• Monopole Floer homology and real structures, arXiv (2022) accepted by Algebraic and Geometric Topology.
• No growth-gaps for special cube complexes (with Daniel T. Wise), Groups, Geometry, and Dynamics 14 (2020), no.1, pp. 117 - 135.