Dr Sungkyung Kang
Status
Research Fellow
Stipendiary lecturer in applied mathematics, Keble College (for Michaelmas 2023)
Research associate, Keble College (2023-2024)
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent publications
Topologically and rationally slice knots
Hom, J Kang, S Park, J Selecta Mathematica volume 31 issue 2 28 (01 Apr 2025) The (2,1)-cable of the figure-eight knot is not smoothly slice
Dai, I Kang, S Mallick, A Park, J Stoffregen, M Inventiones Mathematicae volume 238 issue 2 371-390 (03 Sep 2024) Torsion in the knot concordance group and cabling
Kang, S Park, J Journal of the European Mathematical Society (26 Aug 2024) Involutive knot Floer homology and bordered modules
Kang, S Quantum Topology (20 Nov 2023) Linear independence of rationally slice knots
Hom, J Kang, S Park, J Stoffregen, M Geometry & Topology volume 26 issue 7 3143-3172 (23 Jan 2023) Research interests
I study knots, 3-manifolds, and their cobordisms via Heegaard Floer theory. I am also interested in its connections to gauge-theoretic invariants, including Seiberg-Witten theory.