Papers (arXiv, MathSciNet)

  1. Non-slice 3-stranded pretzel knots (joint with Changhee Lee and Minkyoung Song), arXiv:2101.00865.
  2. Primary decomposition of knot concordance and von Neumann rho-invariants (joint with Se-Goo Kim and Taehee Kim) Proceedings of the American Mathematical Society 149 (2021) 439–447.
  3. One-bipolar topologically slice knots and primary decomposition (joint with Se-Goo Kim and Taehee Kim) arXiv:1911.08055, to appear in International Mathematics Research Notes (IMRN).
  4. Non-slice linear combinations of algebraic knots (joint with Anthony Conway and Wojciech Politarczyk) arXiv:1910.01368, to appear in Algebraic and Geometric Topology.
  5. Homology spheres and property R (joint with JungHwan Park) Proceedings of the American Mathematical Society 149 (2021) 1323–1328.
  6. A family of freely slice good boundary links (joint with Jae Choon Cha and Mark Powell) Mathematische Annalen 376 (2020) no. 3, 1009-1030.
  7. Pretzel links, mutation, and the slice-ribbon conjecture (joint with Paolo Aceto, JungHwan Park and Arunima Ray) arXiv:1805.02885, to appear in Mathematical Research Letters.
  8. Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot (joint with Matthew Hedden, Thomas E. Mark and Kyungbae Park) Transactions of the American Mathematical Society 372 (2019) no. 11, 7619-7638.        
  9. The bipolar filtration of topologically slice knots (joint with Jae Choon Cha), Advances in Mathematics 388 (2021), 107868.
  10. Ideal classes and Cappell-Shaneson homotopy 4-spheres (joint with Shohei Yamada) arXiv:1707.03860.
  11. Round handle problem (joint with Mark Powell and Peter Teichner) Pure and Applied Math Quarterly 17 (2021) no. 1, 237–247.
  12. Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link (joint with David Krcatovich and JungHwan Park)  Transactions of the American Mathematical Society 371 (2019) no. 8, 5379-5400.   
  13. On rational sliceness of Miyazaki’s fibered, -amphicheiral knots (joint with Zhongtao Wu) Bulletin of the London Mathematical Society 50 (2018) no. 3, 462-476.
  14. An infinite-rank summand of knots with trivial Alexander polynomial (joint with Kyungbae Park) Journal of Symplectic Geometry 16 (2018) no. 6, 1749-1771.
  15. Rasmussen s-invariants of satellites do not detect slice knots (joint with Jae Choon Cha) Journal of Knot Theory and its Ramifications 26 (2017) no. 2, Special issue for Tim Cochran, 1740001.
  16. Whitney towers, Gropes and Casson-Gordon style invariants of links Algebraic and Geometric Topology 15 (2015) no. 3, 1813-1845.
  17. Smoothly slice boundary links whose derivative links have nonvanishing Milnor invariants (joint with Hye Jin Jang and Mark Powell) Michigan Mathematical Journal 63 (2014) no. 2, 423-446.


  • The disc embedding theorem (co-edited with Stefan Behrens, Boldiszar Kalmar, Mark Powell and Arunima Ray), Oxford University Press, 2021. xvii+473 pp. ISBN: 978–0–19–884131–9.