Publications

Papers (arXiv, MathSciNet)

  1. 1. Non-slice linear combinations of iterated torus knots (joint with Anthony Conway and Wojciech Politarczyk)
  2. Algebraic and Geometric Topology 23 (2023) no. 2, 765–802.
  4. 2. Non-slice 3-stranded pretzel knots (joint with Changhee Lee and Minkyoung Song)
  5. Journal of KnotTheory and its Ramifications 31 (2022) no. 3, 2250018.
  7. 3. One-bipolar topologically slice knots and primary decomposition (joint with Se-Goo Kim and Taehee Kim) 
  8. International Mathematics Research Notices 2022 (2022), no. 11, 8314–8346.
  10. 4. Pretzel links, mutation, and the slice-ribbon conjecture (joint with Paolo Aceto, JungHwan Park and Arunima Ray) 
  11. Mathematical Research Letters 28 (2021) no. 4, 945–966.

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

Book

  • 1. 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.