- Local organizing committee and Program Committee, The 13th East Asian School of Knots and Related Topics, January 29-February 1, 2018, KAIST, Daejeon, Korea.
- Program Committee, The 12th East Asian School of Knots and Related Topics, February 13-16, 2017, University of Tokyo, Japan.
- Co-organizer, Knots and Low Dimensional Manifolds: a Special Session of the International Conference for the 70th Anniversary of KMS, October 20-23, 2016, Seoul National University, Korea.
- Milnor’s question on transfinite invariants, Knotted Embeddings in Dimensions 3 and 4, February 15, 2018, CIRM, Marseille, France.
- Milnor’s transfinite invariant problem for 3-manifolds, The 13th East Asian School of Knots and Related Topics, January 31, 2018, Daejeon, Korea.
- $L^2$-acyclic bordism and knot concordance, December 19, 2017, University of Regensburg, Regensburg, Germany.
- Transfinite Milnor invariants of 3-manifolds, December 8, 2017, University of Warsaw, Warsaw, Poland.
- Transfinite Milnor invariants of 3-manifolds, December 4, 2017, Max Planck Institute for Mathematics, Bonn, Germany.
- 4-dimensional $L^2$-acyclic bordism of 3-manifolds, November 21, 2017, University Paris Diderot (Paris 7), Paris, France.
- Cheeger-Gromov $L^2$ rho-invariants and low dimensional topology, MFO workshop: Interactions between Low-dimensional Topology and Complex Algebraic Geometry, October 23, 2017, Oberwolfach, Germany.
- Milnor invariants and rational Whitney towers, September 25, 2017, St. Petersburg State University, St. Petersburg, Russia.
- Hirzebruch-type invariants of Cheeger-Gromov and low dimensional topology, Oberseminar at Max Planck Institute for Mathematics, August 31, 2017, Bonn, Germany.
- Bordism, chain homotopy, and Cheeger-Gromov $\rho$-invariants, Quantitative Geometry and Topology — a special session in Mathematical Congress of America 2017, July 25, 2017, Montreal, Canada.
- 다양체의 위상수학과 디스크 임베딩 (Topology of manifolds and disk embedding), 무은재 석좌교수 기념강연 (Mueunjae Chair Professor Lecture), May 22, 2017, POSTECH, Pohang, Korea.
- Whitney towers in a rational homology ball, Invariants in Low-dimensional Topology, May 12, 2017, KIAS, Seoul, Korea.
- Milnor invariants and rational Whitney towers, April 19, 2017, Indiana University, Bloomington, Indiana, USA.
- $L^2$-acyclic bordism and Whitney towers, The 12th East Asian School of Knots and Related Topics, February 14, 2017, University of Tokyo, Japan.
KnotInfo: a table of invariants of classical knots, maintained by Charles Livingston and me.
- Casson towers and slice links (with Mark Powell)
Inventiones Mathematicae 205 (2016), no.2, 413–457.
• Published • Preprint arXiv:1411.1621
- A topological approach to Cheeger-Gromov universal bounds for von Neumann ρ-invariants
Communications on Pure and Applied Mathematics 69 (2016), no. 6, 1154–1209.
• Published • Preprint arXiv:1405.1805
- Covering link calculus and the bipolar filtration of topologically slice links (with Mark Powell)
Geometry and Topology 18 (2014), no. 3, 1539–1579.
• Published • Preprint arXiv:1212.5011
- $L^2$-signatures, homology localization, and amenable groups (with Kent E. Orr)
Communications on Pure and Applied Mathematics 65 (2012), no. 6, 790–832.
• Published • Preprint arXiv:0910.3700
- Link concordance, homology cobordism, and Hirzebruch-type defects from iterated $p$-covers
Journal of the European Mathematical Society (JEMS) 12 (2010), no. 3, 555–610.
• Published • Preprint arXiv:0705.0088
- Injectivity theorems and algebraic closures with coefficients
Proceedings of the London Mathematical Society 96 (2008), no. 1, 227–250.
• Published • Preprint arXiv:math.GT/0609409
- The structure of the rational concordance group of knots
Memoirs of the American Mathematical Society 189 (2007), no. 885, x+95pp.
• Published • Google Books • Preprint arXiv:math.GT/0609408
List of all papers
- The bipolar filtration of topologically slice knots (with Min Hoon Kim)
• Preprint arxiv:1710.07803 (23 pages)
- Unknotted gropes, Whitney towers, and doubly slicing knots (with Taehee Kim)
Transactions of the American Mathematical Society, to appear.
• Preprint arXiv:1612.02226 (43 pages)
- Rational Whitney tower filtration of links
Mathematische Annalen 370 (2018), no. 3, 963–992.
• Published • Preprint arXiv:1609.05161
- Whitney towers and abelian invariants of knots (with Mark Powell and Kent E. Orr)
• Preprint arXiv:1606.03608 (34 pages)