Jae Choon Cha is Professor of Mathematics and Moeunjae Chair Professor at POSTECH.  He is also an Affiliate Professor at KIAS.

2017 Spring MATH 422 Surface Topology
(= Introduction to Geometric Topology)

MW 14:00–15:15, Science Building II 105

  1. Whitney towers in a rational homology ball, Invariants in Low-dimensional Topology, May 12, 2017, KIAS, Seoul, Korea.
  2. Milnor invariants and rational Whitney towers, April 19, 2017, Indiana University, Bloomington, Indiana, USA.
  3. $L^2$-acyclic bordism and Whitney towers, The 12th East Asian School of Knots and Related Topics, February 14, 2017, University of Tokyo, Japan.
  4. Disk embedding in dimension four, The 2nd KAST and Lincei bilateral symposium, December 6, 2016, Seoul, Korea.
  5. Mathematics of dimension 4, KAIST CMC Noon Lecture, December 2, 2016, KAIST, Daejeon, Korea.
  6. A quantitative approach to Cheeger-Gromov rho invariants and 4-dimensional bordism, October 25, 2016, Hausdorff Research Institute for Mathematics, Bonn, Germany.
  7. 4-dimensional $L^2$-acyclic bordism and Whitney towers, Conference on 4-manifolds and knot concordance, October 17, 2016, Max Planck Institute for Mathematics, Bonn, Germany.
  8. 4-manifold topology and disk embedding, Math Colloquium, October 6, 2016, Seoul National University, Seoul, Korea.
  9. $L^2$-acyclic bordism groups of 3-manifolds, Topology in Dimension 3.5: a conference in memory of Tim Cochran, June 4, 2016, Rice University, Houston, Texas, USA.
  10. Complexity and Gromov norm of 3-manifolds, International workshop of PMI, May 19, 2016, POSTECH, Pohang, Korea.
  11. Quantitative topology and Cheeger-Gromov universal bounds, April 27, 2016, Seoul National University, Seoul, Korea.
  12. Disk embedding in dimension 4, Math Colloquium, March 17, 2016, KAIST, Daejeon, Korea.
  13. A survey on topological concordance and disk embedding, BIRS workshop: Synchronizing Smooth and Topological 4-Manifolds, February 22, 2016, Banff, Canada.
Research on Geometric Topology
  • Figure eight on my caffè latteInterplay between topology of dimension 3 and 4
  • Knot theory: placement problems of manifold pairs
  • Related algebra, homotopy theory, and $L^2$-invariants

KnotInfo: a table of invariants of classical knots, maintained by Charles Livingston and me.

Selected Papers

List of all papers

  1. Unknotted gropes, Whitney towers, and doubly slicing knots (with Taehee Kim)
    • Preprint arXiv:1612.02226 (43 pages)
  2. Rational Whitney tower filtration of links
    Mathematische Annalen, to appear.
    • Published (Online First) • Preprint arXiv:1609.05161
  3. Whitney towers and abelian invariants of knots (with Mark Powell and Kent E. Orr)
    • Preprint arXiv:1606.03608 (34 pages)