Jae Choon Cha is an Associate Professor of Mathematics and K. W. Kwun Chair Professor at POSTECH.  He is also an Affiliate Professor at KIAS, and an Editor of Bulletin of the Korean Mathematical Society.

  1. Hidden torsion in 3-manifold groups and homology cobordism, The 8th East Asian School of Knots and Related Topics, January 11, 2012, Daejeon, Korea.
  2. An introduction to $L^2$-invariants I, II, III, The 8th East Asian School of Knots and Related Topics, January 9-11, 2012, Daejeon, Korea.
  3. Invariants of cobordism of knots and 3-manifolds, Invited talk at 2011 Fall Meeting of Mathematical Society of Japan, September 28, 2011, Shinshu University, Matsumoto City, Nagano, Japan.
Research on Geometric Topology
  • Knot theory: placement problems of manifold pairs
  • Topology of low dimensional manifolds  
  • Related algebra, homotopy theory, and L2-invariants

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

  1. Jae Choon Cha and Daniel Ruberman, Concordance to links with unknotted components, to appear in Algebraic and Geometric Topology.
    [ Preprint version arXiv:1103.2417 (10 pages) ]
  2. Jae Choon Cha and Kent E. Orr, Hidden torsion, 3-manifolds, and homology cobordism, to appear in Journal of Topology.
    [ Preprint version arXiv:1101.4092 (23 pages) ]
  3. Jae Choon Cha, Taehee Kim, Daniel Ruberman, and Saso Strle, Smooth concordance of links topologically concordant to the Hopf link, to appear in Bulletin of the London Mathematical Society.
    [ Preprint version arXiv:1012.2045 (8 pages) ]
  4. Jae Choon Cha, Amenable L2-theoretic methods and knot concordance.
    [ Preprint version arXiv:1010.1058 (25 pages) ]
  5. Jae Choon Cha and Stefan Friedl, Twisted torsion invariants and link concordance, to appear in Forum Mathematicum.
    [ Preprint version arXiv:1001.0926 (26 pages) ]
  6. Jae Choon Cha and Kent E. Orr, $L^2$-signatures, homology localization, and amenable groups, to appear in Communications on Pure and Applied Mathematics (CPAM).
    [ Preprint version arXiv:0910.3700 (33 pages) ]
  7. Jae Choon Cha, Stefan Friedl, and Taehee Kim, The cobordism group of homology cylinders, Compositio Mathematica 147 (2011), 914-942.
    [ Compositio home page | Preprint version arXiv:0909.5580 ]