김민훈

Contact

Email: kminhoon(at)gmail.com
Address: School of Mathematics, KIAS, Hoegiro 85, Dongdaemun-gu, Seoul, 02455, Republic of Korea

About me

I am a research fellow at Korea Institute for Advanced Study (KIAS). I graduated in 2015 from Pohang University of Science and Technology (POSTECH) under the supervision of Professor Jae Choon Cha


Research interests

Knot and link concordance and related topics in low-dimensional topology

Seminar and conference co-organized

Research Papers

     1. Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot (with Matthew Hedden, Thomas E. Mark and Kyungbae Park)
     
     2. The bipolar filtration of topologically slice knots (with Jae Choon Cha)

     3. Ideal classes and Cappell-Shaneson homotopy 4-spheres (with Shohei Yamada)

     4. Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link (with David Krcatovich and JungHwan Park)
         Preprint arXiv:1703.10325 (19 pages), to appear in Transactions of the American Mathematical Society.

     5. On rational sliceness of Miyazaki's fibered, -amphicheiral knots (with Zhongtao Wu)
         Preprint arXiv:1604.04870 (14 pages), to appear in Bulletin of the London Mathematical Society.

     6. An infinite-rank summand of knots with trivial Alexander polynomial (with Kyungbae Park)
         Preprint arXiv:1604.04037 (16 pages), to appear in Journal of Symplectic Geometry.

     7. Rasmussen s-invariants of satellites do not detect slice knots (with Jae Choon Cha)

     8. Whitney towers, Gropes and Casson-Gordon style invariants of links

     9. Smoothly slice boundary links whose derivative links have nonvanishing Milnor invariants (with Hye Jin Jang and Mark Powell)

Expository Papers

     1. The round handle problem (with Mark Powell and Peter Teichner)