JungHwan Park (박정환)

Contact Information
Department of Mathematical Sciences, KAIST, South Korea
Email: jungpark0817 (at) kaist.ac.kr

Curriculum Vitae

Research Interests
Topology, Knot Theory, Three and Four-dimensional Manifolds

Papers

• Exotic Dehn twists and homotopy coherent group actions (with Sungkyung Kang and Masaki Taniguchi, arXiv 2409.11806)
  Submitted.


• A survey on embeddings of 3-manifolds in definite 4-manifolds (with Paolo Aceto and Duncan McCoy, arXiv 2407.03692)
  Submitted.


• Cables of the figure-eight knot via real Frøyshov invariants (with Sungkyung Kang and Masaki Taniguchi, arXiv 2405.09295)
  Submitted.


• A note on rational band moves (with Daren Chen, Jennifer Hom, Min Hoon Kim, and Zhongtao Wu, arXiv 2311.11507)
  Matematica 3 (2024), no. 2, 777–782.


• Doubled Disks and Satellite Surfaces (with Gary Guth, Kyle Hayden, and Sungkyung Kang, arXiv 2310.19713)
  Submitted.


• Concordance to boundary links and the solvable filtration (with Christopher W. Davis and Shelly Harvey, arXiv 2305.11268)
  Submitted.


• Topologically and rationally slice knots (with Jennifer Hom and Sungkyung Kang, arXiv 2304.06265)
  Submitted.


• Slice obstructions from genus bounds in definite 4-manifolds (with Paolo Aceto, Nickolas A. Castro, Maggie Miller, and András I. Stipsicz, arXiv 2303.10587)
  Submitted.


• Handle decomposition complexity and representation spaces (with Paolo Aceto, Aliakbar Daemi, Jennifer Hom, and Tye Lidman, arXiv 2210.06607)
  Submitted.


• Definite fillings of lens spaces (with Paolo Aceto and Duncan McCoy, arXiv 2208.02586)
  To appear: Journal of Differential Geometry.


• The (2,1)-cable of the figure-eight knot is not smoothly slice (with Irving Dai, Sungkyung Kang, Abhishek Mallick, and Matthew Stoffregen, arXiv 2207.14187)
  To appear: Inventiones Mathematicae. (Article in Quanta.)


• Torsion in the knot concordance group and cabling (with Sungkyung Kang, arXiv 2207.11870)
  To appear: Journal of the European Mathematical Society (JEMS).


• Unknotting number and cabling (with Jennifer Hom and Tye Lidman, arXiv 2206.04196)
  Submitted.


• Seifert surfaces in the 4-ball (with Kyle Hayden, Seungwon Kim, Maggie Miller, and Isaac Sundberg, arXiv 2205.15283)
  Submitted. (Article in Quanta.)


• The relative Whitney trick and its applications (with Christopher W. Davis and Patrick Orson, arXiv 2104.06449)
  Selecta Math. (N.S.) 28 (2022), no. 2, Paper No. 27.


• A note on the concordance ℤ-genus (with Allison N. Miller, arXiv 2103.01726)
  Michigan Math. J.74(2024), no.1, 73–83.


• The ℤ-genus of boundary links (with Peter Feller and Mark Powell, arXiv 2012.14367)
  Rev. Mat. Complut. 36 (2023), no. 1, 1–25.


• Linear independence of rationally slice knots (with Jennifer Hom, Sungkyung Kang, and Matthew Stoffregen, arXiv 2011.07659)
  Geom. Topol. 26 (2022), no. 7, 3143–3172.


• Non-simply connected symplectic fillings of lens spaces (with Paolo Aceto and Duncan McCoy, arXiv 2009.08964)
  Bull. Lond. Math. Soc. 54 (2022), no. 3, 1010–1026.


• A note on the four-dimensional clasp number of knots (with Peter Feller, arXiv 2009.01815)
  Math. Proc. Cambridge Philos. Soc. 173 (2022), no. 1, 213–226.


• Isotopy and equivalence of knots in 3-manifolds (with Paolo Aceto, Corey Bregman, Christopher W. Davis, and Arunima Ray, arXiv 2007.05796)
  Submitted.


• Ribbon knots, cabling, and handle decompositions (with Jennifer Hom and Sungkyung Kang, arXiv 2003.02832)
  Math. Res. Lett. 28 (2021), no.5, 1441–1457.


• Branched covers bounding rational homology balls (with Paolo Aceto, Jeffrey Meier, Allison N. Miller, Maggie Miller, and András I. Stipsicz, arXiv 2002.10324)
  Algebr. Geom. Topol. 21 (2021), no. 7, 3569–3599.


• Genus one cobordisms between torus knots (with Peter Feller, arXiv 1910.01672)
  Int. Math. Res. Not. IMRN (2021), no. 1, 521–548.


• Concordance to links with an unknotted component (with Christopher W. Davis, arXiv 1908.02396)
  Math. Proc. Cambridge Philos. Soc. 170 (2021), no. 1, 155–160.


• Homology spheres and property R (with Min Hoon Kim, arXiv 1906.11234)
  Proc. Amer. Math. Soc. 149 (2021), no. 3, 1323–1328.


• Embedding lens spaces in definite 4-manifolds (with Paolo Aceto, arXiv 1903.01260)
  We do not plan to submit for peer-reviewed publication. This article is superseded by Definite fillings of lens spaces.


• Rational cobordisms and integral homology (with Paolo Aceto and Daniele Celoria, arXiv 1811.01433)
  Compos. Math. 156 (2020), no. 9, 1825–1845.


• On distinct finite covers of 3-manifolds (with Stefan Friedl, Bram Petri, Jean Raimbault, and Arunima Ray, arXiv 1807.09861)
  Indiana Univ. Math. J. 70 (2021), no. 2, 809–846.


• Linear independence of cables in the knot concordance group (with Christopher W. Davis and Arunima Ray, arXiv 1806.06225)
  Trans. Amer. Math. Soc. 374 (2021), no. 6, 4449–4479.


• Pretzel links, mutation, and the slice-ribbon conjecture (with Paolo Aceto, Min Hoon Kim, and Arunima Ray, arXiv 1805.02885)
  Math. Res. Lett. 28 (2021), no. 4, 945–966.


• A ribbon obstruction and derivatives of knots (with Mark Powell, arXiv 1802.00582)
  Israel J. Math. 250 (2022), no. 1, 265–305.


• Concordance of knots in S1xS2 (with Christopher W. Davis, Matthias Nagel, and Arunima Ray, arXiv 1707.04542)
  J. Lond. Math. Soc. (2) 98 (2018), no. 1, 59–84.


• Smooth and topological almost concordance (with Matthias Nagel, Patrick Orson, and Mark Powell, arXiv 1707.01147)
  Int. Math. Res. Not. IMRN (2019), no. 23, 7324–7355.


• Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link (with Min Hoon Kim and David Krcatovich, arXiv 1703.10325)
  Trans. Amer. Math. Soc. 371 (2019), no. 8, 5379–5400.


• Every genus one algebraically slice knot is 1-solvable (with Christopher W. Davis, Taylor E. Martin, and Carolyn Otto, arXiv 1606.00479)
  Trans. Amer. Math. Soc. 372 (2019), no. 5, 3063–3082.


• A family of non-split topologically slice links with arbitrarily large smooth slice genus (with Arunima Ray, arXiv 1605.07045)
  Proc. Amer. Math. Soc. 146 (2018), no. 1, 439–448.


• On the Upsilon invariant and satellite knots (with Peter Feller and Arunima Ray, arXiv 1604.04901)
  Math. Z. 292 (2019), no. 3-4, 1431–1452.


• Inequality on t_nu(K) defined by Livingston and Naik and its applications, (arXiv 1603.04740)
  Proc. Amer. Math. Soc. 145 (2017), 889-891.


• Milnor’s triple linking number and derivatives of genus three knots, (arXiv 1603.09163)
  Submitted.


• A construction of slice knots via annulus modifications, (arXiv 1512.00401)
  Topology Appl. 238 (2018), 1–19.