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

• A note on rational band moves (joint with Daren Chen, Jennifer Hom, Min Hoon Kim, and and Zhongtao Wu, arXiv 2311.11507)
  Submitted.


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


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


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


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


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


• Definite fillings of lens spaces (joint with Paolo Aceto and Duncan McCoy, arXiv 2208.02586)
  Submitted.


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


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


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


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


• The relative Whitney trick and its applications (joint 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 (joint with Allison N. Miller, arXiv 2103.01726)
  To appear: Michigan Mathematical Journal.


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


• Linear independence of rationally slice knots (joint 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 (joint 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 (joint 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 (joint with Paolo Aceto, Corey Bregman, Christopher W. Davis, and Arunima Ray, arXiv 2007.05796)
  Submitted.


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


• Branched covers bounding rational homology balls (joint 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 (joint with Peter Feller, arXiv 1910.01672)
  Int. Math. Res. Not. IMRN (2021), no. 1, 521–548.


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


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


• Embedding lens spaces in definite 4-manifolds (joint 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 (joint with Paolo Aceto and Daniele Celoria, arXiv 1811.01433)
  Compos. Math. 156 (2020), no. 9, 1825–1845.


• On distinct finite covers of 3-manifolds (joint 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 (joint 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 (joint 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 (joint with Mark Powell, arXiv 1802.00582)
  Israel J. Math. 250 (2022), no. 1, 265–305.


• Concordance of knots in S1xS2 (joint 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 (joint 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 (joint 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 (joint 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 (joint with Arunima Ray, arXiv 1605.07045)
  Proc. Amer. Math. Soc. 146 (2018), no. 1, 439–448.


• On the Upsilon invariant and satellite knots (joint 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.