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 Fourdimensional Manifolds
Papers

The relative Whitney trick and its applications (joint with Christopher W. Davis and Patrick Orson, arXiv 2104.06449)
To appear: Selecta Mathematica. New Series.

A note on the concordance ℤgenus (joint with Allison N. Miller, arXiv 2103.01726)
To appear: Michigan Mathematical Journal.

The ℤgenus of boundary links (joint with Peter Feller and Mark Powell, arXiv 2012.14367)
Submitted.

Linear independence of rationally slice knots (joint with Jennifer Hom, Sungkyung Kang, and Matthew Stoffregen, arXiv 2011.07659)
To appear: Geometry & Topology.

Nonsimply connected symplectic fillings of lens spaces (joint with Paolo Aceto and Duncan McCoy, arXiv 2009.08964)
To appear: Bulletin of the London Mathematical Society.

A note on the fourdimensional clasp number of knots (joint with Peter Feller, arXiv 2009.01815)
To appear: Mathematical Proceedings of the Cambridge Philosophical Society.

Isotopy and equivalence of knots in 3manifolds (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)
To appear: Mathematical Research Letters.

Branched covers bounding rational homology balls (joint with Paolo Aceto, Jeffrey Meier, Allison N. Miller, Maggie Miller, and András I. Stipsicz, arXiv 2002.10324)
To appear: Algebraic & Geometric Topology.

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 4manifolds (joint with Paolo Aceto, arXiv 1903.01260)
We do not plan to submit for peerreviewed publication, since the main result will be superseded by an upcoming paper with Paolo Aceto and Duncan McCoy.

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 3manifolds (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 sliceribbon conjecture (joint with Paolo Aceto, Min Hoon Kim, and Arunima Ray, arXiv 1805.02885)
To appear: Mathematical Research Letters.

A ribbon obstruction and derivatives of knots (joint with Mark Powell, arXiv 1802.00582)
To appear: Israel Journal of Mathematics.

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 1solvable (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 nonsplit 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. 34, 1431–1452.

Inequality on t_nu(K) defined by Livingston and Naik and its applications, (arXiv 1603.04740)
Proc. Amer. Math. Soc. 145 (2017), 889891.

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.