jyham@cau.ac.kr

Da Vinci College of General Education

(with Lee)

*Remarks on the Liechti-Strenner's examples having small dilatations.*Preprint, 2019.(with Lee)

*Golden ratio on orientable surfaces or odd genus g >= 3.**The Euler International Mathematical Institute 2019*Preprint, 2019.(with Lee)

*Golden ratio on nonorientable surfaces.**GAGTA2019*Preprint, 2019.(with Lee) On the volume and the Chern-Simons invariant for the alternating knot orbifolds.

*article**KMS2017*Preprint, 2017.(with Lee)

*Explicit formulae for Chern-Simons invariants of the hyperbolic $J(2n,-2m)$ knot orbifolds.*Preprint, 2017.(with Lee, Mednykh, and Rasskazov)

*An explicit volume formula for the link $7_3^2 (\alpha, \alpha)$ cone-manifolds.*Siberian Electronic Mathematical Reports, Tom 13, cmp. 1017-1025 (2016), DOI 10.17377/semi.2016.13.080.(with Lee, Mednykh, and Rasskazov)

*On the volume and the Chern-Simons invariant for the $2$-bridge knot orbifolds.*J. Knot Theory Ramifications, 26(12):1750082, 22, 2017.(with Lee)

*An explicit formula for the $A$-polynomial of the knot with Conway's notation $C(2n, 3)$.*J. Knot Theory Ramifications, Vol. 25, No. 10 (2016) 1650057, 9.(with Lee)

*Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation $C(2n, 3)$.*Lett. Math. Phys., 107(3):427-437, 2017.(with Lee)

*The volume of hyperbolic cone-manifolds of the knot with Conway's notation $C(2n, 3)$.*J. Knot Theory Ramifications 25(6):1650030, 9, 2016.(with Lee) Explicit formulae for Chern-Simons invariants of the twist knot orbifolds and Edge polynomials of twist knots.

*English**Russian*Matematicheskii Sbornik, 2016, Vol. 207, Number 9, 144-160; translation in Sb. Math. 207 (2016), no. 9-10, 1319-1334.(with Mednykh and Petrov)

*Trigonometric identities and volumes of the hyperbolic twist knot cone-manifolds.*Journal of Knot Theory and Its Ramifications Vol. 23, No. 12 (2014) 1450064 (16 pages) (SCI).(with Cho)

*The minimal dilatation of a genus two surface.*Experimental Mathematics (17:3) 2008 257-267 (SCI).(with Song)

*The minimum dilatation of pseudo-Anosov 5-braids.*Experimental Mathematics (16:2) 2007 167-179 (SCI).*The minimal dilatations of 4 and 5 braids.*Ph. D. thesis, University of California at Santa Barbara 2006.