(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.