Seul Bee LEE
Seul Bee LEE
Senior Research Fellow
Department of Mathematical Sciences, Seoul National University
1, Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of Korea
E-mail: seulbee.lee@snu.ac.kr
ORCID: 0000-0003-4903-4693
Senior Research Fellow
Department of Mathematical Sciences, Seoul National University
1, Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of Korea
E-mail: seulbee.lee@snu.ac.kr
ORCID: 0000-0003-4903-4693
Research Interest
Dynamics and Number Theory
I am interested in the dynamical systems that come from the various versions of the continued fractions, and the connection between the continued fraction and the geodesics on the hyperbolic spaces. I am also studying arithmetic, statistical, and combinatorial properties related to continued fractions.
Preprint
Extreme value theorem for geodesic flow on the quotient of the theta group (with Jaelin Kim and Seonhee Lim), preprint, arxiv:2603.07649
The Brjuno functions of the by-excess, odd, even and odd-odd continued fractions and their regularity properties (with Stefano Marmi), preprint, arXiv:2111.13553
Publications
[11] Regularity properties of the α-Wilton functions (with Ayreena Bakhtawar and Carlo Carminati), Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, (2026) https://doi.org/10.2422/2036-2145.202503_013 arXiv:2409.20401
[10] The Brjuno and Wilton functions (with Claire Burrin and Stefano Marmi), Mathematika, (2026) https://doi.org/10.1112/mtk.70068 (share link) arXiv:2503.08206
[9] Moment formulas of Siegel transforms with congruence conditions in dimension 2 (with Jiyoung Han), Indagat. Math, (2025) https://doi.org/10.1016/j.indag.2025.10.003 arXiv:2507.05905
[8] Uniform Diophantine approximation on the Hecke group H_4 (with Ayreena Bakhtawar and Dong Han Kim), Int. Math. Res. Not., Volume 2025, Issue 16, (August 2025) https://doi.org/10.1093/imrn/rnaf257 arXiv:2503.18517
[7] Diophantine approximation by rational numbers of certain parity types (with Dong Han Kim and Lingmin Liao), Mathematika, Vol. 71, e12285 (January 2025) https://doi.org/10.1112/mtk.12285 arxiv:2403.12341
[6] Regularity properties for k-Brjuno and Wilton functions (with Stefano Marmi, Izabela Petrykiewicz and Tanja I. Schindler), Aequ. Math., Vol. 98, pp. 13-85 (February 2024) https://doi.org/10.1007/s00010-023-00967-w arXiv:2106.07298
[5] A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation (with Stefano Marmi and Tanja I. Schindler), Phys. D: Nonlinear Phenom., Vol. 435, Paper No. 133300 (July 2022), https://doi.org/10.1016/j.physd.2022.133300 arXiv:2111.10807
[4] Odd-odd continued fraction algorithm (with Dong Han Kim and Lingmin Liao), Monatsh. Math., Vol. 198, pp. 323-344 (June 2022), https://doi.org/10.1007/s00605-022-01704-2 arXiv:2002.06310
[3] On the Lévy constants of Sturmian continued fractions (with Yann Bugeaud and Dong Han Kim), Pacific J. Math. Vol. 315, No. 1, pp. 1-25 (November 2021), https://doi.org/10.2140/pjm.2021.315.1 arXiv:2004.09092
[2] Quasi-Sturmian colorings on regular trees (with Dong Han Kim, Seonhee Lim, Deokwon Sim), Ergod. Th. & Dynam. Sys. Vol. 40, No. 12, pp. 3403-3419 (December 2020), https://doi.org/10.1017/etds.2019.53 arXiv:1808.05400
[1] Colorings of trees with linear, intermediate and exponential subball complexity (with Seonhee Lim), J. Korean Math. Soc. Vol. 52, No. 6, pp. 1123-1137 (November 2015), https://doi.org/10.4134/JKMS.2015.52.6.1123
Education
Ph.D in Mathematics, September 2013 - August 2014 & March 2017 - August 2020, Seoul National University, Advisor: Seonhee Lim,
Thesis Title: Generalization of continued fraction: its number-theoretical, geometrical, and combinatorial properties
M.S in Mathematics, March 2011 - August 2013, Seoul National University, Advisor: Seonhee Lim,
Thesis Title: Colorings of regular trees with linear subword complexity: First examples and properties
B.S in Mathematics, March 2007 - February 2011, University Of Seoul
Academic Appointments
Mar. 2026 - present, Senior Research Fellow, Seoul National University, Seoul, South Korea
Dec. 2024 - Feb. 2026, BK Research Professor, Seoul National University, Seoul, South Korea
Sep. 2022 - Nov. 2024, Postdoctoral Fellow, Center for Geometry and Physics, Institute for Basic Science, Pohang, South Korea
Oct. 2020 - Aug. 2022, Postdoctoral Fellow, Centro di Ricerca Matematica Ennio de Giorgi, Scuola Normale Superiore, Pisa, Italy
Sep. 2020 - Oct. 2020, Postdoctoral Fellow, Research Institute of Mathematics, Seoul National University, Seoul, South Korea
Award and Grant
2026 Sejong Science Fellowship, National Research Foundation of Korea(NRF)
2020 Spring semester Best Doctoral Dissertation Award, College of Natural Sciences, Seoul National University, August 2020.