Department of Mathematical Sciences
Seoul National University
1 Gwanak-ro, Gwanak-gu
Seoul 08826
South Korea

Phone: +82-(0)2-880-1435
Email: gyeseonlee [at] snu.ac.kr

Career

Assistant Professor, Seoul National University, March 2022 - present

Assistant Professor, Sungkyunkwan University, September 2019 - February 2022

Postdoctoral Researcher, Universität Heidelberg, September 2012 - August 2019
Mentor: Anna Wienhard

Research Member, Mathematical Sciences Research Institute, March - May 2015
MSRI program: Dynamics on moduli spaces of geometric structures

Postdoctoral Researcher, Seoul National University, April - August 2012
Mentor: Seonhee Lim

Visiting Researcher, Institut Henri Poincaré, January - March 2012
IHP program: Geometry and analysis of surface group representations

Postdoctoral Researcher, Seoul National University, September 2010 - December 2011
Mentor: Seonhee Lim

Visiting Student, University of Melbourne, February - August 2009
Advisor: Craig D. Hodgson

Mandatory Military Service, Korea, December 2001 - January 2004

Education

PhD, Mathematics, KAIST, March 2006 - August 2010
Advisor: Suhyoung Choi
Thesis Title: Projective deformations of hyperbolic Coxeter 3-orbifolds

MSc, Mathematics, KAIST, March 2002 - February 2006
Advisor: Gyo Taek Jin
Thesis Title: A study on trisecants of spatial graphs

BSc, Mathematics (Summa cum laude), KAIST, March 1998 - February 2002

Research Interests

Geometry and Topology: Geometric structures on manifolds and orbifolds, Representation varieties,
Hyperbolic and real projective geometry, Discrete subgroups of Lie groups, Coxeter groups, Knot theory

Published or Accepted papers

Convex cocompactness for Coxeter groups
with Jeffrey Danciger, François Guéritaud, Fanny Kassel and Ludovic Marquis,  to appear in Journal of the European Mathematical Society

Cusped Borel Anosov representations with positivity
with Tengren Zhang,  Geometriae Dedicata 218 (2024), article number 54

Hitchin components for orbifolds
with Daniele Alessandrini and Florent Schaffhauser,  Journal of the European Mathematical Society 25 (2023), 1285-1347

Deformation spaces of Coxeter truncation polytopes
with Suhyoung Choi and Ludovic Marquis,  Journal of the London Mathematical Society 106 (2022), 3822-3864

A small closed convex projective 4-manifold via Dehn filling
with Ludovic Marquis and Stefano Riolo,  Publicacions Matemàtiques 66 (2022), 369-403

Convex projective generalized Dehn filling
with Suhyoung Choi and Ludovic Marquis,  Annales Scientifiques de l'École Normale Supérieure 53 (2020), 217-266

Anti-de Sitter strictly GHC-regular groups which are not lattices
with Ludovic Marquis,  Transactions of the American Mathematical Society 372 (2019), 153-186

Pappus theorem, Schwartz representations and Anosov representations
with Thierry Barbot and Viviane Pardini Valério,  Annales de l'Institut Fourier 68 (2018), 2697-2741

Convex projective structures on nonhyperbolic three-manifolds
with Samuel A. Ballas and Jeffrey Danciger,  Geometry & Topology 22 (2018), 1593-1646

Collar lemma for Hitchin representations
with Tengren Zhang,  Geometry & Topology 21 (2017), 2243-2280

Projective deformations of weakly orderable hyperbolic Coxeter orbifolds
with Suhyoung Choi,  Geometry & Topology 19 (2015), 1777-1828

Projective deformations of hyperbolic Coxeter 3-orbifolds
with Suhyoung Choi and Craig D. Hodgson,  Geometriae Dedicata 159 (2012), 125-167

Preprints

Anosov triangle reflection groups in SL(3,R)
with Jaejeong Lee and Florian Stecker,  arXiv:2106.11349

Survey papers

Discrete Coxeter groups
with Ludovic Marquis,  arXiv:2109.06758

Deformations of convex real projective manifolds and orbifolds
with Suhyoung Choi and Ludovic Marquis,   Handbook of group actions. Vol. III, 263-310
Adv. Lect. Math. (ALM), 40, Int. Press, Somerville, MA, 2018

Teaching

Lecturer: Linear Algebra & Introduction to Topology II
Seoul National University, Fall 2024

Lecturer: Introduction to Topology I
Seoul National University, Spring 2024

Lecturer: Introduction to Topology II
Seoul National University, Fall 2023

Lecturer: Linear Algebra & Introduction to Topology I
Seoul National University, Spring 2023

Lecturer: Introduction to Differential Geometry II
Seoul National University, Fall 2022

Lecturer: Geometric Topology
Seoul National University, Spring 2022

Lecturer: Topology II & Algebraic Topology
Sungkyunkwan University, Fall 2021

Lecturer: Linear algebra & Topics in Topology
Sungkyunkwan University, Spring 2021

Lecturer: Topology II & Algebraic Topology
Sungkyunkwan University, Fall 2020

Lecturer: Differential geometry I
Sungkyunkwan University, Spring 2020

Lecturer: Linear algebra & Topology II
Sungkyunkwan University, Fall 2019

Lecturer: Coxeter groups and geometry (RTG program 2229)
Universität Heidelberg and Karlsruher Institut für Technologie, Spring 2018

Lecturer: Geometry of manifolds
Universität Heidelberg, Spring 2017

Lecturer: Differential geometry II
with Anna Wienhard,  Universität Heidelberg, Fall 2016

Seminar Advisor: Geometry of Lie groups
with Daniele Alessandrini,  Universität Heidelberg, Spring 2016

Seminar Advisor: Geometric structures on manifolds
Universität Heidelberg, Fall 2015

Seminar Advisor: Introduction to Riemannian geometry
with Anna Wienhard,  Universität Heidelberg, Spring 2015

Seminar Advisor: Differential forms and their use
Universität Heidelberg, Fall 2014

Seminar Advisor: Knot theory and its applications
Universität Heidelberg, Spring 2014

Seminar Advisor: Hyperbolic geometry, symmetry groups, and more
with Anna Wienhard,  Universität Heidelberg, Fall 2013

Seminar Advisor: Characteristic classes
with Anna Wienhard and Laura Schaposnik,  Universität Heidelberg, Spring 2013

Seminar Advisor: Curves and surfaces
with Anna Wienhard and Laura Schaposnik,  Universität Heidelberg, Fall 2012

Lecturer: Linear algebra
Seoul National University, Fall 2011

Lecturer: Calculus
Seoul National University, Fall 2010 - Spring 2011

Seminars Organized

Groups, Geometry and Topology Seminar

PS-SNU Geometry/Topology Online Seminar
with Bruno Duchesne

Exchange Seminar
with Seonhee Lim, Junho Peter Whang and Dohyeong Kim

Conferences Organized

Teichmüller Theory and Beyond
with Shinpei Baba, Qiongling Li, Zhe Sun and Tengren Zhang,  Seoul National University, 17 - 21 February 2025

International Conference on Einstein and Harmonic Manifolds
with Yuri Nikolayevsky and JeongHyeong Park,  Sungkyunkwan University, 19 - 22 June 2023

The 17th East Asian Conference on Geometric Topology
with Sang-hyun Kim, Hyungryul Baik, Jae Choon Cha, Min Hoon Kim and JungHwan Park,  Online, 18 - 21 January 2022

Geometric Structures and Representation Varieties
with Daniele Alessandrini,  Universität Heidelberg, 19 - 22 February 2018

Higher Teichmüller theory and Higgs bundles: Interactions and new trends
with Daniele Alessandrini and Ana Peón-Nieto,  Universität Heidelberg, 2 - 6 November 2015

Geometric Structures and Representation Varieties
with Sungwoon Kim,  KIAS, 10 - 14 November 2014

Awards or Honors

NRF(National Research Foundation of Korea) grant, October 2023 - September 2025
Discrete subgroups of the isometry group of the hyperbolic space

NRF(National Research Foundation of Korea) grant, June 2023 - February 2026
A study on discrete reflection groups

Samsung Science & Technology Foundation grant, August 2020 - July 2025
A study on convex real projective Dehn filling

NRF(National Research Foundation of Korea) grant, March 2020 - February 2023
A study on discrete representations of Coxeter groups

DFG(German Research Foundation) grant, April 2017 - March 2020
Hitchin components for orbifolds within the Priority program: SPP 2026 Geometry at Infinity
with Daniele Alessandrini

Klaus-Georg und Sigrid Hengstberger-Preis, Universität Heidelberg, October 2014
with Daniele Alessandrini and Ana Peón-Nieto

KRF(Korea Research Foundation) grant, March - August 2009
The deformation spaces of real projective structures on 3-dimensional orbifolds

Last updated: 9 July 2024