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*