Sangrok Oh

Publications

Published and accepted papers

1. **Embeddability of right-angled Artin groups into hierarchically hyperbolic groups** (with J. Park).   To appear in *Groups, Geometry, and Dynamics*. [arXiv]

• This paper corrects an error in Runnels’s argument concerning RAAG subgroups of mapping class groups.

2. **Liftable automorphisms of right-angled Artin groups** (with D. Seo and P. Tranchida). *Journal of Group Theory* **28** (2025), no. 3, 647–682. [arXiv][Journal Link]

3. **Correction to “Automorphism and outer automorphism groups of right-angled Artin groups are not relatively hyperbolic”** (with J. Kim and P. Tranchida). *Bulletin of the Australian Mathematical Society* **110** (2024), no. 1, 171–176. [arXiv][Journal Link]

4. **Quasi-isometry invariants of weakly special square complexes**. *Topology and its Applications* **307** (2022), Article 107945. [arXiv] [Journal Link]
   - Corrigendum: *Topology and its Applications* **337** (2023), Article 108646. Corrigendum
   - The arXiv version incorporates the corrections in the 2023 corrigendum.

5. **Automorphism and outer automorphism groups of right-angled Artin groups are not relatively hyperbolic** (with J. Kim and P. Tranchida). *Bulletin of the Australian Mathematical Society* **106** (2022), no. 1, 102–112. [arXiv][Journal Link]

Preprints

1. **Product subcomplexes and intersection complexes of weakly special square complexes** [arXiv]

• This paper corrects and extends the constructions in my earlier paper, “Quasi-isometry invariants of weakly special square complexes.” It develops a common framework for product subcomplexes and intersection complexes in compact nonpositively curved square complexes and CAT(0) square complexes.

2. **Hierarchical geometry and right-angled Artin groups in graph braid groups** (with B. An and J. Park). [arXiv]

3. **From algebraic orthogonality to RAAG embedding obstructions in hierarchically hyperbolic groups** (with J. Park). [arXiv]

• This paper concerns the converse direction of "Embeddability of right-angled Artin groups into hierarchically hyperbolic groups".

4. **Cubical structures and the large-scale geometry of graph braid groups** (with B. An). [arXiv]

• This paper is a revised version of the first part of our earlier preprint, “Quasi-isometry classification of certain graph 2-braid groups and its applications”.

5. **Quasi-isometry classification of certain graph 2-braid groups and its applications** (with B. An). [arXiv].

In preparation

1. **Hierarchical hyperbolicity from graph factor system** (with J. Park).

2. **Quasi-isometry classification of 2-braid groups over graphs of circumference at most one** (with B. An).

3. **Right-angled Artin subgroups of mapping class groups: undistortion and boundary extension** (with J. Park).

Honors and Awards

• The Presidential Science Scholarship, Feb. 2007 - Feb. 2011, Korea

• Research Grant(2022R1I1A1A01066147), Geometry of graph braid groups, June 2022 - May 2023, KRW 70Million, National Research Foundation, Korea 

Invited talks and lectures

• Mar 2026, PNU Geometry and Topology seminar, Pusan National University, Republic of Korea

   Title: Right-angled Artin groups in hierarchically hyperbolic groups

• Feb 2026, Virtual Seminar on Geometry and Topology, KIAS, Republic of Korea

   Title: Right-angled Artin groups in hierarchically hyperbolic groups

• Oct 2025, CUNY Geometry and Topology Seminar, CUNY, USA

   Title: Right-angled Artin groups in hierarchically hyperbolic groups

• Aug 2024, Configuration spaces and related topics, Kyungpook National University, Republic of Korea 

   Title: Large scale geometry of graph braid groups

• Feb 26~29, 2024, KNU Mathematics Intensive Lecture Series, Kyungpook National University,  Republic of Korea

   Title: Introduction to Geometric Group Theory (Link to the webpage)

• Nov 16, 2023, Geometry and Analysis on Groups Research Seminar,  University of Vienna, Austria

   Title: Quasi-isometric rigidity of graph braid groups

• Nov 8, 2023, GTA Bilbao Seminar,  UPV, Spain

   Title: Large scale geometry of (outher) automorphism groups of RAAGs

• Sep 2023, Spanish-Polish Mathematical Meeting, Łódź, Poland

   Title: Large scale geometry of graph 2-braid groups

• Feb 2023, Configuration spaces and related topics, Kyungpook National University, Republic of Korea 

   Title: Large scale geometry of graph 2-braid groups

• May 2022, PK2 Topology Workshop, Jeju Island, Republic of Korea 

   Title: Large scale geometry of Out(RAAG)

• May 2022, Euler seminar in Korea, online

   Title: Quasi-isometry invariants of CAT(0) cube complexes

• Jan 2022, The 17th East Asian Conference on Geometric Topology, KIAS/online

   Title: Quasi-isometric classification of 2-dimensional RAAGs

Article reviews

• MR4801615