Education

Ph.D. in Mathematics, Korea University, Seoul, Korea

Sep. 2015 – Aug. 2020

- Advisor: Seungsang Oh

- Thesis: "Theta-curves in the cubic lattice Z3"

B.Sc. in Mathematics, Chungnam National University, Deajeon, Korea

Mar. 2008 – Aug. 2015

Published and Accepted Papers

1. Linear upper bounds on the ribbonlength of knots and links (joint with Hyoungjun Kim and Sungjong No), (To appear in Algebr. Geom. Topol. , arxiv: https://arxiv.org/abs/2409.13572)

2. Three-page indices for rational links and pretzel links, J. Knot Theory Ramifications 35(1) (2026) 2550074.

3. Three-page indices of torus links (joint with Useong Jang and Minseo Lee), J. Knot Theory Ramifications 34(23) (2025) 2550063.

4. Linking number of Montesinos links (joint with Hyoungjun Kim and Sungjong No), Topology Appl. 371(1) (2025) 109359.

5. Designing quantum circuits for decoding binary linear codes (joint with Whan-Hyuk Choi and Yoonjin Lee), J. Phys. A: Math. Theor. 58(1) (2025) 015302

6. Quantum knot mosaics and bounds of the growth constant  (joint with Dooho Choi, Hyoungjun Kim and Seungsang Oh), Rev. Math. Phys. 36(10) (2024) 2450025

7. On the Laplacian spectrum of k-symmetric graphs (joint with Sunyo Moon), Discrete. Math. 347(1) (2024) 113681.

8. Topology-based optimization of handcuff graphs on 3D lattice (joint with Sungjong No and Seungsang Oh), Phys. Scr. 99(1) (2023) 113681.

9. Folded ribbonlength of 2-bridge knots (joint with Hyoungjun Kim and Sungjong No), J. Knot Theory Ramifications 32(04) (2023) 2350030.

10. Petal number of torus knots (joint with Hyoungjun Kim and Sungjong No), J. Knot Theory Ramifications 31(13) (2022) 2250096

11. Ribbonlength of twisted torus knots (joint with Hyoungjun Kim and Sungjong No), J. Knot Theory Ramifications 31(12) (2022) 2250092

12. Lattice conformation of theta-curves accompanied with Brunnian property (joint with Hyoungjun Kim, Hwa Jeong Lee, Seungsang Oh and Sungjong No), J. Phys. A: Math. Theor. 55(43) (2022) 435207

13. Topological aspects of theta-curves in cubic lattice (joint with Sungjong No and Seungsang Oh), J. Phys. A: Math. Theor. 54 (2021) 455204.

14. Lattice stick number of spatial graphs (joint with Chaeryn Lee and Seungsang Oh), J. Knot Theory Ramifications 27 (2018) 1850048.

15. Bisected vertex leveling of plane graphs: Braid index, arc index and delta diagrams (joint with Sungjong No and Seungsang Oh), J. Knot Theory Ramifications 27 (2018) 1850044.

Invited Talks

1. Quantum circuit design for efficient decoding of binary linear codes, December 12, 2025, The 9th workshop on algebras with related topics, Online

2. Grover-based quantum decoding of binary linear codes, November 29, 2025, 3rd Industrial Mathematics Day, Chungnam National University, Daejeon, Republic of Korea.

3. Three-page presentations and arc indices for knots, November 6, 2024, Knots and Spatial Graphs 2024,United Arab Emirates University, UAE

4. Restricted arc-presentations of knots and links, August 20, 2024, Topology Workshop on Knot theory and related topics, Hotel De Monde, Damyang, Republic of Korea.

5. New operation for graphs with symmetric properties, July 20, 2023, 2nd workshop on combinatorics and graphs, Yeungnam University, Gyeongsan, Republic of Korea.

6. Knot Projection with Multi-Crossings, December 27, 2021, HYU Low-Dimensional Topology Workshop, Hanyang University, Seoul, Republic of Korea.

7. Comparison of ascending number and genus of knots, February 3, 2021, Knots and Spatial Graphs 2021, Online.

8. Brunnian properties of theta-curves, November 14, 2020, The 3rd Meeting on Spatial Graph Theory, The Bloomvista, Yangpyeong, Republic of Korea.

9. Minimally knotted spatial cubic graphs with two vertices, July 19, 2020, The 5th Mini Workshop on Knot Theory, Maison Glad, Jeju, Republic of Korea.

Contributed Talks

1. Petal number of torus knots, January 20, 2022, The 17th East Asian Conference on Geometric Topology, Online.

2. Ribbonlength of torus links and twisted torus knots, April 29, 2021, 2021 KMS Spring Meeting, Online.

3. Minimum intersection number of Brunnian theta-curves, July 3, 2020, 2020 KMS Spring Meeting, Online.

4. Small lattice spatial 3-regular graphs with two vertices, February 11, 2020, The 15th East Asian Conference on Geometric Topology, RIMS, Kyoto University, Japan.

5. Small lattice spatial graphs of theta-curve and handcuff graph, October 26, 2019, 2019 KMS Annual Meeting, Hongik University, Seoul, Korea.

6. The lattice embedding of theta-curve and handcuff graph with small lattice stick number, July 1, 2019, The 2nd Meeting on Spatial Graph Theory, Waseda University, Tokyo, Japan.

7. Theta-curves and handcuff graphs with small lattice stick numbers, Afril 20, 2019, 2019 KMS spring meeting, Kangwon National University, Chuncheon, Republic of Korea.

8. Effectivity of cut component decomposition for lattice stick number of spatial graphs, June 20, 2018, Spatial Graph School, Williams College, Williamstown, MA, USA.

9. Lattice stick number of spatial graphs, January 23, 2018, School of Spatial Graph Theory, Nihon University, Tokyo, Japan.

10. Lattice stick number of spatial graphs, April 29, 2017, 2017 KMS Spring Meeting, Chosun University, Gwangju, Republic of Korea.