Youngjin Bae
















I am currently an assistant professor at the Math department of Incheon National University

My research interest covers symplectic geometry, contact topology, and their applications to dynamics, graph and knot theory. Nowadays, I am trying to extend my research area toward the relation between Legendrian theory and cluster theory.

Here is my CV and you can contact me by yjbae(at)inu.ac.kr




 Preprints and Publications

Legendrian links and cluster structures

[3] Lagrangian cobordism of positroid links. arXiv:2305.16232. (with Johan Asplund, Orsola Capovilla-Searle, Marco Castronovo, Caitlin Leverson, Angela Wu)

[2] Lagrangian fillings for Legendrian links of affine type. arXiv:2107.04283. (with Byung Hee An and Eunjeong Lee)

[1] Lagrangian fillings for Legendrian links of finite type. arXiv:2101.01943. (with Byung Hee An and Eunjeong Lee)

Legendrian graphs related

[5] Augmentations are sheaves for Legendrian graphs. J. Symplectic Geom. 20 (2022), no 2, 259416.  arXiv:1912.10782. (with Byung Hee An and Tao Su)

[4] Augmentations and ruling polynomials for Legendrian graphs. Algebr. Geom. Topol. 22 (2022), 2079–2185. arXiv:1911.11563. (with Byung Hee An and Tao Su)

[3] Ruling invariants for Legendrian graphs. J. Symplectic Geom. 20 (2022), no 1, 49–98.  arXiv:1911.08668. (with Byung Hee An and Tamás Kálmán)

[2] A Chekanov-Eliashberg algebra for Legendrian graphs. J. Topol. 13 (2020), no 2, 777-869, arXiv:1803.05717. (with Byung Hee An)

[1] Legendrian singular links and singular connected sums. J. Symplectic Geom. 16 (2018), no 4, 885–930. arXiv:1503.00818. (with Byung Hee and Seonhwa Kim)

Knot theory related

[2] Formality of Floer complex of the ideal boundary of hyperbolic knot complement. Asian J. Math. 25 (2021), no 1, 117176. arXiv:1901.02258. (with Seonhwa Kim and Yong-Geun Oh)

[1] A wrapped Fukaya category of knot complement. Math. Z. 304 (2023), no 29, 885–930. arXiv:1901.02239. (with Seonhwa Kim and Yong-Geun Oh)

Hamiltonian dynamics related

[4] Periodic orbits in virtually contact structures. J. Topol. Anal. 12, (2020) No. 2, 371-418. arXiv:1705.02208. (with Kevin Weigand and Kai Zehmisch)

[3] On the growth sequence for symplectically hyperbolic manifolds. Israel J. Math. 204 (2014), no. 1, 417–430. arXiv:1211.2523.

[2] On magnetic leaf-wise intersections. J. Topol. Anal. 4 (2012), no. 3, 361–411. arXiv:1111.5115.

[1] Continuation homomorphism in Rabinowitz Floer homology for symplectic deformations. Math. Proc. Cambridge Philos. Soc. 151 (2011), no 3, 471–502. arXiv:1010.1649. (with Urs Frauenfelder)

 Other activities

Honors and awards

[2] Research Grant(우수신진연구, 202200480002), Legendrian, N-graphs, and their applications, March 2022 – February 2025, KRW 175Million, National Research Foundation, Korea.

[1]  Research Grant(중견연구, 2020R1A2C1A01003201), Legendrian, Fukaya Category and Mirror Symmetry, March 2020 – February 2023, KRW 450Million, National Research Foundation, Korea. (with Byung Hee An at at Department of Mathematics Education of Kyungpook National University.)

Conferences co-organized

[10] Workshop for Young Symplectic Geometers VI, Pusan National University, June 9-11 2023.

[9] Workshop for Young Symplectic Geometers V, Sungkyunkwan University, February 24-26 2023.

[8] Workshop for Young Symplectic Geometers IV, Incheon National University, August 16-18 2022.

[7] Workshop for Young Symplectic Geometers III, Yeonsei University, February 18-20 2022.

[6] Workshop for Young Symplectic Geometers II, Ramada Plaza Jeju Hotel, Jeju, October 29-31 2021

[5Workshop for Young Symplectic Geometers I, Kyungpook National University, June 18-20 2021. 

[4Legendirans, Cluster Algebras, and Mirror symmetry, On-line, Korea, January 11∼15 2021

[3]  CIMPA-NIMS Research School on symplectic embeddings, systolic inequalities and celestial mechanics, NIMS, Korea, June 11∼20 2018. 

[2]  Pohang Math Workshop, IBS-CGP, Korea, November 24∼27 2016.

[1]  CIMPA-NIMS Research School on dynamical systems: Examples, billiards, and the 3-body problem, NIMS, Korea, May 25∼June 3 2015.