Hyoyoon Lee (이효윤)
I'm a G-LAMP Postdoctoral Researcher in Department of Mathematics at Sogang University(서강대학교).
email: hyoyoonlee(at)sogang.ac.kr or hyoyoonlee(at)yonsei.ac.kr
ORCID: 0000-0002-4745-8663
Research Interests:
Model Theory
Application of model theory to graph theory and extremal combinatorics
Classification theory
Tree properties and independence relations
Model theoretic Galois groups (Lascar group, Kim-Pillay group, and so forth)
Type-definability and hyperimaginary
Dissertation:
Quotient groups of the Lascar group and strong types in the context of hyperimaginaries, Yonsei University, 2022.
Advisor: Byunghan Kim.
Papers:
5. Existence in NSOP1 theories (with Byunghan Kim, and Joonhee Kim), submitted. arXiv:2405.13741
4. Relativized Galois groups of first order theories over a hyperimaginary (with Junguk Lee), Archive for Mathematical Logic, (2024). arXiv:2402.11619
3. Some Remarks on Kim-dividing in NATP Theories (with Joonhee Kim), submitted. arXiv:2211.04213
2. Preservation of NATP (with Jinhoo Ahn, Joonhee Kim, and Junguk Lee), Journal of Mathematical Logic, Online published, 20 December 2023. arXiv:2209.08753
1. Automorphism groups over a hyperimaginary (with Byunghan Kim), Journal of the Mathematical Society of Japan, 75(1): 21-49 (January, 2023). arXiv:2106.09200