Jinwoo Shin

Like : Having tea time with other mathematicians  / Dislike : Research

Contact Information:

Sookmyung Women's University,  Cheongpa-ro 47-gil 100, Yongsan-gu,  Seoul, 04310, Korea 

shinjin "at" sookmyung "dot" ac "dot" kr

Employment:

• Assistant Professor, Sookmyung Women's University, Seoul, Korea (Mar. 2024 - present)

• CMC Fellow, Korea Institute for Advanced Study, Seoul, Korea (Jul. 2022 - Feb. 2024)

• Research Fellow, Korea Institute for Advanced Study, Seoul, Korea (Sep. 2018 - Jun. 2022)

• Postdoctoral Researcher, Sogang University, Seoul, Korea (Mar. 2018 - Aug. 2018)

Education:

Ph.D (2018) Sogang University, 

Advisor : Prof. Jongsu Kim, 

Thesis : Three-dimensional Ricci-degenerate Riemannian manifolds satisfying geometric equation

B. Sc. (2011) Sogang University. 

Research Interest:

Differential Geometry, Geometric Analysis, Geometric Flow

Papers:

1. Convergence rate of the weighted Yamabe flow, with P. T. Ho and Z. Yan, Differential Geom. Appl. 93 (2024), Paper No. 102119.

2. Deformation of the weighted scalar curvature, with P. T. Ho, SIGMA Symmetry Integrability Geom. Methods Appl. 19  (2023), Paper No. 087.

3. Weighted Yamabe solitons, with P. T. Ho, Results Math. 78 (2023), no. 4, Paper No. 162, 28pp.

4. The weighted Yamabe flow with boundary, with P. T. Ho and Z. Yan, Commun. Pure. Appl. Anal. 22 (2023), no. 8, 2590-2618. 

5. Yamabe solitons with boundary, with P. T. Ho, Ann. Mat. Pura Appl. (4) 202 (2023), no. 5, 2219-2253. 

6. Slowly converging Yamabe-type flow on manifolds with boundary, with P. T. Ho, Commun. Contemp. Math. (2022), accepted.

7. On the problem of prescribing weighted scalar curvature and the weightd Yamabe flow, with P. T. Ho, Anal. Geom. Metr. Spaces. 11 (2023), no. 1, Paper No. 20220152, 43 pp.

8. Smooth Yamabe invariant with boundary, with P. T. Ho, Ann. Global Anal. Geom. 62 (2022), no. 2, 413-435

9. Equivariant Yamabe problem with boundary, with P. T. Ho, Calc. Var. Partial Differential Equations. 61, 38 (2022) 

10. Evolution of the Steklov eigenvalue along the conformal mean curvature flow, with P. T. Ho, J. Geom. Phys. 173 (2022), 104436

11. A note on gradient Bach solitons, Differential Geom. Appl. 80 (2022), 101842.

12. Three-dimensional Ricci-degenerate Riemannian manifolds satisfying geometric equations, Manuscripta Math. 169 (2022), no. 3-4, 401-423.

13. Chern-Yamabe problem and Chern-Yamabe soliton, with P. T. Ho, Internat. J. Math.  32 (2021), no. 3, 2150016, 22pp.

14. The second generalized Yamabe invariant and conformal mean curvature flow on manifolds with boundary, with P. T. Ho and J. Lee, J. Differential Equations 274 (2021), 251-305.

15. On the cross curvature flow, with P. T. Ho, Differential Geom. Appl. 71 (2020), 101636, 12pp.

16. Three dimensional m-quasi Einstein manifolds with degenerate Ricci tensor, with J. Kim, Math. Nachr. 292 (2019), no. 8, 1727-1750.

17. Four-dimensional static and related critical spaces with harmonic curvature, with J. Kim, Pacific J. Math. 295 (2018), no. 2, 429-462.

18. On the classfication of 4-dimensional (m,rho)-quasi-Einstein manifolds with harmonic Weyl curvature. Ann. Global Anal. Geom. 51 (2017), no. 4, 379-399.