Hello! I am a postdoctoral researcher (SSEN fellowship) at Research Institute of Mathematics, Seoul National University. Previously I worked at CUHK under the mentorship of Prof. Juncheng Wei, and at the Korea Institute for Advanced Study with Prof. Kyeongsu Choi. I completed my Ph.D. in mathematics at Princeton University under the supervision of Prof. Alice Chang.
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Email: lsh514 [at] snu [dot] ac [dot] kr
Research Interest: geometric analysis, conformal geometry, geometric flows, and calculus of variations
Publications and Preprints
Global convergence of the Gursky-Malchiodi $Q$-curvature flow (with Liuwei Gong and Juncheng Wei), arXiv:2602.04267
Nodal set comparison for Allen--Cahn solutions with conical asymptotics (with Taehun Lee), arXiv:2601.05015
Rigidity of the gradient estimate for Einstein manifolds (with Jiewon Park), arXiv:2512.07278
Rigidity of Poincar\'{e}-Einstein manifolds with flat Euclidean conformal infinity (with Fang Wang), arXiv:2503.06062
Type-I Blowup Solutions for Yang-Mills Flow (with Jaehwan Kim), arXiv:2411.19293
Convergence rate of the Q-curvature flow (with Pak Tung Ho), Journal of Differential Equations 453, 113917 (2026) link
Liouville-type theorems on the hyperbolic space, Calculus of Variations and Partial Differential Equations 64, 217 (2025) link
8. Some uniformization problems for a fourth order conformal curvature, Journal of Functional Analysis 288, no. 5 (2025): 110791 link
9. Improved energy decay estimate for Dir-stationary Q-valued functions and its applications, Journal of Functional Analysis 287, No. 9 (2024): 110597 link
10. Generalized competition indices of symmetric primitive digraphs (with Hwa Kyung Kim), Discrete Appl. Math. 2012, 160, 1583-1590.
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