Papers
Papers
Minimal hypersurfaces on spheres with large Betti numbers and cohomogeneity two equivariant min-max theory, In preparation.
Scalar curvature comparison and rigidity of 3-dimensional weakly convex domains (Joint with X. Yao), Arxiv: 2410.20548.
Existence and Morse Index of two free boundary embedded geodesics on Riemannian 2-disks with convex boundary, Arxiv: 2309.09896.
Min-max construction of two capillary embedded geodesics on Riemannian 2-disks, preprint, Arxiv: 2308.14180.
On the Morse Index bound of simple closed geodesics on 2-sphere, Journal für die reine und angewandte Mathematik (Crelle’s Journal), 2024 (817), 33-66.
Path Intersection Matrices and Applications to Networks (with W. Kook, K. Lee, J. Lee and J. Lee), Linear algebra and its Applications 524 (2017), 278-292. (Undergraduate Research)
On The Stability of an AQCQ-Functional Equation (with C.Park and S.Cho), Journal of the Chungcheong Mathematical Society 22 (2009), 757-770. (High School Research & Education Program)
TBA, Differential Geometry Seminar, National Center for Theoretical Sciences (NCTS) (Virtual), Taiwan, Oct 2025
TBA, Geometric Analysis Seminar, Massachusetts Institute of Technology, US, Sep 2025
Scalar curvature comparison and rigidity of 3-dimensional weakly convex domains, Geometric Analysis Seminar, Columbia University, US, Sep 2025
Embedded geodesics and Morse Index of geodesics on genus 0 surfaces, and recent developments on p-widths of surfaces, geometry, topology and differential geometry seminar, Seoul National University, KR, Jul 2025
Equivariant Simon-Smith min-max theory and minimal hypersurfaces with arbitrarily large Betti number on high dimensional spheres, Topics in Differential Geometry Workshop, Brown University, US, Jun 2025
Equivariant Simon-Smith min-max theory and minimal hypersurfaces with arbitrarily large Betti number on high dimensional spheres, Lehigh University Geometry Seminar, US, Mar 2025
Scalar curvature comparison and rigidity of 3-dimensional weakly convex domains, Johns Hopkins University Geometric Analysis Seminar, US, Feb 2025
Scalar curvature comparison and rigidity of 3-dimensional weakly convex domains and Minimal hypersurfaces with arbitrarily large Betti number on high dimensional spheres (two lectures), KIAS winter school in Geometry, KR, Jan 2025
Equivariant Simon-Smith min-max theory and minimal hypersurfaces with arbitrarily large Betti number on high dimensional spheres, University of Copenhhagen Geometry Seminar (Virtual), Denmark, Jan 2025
Scalar curvature comparison and rigidity of 3-dimensional weakly convex domains, Stony Brook University, US, Nov 2024
Capillary and Free boundary embedded geodesics on Riemannian 2-disks, Texas Tech University (Virtual), US, Sep 2024
Capillary and Free boundary embedded geodesics on Riemannian 2-disks, University of Tennessee - Knoxville, US, Sep 2024
Lecture Series on min-max theory, Pusan National University, KR, Dec 2023
Capillary and Free boundary embedded geodesics on Riemannian 2-disks, University of Chicago, US, Dec 2023
Capillary and Free boundary embedded geodesics on Riemannian 2-disks, Massachusetts Institute of Technology, US, Nov 2023
Capillary and Free boundary embedded geodesics on Riemannian 2-disks, The CUNY Graduate Center, US, Oct 2023
Capillary and Free boundary embedded geodesics on Riemannian 2-disks, Rutgers University, US, Oct 2023
Morse theory of simple closed geodesics on 2-spheres, Sungkyunkwan University, KR, Aug 2022.
Morse theory of simple closed geodesics on 2-spheres, KIAS Workshop on Mathematical Physics and Probability: Theory and Application, KR, Aug 2022.
Min-max theory and Morse Index of simple closed geodesics on 2-spheres, National Workshop for young mathematicians in Korea (online talk), KR, Jan 2022.