About Me

I am an assistant professor in the Department of Mathematcis at the Sungkyunkwan University (SKKU)  since December 2023.

Previously, I was a Postdoc researcher in Dr. Jurgen Jost's group at Max Planck Institute for Mathematics in the Sciences. Before that, I was a Ph.D student in the Department of Mathematics at the Ohio State University, and Professor Facundo Mémoli was my advisor.

My general research interests are (1) developing discrete or generalized counterparts of notions of classical (Riemannian) geometry to build a bridge between the discrete and the continuous worlds, (2) large-scale geometry via various Gromov-Hausdorff type distances, and (3) their applications to topology.

Naturally, my research sits at the crossroads of diverse mathematical fields which include Metric/Differential/Spectral Geometry, Quantitative/Geometric Topology, Optimal Transport, and Topological/Geometric Data Analysis. I primarily exploit and study the interplay between the following concepts: filling radius, injective (hyperconvex) metric space, Gromov-Hausdorff (or, Gromov-Wasserstein) distance, quantitative BorsukUlam theorem, generalized notions of curvature, Markov chain, Vietoris-Rips complexes, and multidimensional scaling.

Here is my CV (updated December 2023).

Contact: lsh3109@skku.edu