My research topics are mainly concentrated on several volume inequalities raising from Convex Geometry, Geometric Tomography, and Geometric Functional Analysis. Convex Geometry is a branch of geometry studying convex sets, mostly in the Euclidean spaces. It is sometimes called Geometric Functional Analysis whenever it concerns geometric aspect of finite-dimensional Banach spaces. Geometric Tomography focuses on problems of reconstructing a convex (or star-shaped) object from its tomographic data like sections, projections, x-rays, widths. My current research includes volume inequalities involving sections, projections, volume product, duality, and intersection bodies.
EDUCATION
2013 : Ph.D. Mathematics Sciences, Kent State University
2008 : M.S. Mathematics Sciences, POSTECH
2005 : B.S. Mathematics Sciences, POSTECH
WORK EXPERIENCE
2017~present : Assistant Professor, GIST College
2013~2017 : Postdoctoral Fellow, University of Alberta
REPRESENTATIVE_PUBLICATIONS
Distribution functions of sections and projections of convex bodies, Journal of the London Mathematical Society 95(1), 2017, Pages 52-72
On the local convexity of intersection bodies of revolution, Canadian Journal of Mathematics, 67(1), 2015, Pages 3-27
Minimal volume product near Hanner polytopes, Journal of Functional Analysis 266(4), 2014, Pages 2360-2402
The geometry of p-convex intersection bodies, Advances in Mathematics, 226(6), 2011, Pages 5320-5337
Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices, Journal of Functional Analysis, 257(4), 2009, Pages 931-947
