Research

My research interest is discrete and combinatorial geometry. Recently I have been working with Michael Dobbins and Alfredo Hubard on generalizing the notion of order-types and realization spaces of point configurations to arrangements of convex bodies.

Recent work:

• The Colored Hadwiger Transversal Theorem in R^d, with Edgardo Roldán-Pensado. Submitted 2013.
• A combinatorial version of the colorful Carathéodory theorem. Submitted 2013.
• The Erdős-Szekeres problem for non-crossing convex sets, with Michael Dobbins and Alfredo Hubard.
  To appear in Mathematika.
• Convexly independent subfamilies of convex bodies, with Michael Dobbins and Alfredo Hubard. Submitted 2013.

Current students:
Park, Jinkang
Kim, Minki
Lee, Dongmin