Research
My research interest is discrete and combinatorial geometry.
Recent work:
- The Colored Hadwiger Transversal Theorem in Rd.
With Edgardo Roldán-Pensado.
Combinatorica 36 (2016).417--429. - Cutting convex curves.
With János Kincses and Edgardo Roldán-Pensado.
European J. Combin. 58 (2016).34--37. - Orthogonal colorings of the sphere.
With Seunghun Lee.
Mathematika 62 (2016), 492 - 501. -
Regular systems of paths and families of convex sets in convex position.
With Michael Dobbins and Alfredo Hubard.
Trans. Amer. Math. Soc. 368 (2016), 3271 - 3303. -
The intersection of a matroid and an oriented matroid.
Adv. Math. 290 (2016), 1 - 14 - A geometric Hall-type theorem.
With Leonardo Martinez-Sandoval and Luis Montejano.
Proc. Amer. Math. Soc. 144 (2016), 503 - 511. -
Topology of geometric joins.
With Imre Bárány and Roman Karasev.
Discrete Comput. Geom. 53 (2015), 402 - 413. - The
Erdős-Szekeres problem for non-crossing convex sets.
With Michael Dobbins and Alfredo Hubard.
Mathematika 60 (2014), 463 - 484.
Students: Minki Kim, Seunghun Lee, Minho Choo, Kangmin Yoo