Carlos M. Nicolás

e-mail : cnicolas@ms.uky.edu
office: POT 718
office phone : (859) 257-6806
fax : (859) 257-4078
mail :
Department of Mathematics
Patterson Office Tower, room 745
University of Kentucky
Lexington, KY 40506-0027
USA

I am a Ph.D. candidate in mathematics at the University of Kentucky working under the direction of Dr. Carl W. Lee.
My research interests include combinatorial geometry, enumerative combinatorics and polytope theory.

Teaching:

Spring 2008: MA 109, College Algebra. Here is the course webpage.
Fall 2007: (TA) MA 110, Pre-calculus.
Sring 2007: (Instructor) MA 162, Discrete Mathematics for Business.
Fall 2006: (Instructor) MA 112, Trigononetry.
Spring 2006: (TA) MA 162, Discrete Mathematics for Business.
Fall 2005: (TA) MA 213, Calculus III.
Spring 2005: (TA) MA 114, Calculus II.
Fall 2004: (TA) MA 213, Calculus III.

Publications and Manuscripts:

1) C. M. Nicolás, The empty hexagon theorem, Discrete and Computational Geometry 38 (2007), 389-397.
2) M. Abellanas, P. Bose, J. García-López, F. Hurtado, C. M. Nicolás and P. Ramos, Higher-order Delaunay triangulations, to appear in the Inter. J. of Computational Geom. and Applications.
3) J. García-López and C. M. Nicolás, Planar Point Sets with Large Minimum Convex Partitions, in the proceedings of the 22nd European Workshop on Computational Geometry.
4) C. M. Nicolás, Upper bounds for the minimum convex subdivision of points in the plane, in preparation.
5) C. M. Nicolás, A stronger bijection between pairs of non-crossing Dyck paths and 2-triangulations, in preparation.