My research interests are in the areas of combinatorics, combinatorial geometry, number theory, and graph theory. In my
dissertation, I have worked on a long standing problem in combinatorial geometry related to coloring of metric
spaces and its variations, using methods from discrete geometry and probabilistic combinatorics. I also have
various results on a central conjecture in L(2,1)-labeling of graphs, a generalization of ordinary graph
coloring, motivated by the channel assignment problem. I am also interested in and working on other problems from
combinatorial geometry, extremal graph theory, and combinatorial number theory.
Here is a copy of my research statement.