I work in the fields of Discrete Mathematics and Operations Research.
My research interests lie in Combinatorics & Graph theory, Discrete Optimization, Discrete Geometry, and their interface with Probability.
In particular, I am interested in both theoretical and applied aspects of (in no particular order) extremal graph theory, probabilistic combinatorics, stochastic combinatorial optimization, optimization on graphs and networks, random discrete structures such as random geometric graphs, models for discrete complex systems such as small-world network models, metaheuristics and local search landscapes in discrete optimization, stochastic models in operations research, multiobjective discrete optimization, and stochastic discrete geometry.
Here is the departmental research page at IIT.
Fall 2008 Math 332: Elementary Linear Algebra (Matrices) Math 491: Research with undergrad on 'Guarding Orthogonal Art gallery with holes'. Math 100: Lecture on 'Graph Coloring'; Project (expository report and computer implementation) on 'Theory and Algorithms for Stable Matchings' with 2 students. Math 593: Graduate Student Seminar coordinator.
Summer 2008 Math 491: Research with undergrads on 'Guarding Orthogonal Art gallery with holes' and on 'Fall coloring of Graphs'.
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