Professor De Loera's research includes fundamental results on topics including the complexity of interior-point methods for linear programming, the Hirsch conjecture for network flow polytopes, use of Gröbner and Graver bases for discrete optimization and the theory and application of triangulations. His research is noted for the successful computational implementation of methods based on complex mathematical theory, including the enumeration of lattice points in polyhedra and the application of Hilbert's Nullstellensatz to combinatorial optimization. Professor De Loera is also well known as an outstanding expositor and mentor whose infectious enthusiasm draws other researchers to work in areas where they might otherwise not dare to venture.