I am interested in applied math and combinatorics.

Previously, I worked on generating functions and some of their combinatorial interpretations.

Currently, I'm working within the field of optimization on a series of problems related to the conjugate-gradient method.

Center for Computational Mathematics, 05/20/08:
Subspace Minimization Methods for Unconstrained Optimization

Food For Thought, 10/09/08:
Minimization: One Dimension at a Time

Center for Computational Mathematics, 02/24/09:
A Subspace Minimization Method for Constrained Optimization

Advancement to Candidacy, 02/26/09:
A Reduced-Hessian Algorithm for Simple Bounds

Center for Computational Mathematics, 11/10/09:
Line Search Algorithms for Projected-Gradient Quasi-Newton Methods

Food For Thought, 01/28/10:
Thinking Inside the Box: Line Search Algorithms for Constrained Optimization