Goal: Use of large-scale computation to study questions in the Schubert calculus, with a focus on generalizations of the Shapiro conjecture concerning reality in the Schubert calculus.

Method: Development and implementation of software on a networks of computers. We organize such software in a way that facilitates similar experiments in the future.

Projects: Lower bounds and gaps for real solutions in Schubert calculus, Monotone Secant Conjecture for type-A flag manifolds, Secant Conjecture for Grassmannians, Monotone Conjecture for type-A flag manifolds, Shapiro Conjecture for Grassmannians.