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Computational Variants of the General Lax Conjecture

Hyperbolicity cones are convex semialgebraic sets generalizing both polyhedral and spectrahedral cones, the latter forming the basic geometric sets from linear and semidefinite programming. Hyperbolic polynomials, which give rise to these …

Towards a theory of non-commutative optimization: geodesic 1st and 2nd order methods for moment maps and polytopes

Polynomial Identity Testing via Optimization: algorithms for the null-cone problem and orbit closure intersection

Barriers for rank methods in arithmetic complexity

Factors of polynomials of low individual degree

Factors of polynomials of low individual degree