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Hilbert’s 10th problem over number fields

Science Center 507 1 Oxford Street, Cambridge

We show that for every quadratic extension of number fields K/F, there exists an abelian variety A/F of positive rank whose rank does not grow upon base change to K. […]

Positivity of Schubert Coefficients

Science Center 232

Schubert coefficients are nonnegative integers that arise in Algebraic Geometry and play a central role in Algebraic Combinatorics. It is a major open problem whether they have a combinatorial interpretation, […]

Ricci Curvature of Directed Graphs

Science Center 507 1 Oxford Street, Cambridge

This talk will explore the notion of curvature on undirected and directed graphs using concepts from discrete differential geometry and introduce the exciting applications of graph curvature in geometric machine […]