Preface; 1. Matroid bundles Laura Anderson; 2. Combinatorial representation theory Helene Barcelo and Arun Ram; 3. An algorithmic theory of lattice points in polyhedra Alexander Barvinok and James Pommersheim; 4. Some algebraic properties of the Schechtman–Varchenko bilinear forms Graham Denham and Phil Hanlon; 5. Combinatorial differential topology and geometry Robin Forman; 6. Macdonald polynomials and geometry Mark Haiman; 7. Enumeration of matchings: problems and progress James Propp; 8. The generalized Baues problem Victor Reiner; 9. Littlewood–Richardson semigroups Andrei Zelevinsky.

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This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.

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