Diane Maclagan

Subjects

Algebraic Geometry, Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra, Algebraic geometry -- Tropical geometry -- Tropical geometry, Combinatorics -- Designs and configurations -- Matroids, geometric lattices, Commutative algebra -- Computational aspects and applications -- Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Convex and discrete geometry -- Polytopes and polyhedra -- Lattice polytopes (including relations with commutative algebra and algebraic geometry), Field theory and polynomials -- Topological fields -- Non-Archimedean valued fields, Geometry, algebraic, Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Max-plus and related algebras, Study and teaching (Graduate), Tropical geometry