Sturmfels, Bernd, (1962-)

Grobner bases. Hermitian symmetric spaces. Toric varieties. Commutative algebra -- Computational aspects and applications -- Gr{uml}obner 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). Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra. Geometry, Algebraic- Data processing Differential equations- Asymptotic theory. Hypergeometric functions. Combinatorial geometry Koszul algebras. Tropical geometry- Study and teaching (Graduate) Field theory and polynomials -- Topological fields -- Non-Archimedean valued fields. Combinatorial analysis Geometry, Algebraic- Study and teaching (Graduate) Combinatorics -- Designs and configurations -- Matroids, geometric lattices. Combinatorial analysis. Geometry, Algebraic Algebraic geometry -- Tropical geometry -- Tropical geometry. Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Max-plus and related algebras. Convex polytopes. Combinatorial geometry.