Pavlo Pylyavskyy

Subjects

Combinatorial analysis, Mathematicians, Algebraic aspects of posets, Algebraic combinatorics, Arithmetic rings and other special rings, Arrangements of points, flats, hyperplanes, Biography, Combinatorial properties (number of faces, shortest paths, etc.), Combinatorics, Combinatorics of partially ordered sets, Commutative algebra, Convex and discrete geometry, Designs and configurations, Discrete geometry, Enumerative combinatorics, Exact enumeration problems, generating functions, Lattice polytopes (including relations with commutative algebra and algebraic geometry), Mathematicians, biography, Matroids, geometric lattices, Order, lattices, ordered algebraic structures, Ordered sets, Polytopes and polyhedra, Shellability, Stanley-Reisner face rings; simplicial complexes