Combinatorial geometry investigates the arrangement and interaction of discrete geometric objects, such as points, lines and higher-dimensional shapes, and quantifies their combinatorial properties.

Combinatorial algebraic geometry sits at the intersection of discrete mathematics and algebraic geometry, exploring the deep interplay between algebraic structures and combinatorial methodologies.

(PhysOrg.com) -- A mathematician in the Indiana University College of Arts and Sciences is being credited with resolving a 65-year-old problem in combinatorial geometry that sought to determine the ...