معرفی
Edward Swartz is a Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. He holds a B.A. in Mathematics from the University of Rochester (1981), an M.S. from Yale University (1989), and a Ph.D. from the University of Maryland (1999). His research focuses on combinatorics, topology, commutative algebra, and geometry, with a specialization in matroids and simplicial complexes. Recent work includes studies on pseudomanifolds, normal surfaces, and g-vectors in manifold boundaries. He teaches advanced courses like Math 7410 on combinatorial topics such as polymatroids.
Research interests span the interplay between combinatorial structures and topological/algebraic properties, including matroid representations, face enumeration, and singularities in geometric complexes. Key contributions include topological finiteness theorems and enumeration of 3-dimensional pseudomanifolds. His courses emphasize supervised research and advanced topics in combinatorics.
Awards and recognitions include being honored for teaching and advising by Cornell. His work often bridges discrete mathematics with continuous geometry, leveraging algebraic methods to resolve topological questions. Ongoing research explores minimal simplicial decompositions of lens spaces and g-theorems for manifolds with boundary.
