Edward Swartz

Professor of Mathematics

592 Malott Hall

(607) 255-1443

Ph.D. (1999) University of Maryland at College Park

Research Area

Combinatorics, topology, geometry, and commutative algebra

My research centers on the interplay between combinatorics, geometry/topology and algebra with a special emphasis on matroids and combinatorial properties  of simplicial complexes.

Selected Publications

Projection volumes of hyperplane arrangements (with C. Klivans), Discrete and Computational Geometry, 46 (2011), 417-426.

Socles of Buchsbaum modules (with I. Novik), complexes and posets  Adv. in Math., 222 (2009), 2059-2084.

Face enumeration: from spheres to manifolds, J. Europ. Math. Soc., 11 (2009), 449-485.

Topological representations of matroids, J. Amer. Math. Soc., 16(2003), 427-442.

Matroids and quotients of spheres, Math. Zeit., 241 (2002), 247-269.