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Edward Swartz

Professor

Malott Hall, Room 592
ebs22@cornell.edu
607-255-1443

Educational Background

  • B.A. (Mathematics), University of Rochester, Rochester, NY, 1981.
  • M.S. (Mathematics), Yale University, New Haven, CT, 1989.
  • Ph.D. (Mathematics), University of Maryland, College Park, MD, 1999.

Website(s)

Departments/Programs

  • Mathematics

Graduate Fields

  • Mathematics

Research

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.

Courses

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.

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