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EducationPh.D. (2007) The Hebrew University Research Area: combinatorics with connections to commutative algebra, topology, geometry, and convexityMore specifically, my recent work applies to the following subjects: f-vector theory (in particular the g-conjecture), face rings, algebraic shifting, rigidity of graphs, polytopes, obstructions to embeddability, discrete Morse theory, and edge ideals. Selected PublicationsAlgebraic shifting and basic constructions on simplicial complexes, J. Algeb. Combin. 22 (2005), 411–433. A generalized Macaulay theorem and generalized face rings, J. Combin. Th. Ser. A. 113 (2006), 1321–1331. Higher minors and Van Kampen's obstruction, Math. Scandi. 101 (2007), 161–176. Rigidity and the lower bound theorem for doubly Cohen-Macaulay complexes, Discrete & Comput. Geom. 39 (2008), 411–418. The Lefschetz property for barycentric subdivisions of shellable complexes (with M. Kubitzke), Trans. Amer. Math. Soc. (to appear). Lefschetz properties and basic constructions on simplicial spheres (with E. Babson), J. Algebraic Combin. (to appear). Last modified: November 16, 2009 |