Eran Nevo

I am a Senior Lecturer in the
Mathematics Department at Ben-Gurion University of the Negev.
E-mail: nevoe[at]math.bgu.ac.il
TL: +972-8-6461606

I have done my Master and PhD studies in the Mathematics Department at the Hebrew University .
My advisor was prof. Gil Kalai.
The PhD thesis, on 'Algebraic shifting and f-vector theory', can be found here.
Before joining BGU, I was an HC Wang Assistant Professor (postdoc) in the Mathematics Department at Cornell University.

Current Teaching: Spring 2012:

  • [Combinatorics]

    Research

    Interests

    • Combinatorics - with connections to commutative algebra, topology, geometry and convexity.

    Papers published or accepted

    • Lenses in arrangements of pseudocircles and their applications, (with P. Agarwal, J. Pach, R. Pinchasi, M. Sharir and S. Smorodinsky),
      J. ACM, 51 (2004), 139-186. [ps] (Also in Proc. 18th ACM Symp. on Computational Geometry (2002), 123-132.)
    • Algebraic shifting and basic constructions on simplicial complexes,
      J. Algeb. Combin., 22 (2005), 411-433. [pdf]
    • A Generalized Macaulay theorem and generalized face rings,
      J. Combin. Theory Ser. A, 113 (2006), 1321-1331. [pdf]
    • Rigidity and the lower bound theorem for doubly Cohen-Macaulay complexes,
      Discrete Comput. Geom., 39 (2008), 411-418. [pdf]
    • Higher minors and Van Kampen's obstruction,
      Math. Scandi., 101 (2007), 161-176. [pdf]
    • Embeddability and stresses of graphs,
      Combinatorica, 27 (2007), 465-472. Old (full) version: [ps]. Journal version (with the section on algebraic shifting omitted): [pdf]
    • On the independence complex of square grids, with: M. Bousquet-Melou and S. Linusson,
      J. Algebraic Combin. 27 (2008), 423-450. [pdf]
    • On the embeddability of skeleta of spheres, with: U. Wagner,
      Isr. J. Math.174 (2009), 381-402. [pdf]
    • The Lefschetz property for barycentric subdivisions of shellable complexes, with: M. Kubitzke,
      Trans. Amer. Math. Soc. 361 (2009), 6151-6163. [pdf].
    • Lefschetz properties and basic constructions on simplicial spheres, with: E. Babson,
      J. Algebraic Combin. 31 (2010), 111-129.[pdf]
    • Remarks on missing faces and lower bounds on face numbers,
      Elec. J. Combi. 16(2)(the Björner Festschrift volume) (2009), R8.[pdf]
    • A characterization of simplicial polytopes with g_2 = 1, with: E. Novinsky,
      J. Combin. Theory Ser. A 118 (2011), 387-395.[pdf]
    • On $\gamma$-vectors satisfying the Kruskal-Katona inequalities, with T. K. Petersen,
      Discrete Comput. Geom.45 (2010), 503-521.[pdf]
    • Regularity of edge ideals of C_4-free graphs via the topology of the lcm-lattice,
      J. Combin. Theory Ser. A 118 (2011), 491-501[pdf].
    • The $\gamma$-vector of a barycentric subdivision, with: T. K. Petersen and B. E. Tenner,
      J. Combin. Theory Ser. A 118 (2011), 1364-1380.[pdf]
    • On commensurizer growth, with: N. Avni and S. Lim, to appear in
      Isr. J. Math.[pdf].
    • On the cd-index and gamma-vector of S*-shellable CW-spheres, with: S. Murai, to appear in
      Math. Z.[pdf].
    • Linear resolutions of powers of edge ideals, with: I. Peeva, to appear in
      J. Algebraic Combin.[pdf].

    Preprints

    • The flag f-vectors of Gorenstein* order complexes of dimension 3, with: S. Murai, submitted[pdf].
    • Nonpolytopal nonsimplicial lattice spheres with nonnegative toric g-vector, with: L. J. Billera [pdf].
    • On the generalized lower bound conjecture for polytopes and spheres, with: S. Murai, submitted [pdf].



    Last update: April 24, 2012.