Eran Nevo

I am currently an HC Wang Assistant Professor (postdoc) in the
Mathematics Department at Cornell University.
E-mail:eranevo[at]math.cornell.edu
TL: +1-607-255-4959

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.

Teaching Fall 2009:

  • None. I'll teach again in the spring.
  • Some older material: Fall 2008, Math 7350: Algebraic Methods in Combinatorics. Here are students notes on the face ring [pdf] and on convexity [pdf].

    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,
      to appear in Isr. J. Math. [pdf].
    • The Lefschetz property for barycentric subdivisions of shellable complexes, with: M. Kubitzke,
      to appear in Trans. Amer. Math. Soc. [pdf].
    • Lefschetz properties and basic constructions on simplicial spheres, with: E. Babson,
      to appear in J. Algebraic Combin.[pdf].
    • Remarks on missing faces and lower bounds on face numbers,
      Elec. J. Combi. 16(2)(the Björner Festschrift volume) (2009), R8.[pdf].

    Preprints

    • A characterization of simplicial polytopes with g_2 = 1, with: E. Novinsky, submitted[pdf].
    • Linear resolutions of powers of edge ideals, with: I. Peeva, submitted[pdf].
    • Regularity via topology of the lcm-lattice for $C_4$-free graphs, submitted[pdf].
    • On commensurizer growth, with: N. Avni and S. Lim, submitted[pdf].
    • On $\gamma$-vectors satisfying Kruskal-Katona inequalities, with K. Petersen, submitted[pdf].



    Last update: November 9, 2009.