## Eran NevoInstitute of Mathematics, Hebrew University, Givat Ram, Jerusalem 91904, Israel. E-mail: nevo[at]math.huji.ac.il TL: +972-2-6586871 ## Current Teaching: Spring 2017:Combinatorics## Research## Interests- Combinatorics - with connections to commutative algebra, topology, geometry and convexity.
## Projects- Face numbers and flag-face numbers of simplicial complexes (for example: spheres triangulations) and polytopes (for example: cubical polytopes).
Tools include for example: the Stanley-riesner ring, toric varieties, framework rigidity. - Betti tables of monomial ideals (for example: edge ideals) and related invariants (for example: regularity).
Topological tools are also available here via Hochster's formula. - Embeddability of simplicial complexes in manifolds.
Tools include for example: the van-Kampen obstruction and higher minor notions.
## 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 Bjφrner 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,
*Isr. J. Math.*,**188**(2012), 259279.[pdf]. - On the cd-index and gamma-vector of S*-shellable CW-spheres, with: S. Murai,
*Math. Z.***271**(2012), 1309-1319.[pdf]. - Linear resolutions of powers of edge ideals, with: I. Peeva,
*J. Algebraic Combin.***37**(2013), 243248[pdf]. - Nonpolytopal nonsimplicial lattice spheres with nonnegative toric g-vector, with: L. J. Billera,
*Discrete Comput. Geom.***48**(2012), 1048-1057.[pdf]. - The flag f-vectors of Gorenstein* order complexes of dimension 3, with: S. Murai,
*Proc. Amer. Math. Soc.***142**(2014), 15271538.[pdf]. - On the generalized lower bound conjecture for polytopes and spheres, with: S. Murai,
*Acta Math.***210**(2013), 185202[pdf]. - On r-stacked triangulated manifolds, with: S. Murai,
*J. Algebraic Combin.***39**(2014), 373388.[pdf]. - Stellar theory for flag complexes, with: F. Lutz,
*Math. Scand.***118**(2016), 7082.[pdf]. - Bipartite rigidity, with: G. Kalai and I. Novik,
*Trans. Amer. Math. Soc.***368**(2016), 55155545.[pdf]. - Polyhedrons and PBIBDs from hyperbolic manifolds,
*Geom. Ded.***178**(2015), 103110.[pdf]. - Bipartite minors, with: M. Chudnovsky, G. Kalai, I. Novik and P. Seymour,
*J. Combin. Theory Ser. B***116**(2016), 219228[pdf]. - Generalized Tchebyshev triangulations, with G. Hetyei,
*J. Algebraic Combin.***137**(2016), 88125[pdf]. - Many triangulated odd-dimensional spheres, with F. Santos and S. Wilson,
*Math. Annalen***364**(2016), 737-762[pdf]. - Higher chordality: from graphs to complexes, with K. A. Adiprasito, and J. A. Samper,
*Proc. Amer. Math. Soc.***144**(2016), 3317-3329[pdf]. - On the maximum order of graphs embedded in surfaces, with: G. Pineda-Villavicencio, D. R. Wood,
*J. Combin. Theory Ser. B***119**(2016), 28-41[pdf]. - A Geometric Lower Bound Theorem, with K. A. Adiprasito and J. A. Samper,
*Geom. Funct. Anal.***26**(2016), 359378[pdf]. - On vanishing patterns in j-strands of edge ideals, with A. Abedelfatah, to appear in J. Algebraic Combin. [pdf].
## Preprints- Almost simplicial polytopes: The lower and upper bound theorems, with G. Pineda-Villavicencio, J. Ugon and D. Yost, submitted [pdf].
- On Betti numbers of flag complexes with forbidden induced subgraphs, with K. A. Adiprasito and M. Tancer, submitted [pdf].
- Lefschetz properties of balanced 3-polytopes, with David Cook II, Martina Juhnke-Kubitzke and Satoshi Murai, submitted [pdf].
- Bounds for entries of gamma-vectors of flag simplicial spheres, with Jean-Philippe Labbe, submitted [pdf].
- Pach's selection theorem does not admit a topological extension, with Imre Barany, Roy Meshulam and Martin Tancer, submitted [pdf].
- On the reconstruction of polytopes, with Guillermo Pineda-Villavicencio, Julien Ugon and David Yost, arXived [pdf].
Last update: 28. 02. 2017. |