Shira Zerbib



Department of Mathematics, University of Michigan
2074 East Hall
530 Church Street
Ann Arbor, MI 48109-1043
Office: East Hall 3060
E-mail: zerbib@umich.edu

My CV and Research Statement



I am a Post-Doc T.H.Hildebrandt Assistant Professor at the University of Michigan, Ann Arbor. Currently I am also a Postdoctoral Fellow at MSRI, member of the Geometric and Topological Combinatorics Program, and a Visiting Scholar at UC Berkeley. I received my PhD at the Technion - Israel Institute of Technology in 2014. My research interests are combinatorics and discrete geometry.



Publications and Preprints

  • S. Zerbib, Improving the known bound in Vizing's conjecture. Submitted.
  • M. Chudnovsky, S. Spirkl and S. Zerbib, Piercing axis-parallel boxes. Submitted.
  • S. Zerbib, The (p,q) property in families of d-intervals and d-trees. Submitted.
  • R. Aharoni and S. Zerbib, A generalization of Tuza's conjecture. Submitted.
  • R. Aharoni, R. Holzman and S. Zerbib, Edge-covers in d-interval hypergraphs. Discrete & Computational Geometry, 58(3) (2017), 650-662.
  • R. Aharoni, T. Kaiser and S. Zerbib, Fractional covers and matchings in families of weighted d-intervals. Combinatorica 37(4) (2016) 555-572.
  • G. Nivasch, J. Pach, R. Pinchasi and S. Zerbib, The number of distinct distances from a vertex of a convex polygon. J. Comput. Geom. 4(1) (2013), 1-12.
  • S. Zerbib, On the zone complexity of a vertex. SIAM J. Discrete Math. 25(2) (2011), 719-730.

  • S. Zerbib, Problems in Combinatorial Geometry. PhD thesis, Technion, 2014.
  • S. Zerbib, On the Projective Analogue of the Brauer-Witt Theorem. M.Sc. thesis, Technion, 2007.

  • My papers on arXiv

    Work in Progress

  • (with Florian Frick) Colorful coverings of polytopes.
  • (with Shiliang Gao) The (4,3) property in families of fat sets in R^2.
  • (with Ron Aharoni and Elliot Krop) On Vizing's conjecture.
  • (with Kathryn Nyman and Francis Su) Multiple fair division.
  • (with Francis Su) Piercing numbers in social choice theory - a survey.




  • Teaching

    Winter 2017:  Math 567 - Introduction to Coding Theory (University of Michigan).
    Fall 2016:    Math 465 - Introduction to Combinatorics (University of Michigan).
    Winter 2016:  Math 567 - Introduction to Coding Theory (University of Michigan).
    Fall 2015:    Math 115 - Calculus I (University of Michigan).
    2009-2014:     Teaching Assistant - Linear Algebra, Abstract Algebra, Field Theory, Calculus II (Technion).



    My sculptures