Isabella Novik

Associate Professor

Department of Mathematics
University of Washington
Box 354350, Seattle, WA 98195

Short Curriculum Vitae

Research

Interests

Publications

  1. Upper Bound Theorems for homology manifolds, Israel Journal of Mathematics, 108 (1998), 45-82.
  2. The Lower Bound Theorem for centrally symmetric simple polytopes, Mathematika, 46 (1999), 231-240.
  3. A note on geometric embeddings of simplicial complexes in a Euclidean space, Discrete and Computational Geometry, 23 (2000), 293-302.
  4. Lower bounds for the cd-index of odd-dimensional simplicial manifolds, European Journal of Combinatorics 21 (2000), 533-541.
  5. Syzygies of oriented matroids (with Alex Postnikov and Bernd Sturmfels), Duke Mathematical Journal, 111 (2002), 287-317.
  6. Lyubeznik's resolution and rooted complexes, Journal of Algebraic Combinatorics, 16 (2002), 97-101.
  7. A short simplicial h-vector and the Upper Bound Theorem (with Patricia Hersh) , Discrete and Computational Geometry, 28 (2002), 283-289.
  8. Remarks on the Upper Bound Theorem [PS], Journal of Combinatorial Theory Ser. A, 104 (2003), 201-206.
  9. Symmetric iterated Betti numbers [PS], (with Eric Babson and Rekha Thomas), Journal of Combinatorial Theory Ser. A, 105 (2004), 233--254.
  10. Face numbers and nongeneric initial ideals (with Eric Babson), Electronic J. Combin., 11 (2004/06), no.2, Research Paper 25, 23pp. [PDF]
  11. On face numbers of manifolds with symmetry [PS], Advances in Math., 192 (2005), 183-208.
  12. Reverse Lexicographic and lexicographic shifting, (with Eric Babson and Rekha Thomas), Journal of Algebraic Combinatorics, 23 (2006), 107-123. [PDF]
  13. How neighborly can a centrally symmetric polytope be? (with Nati Linial), Discrete and Computational Geometry 36 (2006), no. 2, 273--281. [PDF]
  14. Face ring multiplicity via CM-connectivity sequences (with Ed Swartz), to appear in Canadian Journal of Mathematics. [PDF]
  15. A centrally symmetric version of the cyclic polytope (with Alexander Barvinok), Discrete and Computational Geometry, 39 (2008), 76-99. [PDF]
  16. Socles of Buchsbaum modules, complexes and posets (with Ed Swartz), submitted. [PDF]
  17. Applications of Klee's Dehn-Sommerville relations (with Ed Swartz), preprint. [PDF]
  18. Gorenstein rings through face rings of manifolds (with Ed Swartz), preprint. [PDF]

I am one of four Editors-in-Chief of Journal of Algebraic Combinatorics

I am also co-organizing the Combinatorics and Geometry Seminar at the University of Washington together with Sara Billey

Slides

Lectures from Jerusalem Spring School, May 2007: 1, 2.

Teaching