Isabella Novik

Associate Professor Department of Mathematics University of Washington Box 354350, Seattle, WA 98195 Office: C-416 Padelford E-mail: novik@math.washington.edu Phone: (206) 616 9373 Short Curriculum Vitae

Current Courses Winter Quarter 2010: Math 462 (Combinatorial Theory)

Research

Interests

• Algebraic and geometric combinatorics, especially combinatorics of polytopes and manifolds
• Connections between combinatorics, commutative algebra and algebraic topology

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), Canadian Journal of Mathematics 61 (2009), no.4, pp. 888-903. [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), Advances in Mathematics 222 (2009), pp. 2059-2084. [PDF]
17. Applications of Klee's Dehn-Sommerville relations (with Ed Swartz), Discrete and Computational Geometry, 42, Issue 2 (2009), 261-276. [PDF]
18. Gorenstein rings through face rings of manifolds (with Ed Swartz), Compositio Mathematica, 145, Issue 4 (2009), 993-1000. [PDF]
19. Balanced complexes and complexes without large missing faces (with Michael Goff and Steven Klee), Arkiv fur Matematik, to appear. [PDF]
20. Face numbers of generalized balanced Cohen-Macaulay complexes (with Jonathan Browder), submitted [PDF]
21. Face rings of complexes with singularities (with Ezra Miller and Ed Swartz) [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