Theses, papers, preprints, and manuscripts

• Hom Complexes of Set Systems (preprint, revised version 2012)
• 3-torsion in the Homology of Complexes of Graphs of Bounded Degree (preprint, revised version 2012)
• On the chromatic number of generalized stable Kneser graphs (submitted, 2012)
• The Exact Chromatic Number of the Convex Segment Disjointness Graph (preprint, 2011)
• A Refinement of Amplitude Homology and a Generalization of Discrete Morse Theory (submitted, 2011)

Discrete Morse theory and graph complexes

• My thesis page
  
  
• On the Topology of Simplicial Complexes Related to 3-connected and Hamiltonian Graphs (paper, 2003)
• Optimal Decision Trees on Simplicial Complexes (paper, 2005)
• Simplicial Complexes of Graphs and Hypergraphs with a Bounded Covering Number (paper, 2005)
• The Topology of the Space of Matrices of Barvinok Rank Two (joint work with Axel Hultman, paper)
• A Refinement of Amplitude Homology and a Generalization of Discrete Morse Theory (preprint, 2011)
• Hom Complexes of Set Systems (preprint, revised version 2012)
  
  
• Simplicial Complexes of Subgraphs of a Graph on at most Six Vertices (manuscript, 1998, updated 2005)

Complexes of matchings and bounded-degree graphs

• Five-Torsion in the Homology of the Complex on 14 Vertices (paper, 2009)
• Exact Sequences for the Homology of the Matching Complex (paper, 2008)
• On the 3-Torsion Part of the Homology of the Chessboard Complex (paper, 2010)
• More Torsion in the Homology of the Matching Complex (paper, 2010)
• 3-torsion in the Homology of Complexes of Graphs of Bounded Degree (preprint, revised version 2012)

Independence complexes of graphs

• Hard Squares with Negative Activity and Rhombus Tilings of the Plane (paper, 2006)
• Certain Homology Cycles of the Independence Complex of Grids (paper, 2010)
• Hard Squares with Negative Activity on Cylinders with Odd Circumference (paper, 2009)
  
  
• Hard Squares on Grids With Diagonal Boundary Conditions (manuscript, 2006)
• On the Topology of Independence Complexes of Triangle-Free Graphs (manuscript, 2010)
  
  

Complexes of injective words 

• Complexes of Injective Words and Their Commutation Classes (joint work with Volkmar Welker, paper)
  
  
• The Rees Product of a Boolean Algebra and a Chain (manuscript, 2003, updated 2008)
  

The coloring complex

• The Topology of the Coloring Complex (paper, 2005)
  
  
• The Topology of Intersections of Coloring Complexes (manuscript, 2003, updated 2005)

Generalized associahedra and their relatives

• Generalized Triangulations and Diagonal-Free Subsets of Stack Polyominoes (paper, 2005)
• A Spherical Initial Ideal for Pfaffians (with Volkmar Welker, paper, 2007).

Graph theory

• On the chromatic number of generalized stable Kneser graphs (submitted, 2012)
• The Exact Chromatic Number of the Convex Segment Disjointness Graph (preprint, 2011)
• Euler Trails and Trees in Directed Graphs (Licentiate Thesis, 1999)

Other stuff

• External link to American Mathematical Monthly Problem 11298 (2007) (Joint with Jim Propp)
• A JPEG image in which I outline a demonstration that the dunce hat is contractible (2004).
  

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