Publications

  • The Topology of Four-Dimensional Real Algebraic Sets (dissertation).

  • The Topological Dimension of Limits of Graph Substitutions,
    with Mary Vanderschoot, Forum Mathematicum , Vol. 15 (2003), p. 477-487.

  • Limits of Vertex Replacement Rules,
    with Joe Previte and Mary Vanderschoot, Rocky Mountain Journal of Mathematics, Vol. 37, Number 3 (2007), p. 1001-1026.

  • The Dimensions of Limits of Vertex Replacement Rules,
    Illinois Journal of Mathematics, Vol. 51 (2007), p. 513-536.

  • The Topological Dimension of Limits of Vertex Replacement Rules,
    with student author Shun-Hsiang Yang, Topology and Its Applications, Vol. 153 (2006), p. 2013-2025.

  • A Novel Way to Generate Fractals,
    with student author Shun-Hsiang Yang, The American Mathematical Monthly, Vol. 115 (2008), p. 13-32.

  • Idiopathic Intracranial Hypertension and Transverse Sinus Stenosis: A Modeling Study,
    with Stevens, Lakin, Thakore, Penar, and Hamschin, Mathematical Medicine and Biology, Vol. 24, Number 1 (2007), p. 85-109.