Research

Papers and Preprints

  1. Factoring the Characteristic Polynomial of a Lattice (with Bruce Sagan)
    J. Combin. Theory Ser. A, 136 (2015), 39-63. arXiv version

  2. Combinatorial Hopf Algebras of Simplicial Complexes (with Carolina Benedetti and John Machacek)
    SIAM J. Discrete Math. 30 (2016), no. 3, 1737-1757. arXiv version

  3. Applications of Quotient Posets
    Discrete Math. 340 (2017), no. 4, 800-810. arXiv version

  4. Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions (with Ed Allen and Sarah Mason)
    J. Combin. Theory Ser. A 157 (2018), 70-108. arXiv version

  5. Increasing Spanning Forests in Graphs and Simplicial Complexes (with Jeremy Martin and Bruce Sagan)
    European J. Combin. 76 (2019) 178-198. arXiv version

  6. The Whitney Duals of a Graded Poset (with Rafael S. González D'león)
    submitted arXiv version

  7. The Noncrossing Bond Poset of a Graph (with C. Matthew Farmer)
    Extended Abstract to appear in the Proceedings of Formal Power Series and Algebraic Combinatorics 2019 (FPSAC 2019)

Dissertation

  • Quotient Posets and the Characteristic Polynomial Michigan State University, May 2015
  • Recent/Upcoming Talks

  • Whitney Duals of Partially Ordered Sets, UCSD Combinatorics Seminar, October 2018
  • Whitney Duals of Partially Ordered Sets, USC Combinatorics Seminar, February 2019
  • The Noncrossing Bond Poset of a Graph, UNCG Algebra, Combinatorics, Topology, Geometry, and Number Theory Seminar, March 2019
  • Dual Immaculate Functions and Young Quasisymmetric Schur Functions, SoCalDM, May 2019
  • The Noncrossing Bond Poset of a Graph (poster), FPSAC 2019, July 2019
  • Slides for Selected Talks

  • Applications of Quotient Posets
  • Combinatorial Hopf Algebras of Simplicial Complexes
  • Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions
  • The Noncrossing Bond Poset of a Graph
  • Increasing Spanning Forests in Graphs
  • Whitney Duals of Geometric Lattices
  • Whitney Duals of Graded Partially Ordered Sets