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 Noncrossing Bond Poset of a Graph (with C. Matthew Farmer and Clifford Smyth)
    Electronic Journal of Combinatorics 27 (2020) arXiv version

  7. The Whitney Duals of a Graded Poset (with Rafael S. González D'león)
    J. Combin. Theory Ser. A, 177 (2021) arXiv version

  8. Gorenstein Braid Cones and Crepant Resolutions (with John Machacek)
    accepted to Discrete Comput. Geom. arXiv version

  9. Whitney Twins, Whitney Duals, and Operadic Partition Posets (with Rafael S. González D'león and Yeison A. Quiceno D)
    (2023) arXiv version

Dissertation

  • Quotient Posets and the Characteristic Polynomial Michigan State University, May 2015
  • Slides for Selected Talks

  • Applications of Quotient Posets
  • Braid Cones and the Gorenstein Property
  • The Chromatic Polynomial of a Graph
  • Combinatorial Hopf Algebras of Simplicial Complexes
  • Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions
  • Increasing Chain Complex
  • Increasing Spanning Forests in Graphs
  • The Noncrossing Bond Poset of a Graph
  • Parking Functions and Noncrossing Partitions of Graphs
  • Whitney Duals of Geometric Lattices
  • Whitney Duals of Graded Partially Ordered Sets