Research

Papers

  • (with Kuei-Nuan Lin) "Lattices and Hypergraphs Associated to Squarefree Monomial Ideals”
  • (with Lindsay C. Piechnik) “Constructing monomial ideals with a given minimal resolution”, Rocky Mountain Journal of Mathematics. 47 (6) (2017), 1963-1985. pdf
  • (with Timothy B. Clark) “The Betti poset in monomial resolutions” pdf
  • (with David Cook II and Gwyneth Whieldon) “Partially ordered sets in Macaulay2”, Journal for Software for Algebra and Geometry 7-1 (2015), 9–15. DOI 10.2140/jsag.2015.7.9-15. pdf
  • (with Timothy B. Clark) “Rigid monomial ideals”, J. Comm. Alg. 6 (1) (2014), 33-51. pdf
  • “Finite atomic lattices and resolutions of monomial ideals”, J. Algebra 379 (2013), 259-276. pdf

Here is a copy of my thesis.