Research

My research focuses on algebraic and geometric combinatorics. Currently I am studying dual graph structures arising from triangulations of flow polytopes.

Publications

  • Schröder combinatorics and the nu-associahedron.
    Joint with Martha Yip.
    European Journal of Combinatorics, Volume 98, December 2021, 103415.
    arXiv preprint

Refereed Conference Proceedings

  • On framed triangulations of flow polytopes, the nu-Tamari lattice and Young's lattice.
    Joint with Rafael González D’León, Fracisco Mayorga Cetina, and Martha Yip.
    To appear in Séminaire Lotharingien de Combinatoire, issue 85B, article B42. Proceedings of the 33rd
    International Conference on "Formal Power Series and Algebraic Combinatorics"
    , Israel, 2021. (Talk)

Preprints

  • A unifying framework for the nu-Tamari lattice and principal order ideals in Young's lattice.
    Joint with Rafael González D’León, Fracisco Mayorga Cetina, and Martha Yip.
    Submitted.

    arXiv preprint

  • Triangulations, order polytopes, and generalized snake posets.
    Joint with Ben Braun, Derek Hanely, Khrystyna Serhiyenko, Julianne Vega,
    Andrés Vindas-Meléndez, and Martha Yip.

    Submitted.
    arXiv preprint

In preparation

  • The nu-Tamari complex via the subdivision algebra.

  • On the cyclic nu-Tamari complex and a subdivision algebra for products of simplices.