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

Publications

• 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.
  Combinatorica. Accepted.
  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.
  Combinatorial Theory. Accepted.
  arXiv preprint

• 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.
  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 subdivision algebra for a product of two simplices via flow polytopes.
  arXiv preprint

• Triangulations of Flow Polytopes, Ample Framings, and Gentle Algebras.
  Joint with Ben Braun, Kaitlin Bruegge, Derek Hanely, Zachery Perterson,
  Khrystyna Serhiyenko, and Martha Yip.
  arXiv preprint

• On the subdivision algebra for the polytope U_I,J.
  Joint with Martha Yip.
  arXiv preprint

• On sums, derivatives, and flips of Riordan arrays.
  Joint with Caroline Bang, Eric Culver, Jessica Dickson, Stoyan Dimitrov,
  Rachel Perrier, and Sheila Sundaram.
  arXiv preprint