My research focuses on algebraic and geometric combinatorics. Currently I am investigating lattices arising from triangulations of flow polytopes. 

Upcoming

• Framing lattices and flow polytopes.
  Joint with Cesar Ceballos
  FPSAC2024 Extended Abstract 

Publications

• A subdivision algebra for a product of two simplices via flow polytopes.
  Discrete and Computational Geometry (Published 28 June, 2024)
  arXiv preprint

• Triangulations of flow polytopes, ample framings, and gentle algebras.
  Joint with Ben Braun, Kaitlin Bruegge, Derek Hanely, Zachery Peterson,
  Khrystyna Serhiyenko, and Martha Yip.
  Selecta Mathematica. Volume 30, article number 55, (2024)
  arXiv preprint

• On the subdivision algebra for the polytope U_I,J.
  Joint with Martha Yip.
  Annals of Combinatorics. (Published: 19 May 2023)
  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.
  Journal of Integer Sequences. 26 (2023), no. 2, Art. 23.2.7
  arXiv preprint

• A unifying framework for the nu-Tamari lattice and principal order ideals in Young's lattice.
  Joint with Rafael González D’León, Francisco Mayorga Cetina, and Martha Yip.
  Combinatorica. 43 479-504 (2023)
  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. 2 (3)(2022), #10
  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

• Triangulations, order polytopes, and generalized snake posets.
  Joint with Ben Braun, Derek Hanely, Khrystyna Serhiyenko, Julianne Vega, Andrés R. Vindas-Meléndez, and Martha Yip.
  Séminaire Lotharingien de Combinatoire, issue 86B, article B5. Proceedings of the 34th
  International Conference on "Formal Power Series and Algebraic Combinatorics", India, 2022. (Talk)

• 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)