Papers and Publications

• Monodromy of the family of del Pezzo and K3 surfaces branching over smooth quartic curves.
  Preprint. [pdf]
• Monodromy of the family of cubic surfaces branching over smooth cubic curves.
  Annales de l'Institut Fourier, to appear. [pdf] [Computations Repository]
• Tropical Embeddings of Metric Graphs.
  2016, Preprint. [pdf]

Expository Writing

• Functions over the integers and grasshoppers.
  Espacio Matemático Vol. 1 (No. 2) 2020, pp. 104-111 [pdf]
• Vieta Jumping.
  Tzaloa Año 2021 (No. 2), pp. 1-10. [pdf] [magazine]

Talk Slides

• Monodromy of K3 surfaces branching over Quartic Curves.
  Seminario de Topología Algebraica (IMUNAM) [Abstract]
  • Español [pdf]
  • English [pdf]
• On the Torelli theorems.
  Farb and Friends [pdf] [video]
• Monodromy of Families of Hyperelliptic Curves.
  Farb and Friends [pdf] [video]
• Monodromy of Families of Varieties.
  Seminario Nacional de Geometría Algebraica en línea (UNAM) [poster] [video]
  • Español [pdf]
  • English [pdf]
• Four dimensional lattices with the same Theta series.
  Benson's Working Group [pdf]
• Una Vida con Matemáticas
  Talent Land [pdf]

Not for Publication

• Cohomology of Configuration Spaces and Representation Stability.
  Discussed with Benson Farb. [pdf]

• Banchoff-Chmutov Surfaces.
  Taught by Amie Wilkinson. [pdf]

• On Isomorphic Contact Diffeomorphism Groups.
  Discussed with Patrick Massot. [pdf]

MIT - UROP

• Constructing a Universal Contact Link.
  Mentor: Roger Casals.
  Project partially lead to the following paper by Roger Casals and John Etnyre:
  Transverse Universal Links. [pdf]
  Proceedings of Symposia in Pure Mathematics Vol. 102
  Breadth in Contemporary Topology
• Lefschetz Bifibrations of a family of Koras-Russell Threefolds.
  Mentor: Roger Casals.
• Explicit Open Book decompositions.
  Mentor: Roger Casals.
• Combinatorics behind the m/n-conjecture.
  Mentor: Andrei Negut.