Jerónimo Valencia Porras

Research Articles

A combinatorial proof of an identity involving Eulerian numbers
Preprint: arXiv:2410.01179
Macdonald polynomials at t=0 through (generalized) multiline queues
(with Olya Mandelshtam)
Preprint: arXiv:2407.05362
Submitted to Advances in Applied Mathematics
On lattice path matroid polytopes: alcoved triangulations and snake decompositions
(with Carolina Benedetti and Kolja Knauer)
Preprint: arXiv:2303.10458
Inequalities for f*-vectors of Lattice Polytopes
(with Matthias Beck, Danai Deligeorgaki and Max Hlavacek)
Preprint: arXiv:2210.12271
Published in Advances in Geometry: doi.org/10.1515/advgeom-2024-0002

My GitHub repositories include the following projects:

MultilineQueues: A compendium of iPython Notebooks with the implementation of the classes of fermionic and bosonic (called Multiline Diagrams before...) multiline queues (MLQs and MLDs) , Generalized MLQs, Supersymmetric MLQs, and Poset MLQs.
DilatedSimplices: In preparation.
LPMsRank2: An implementation of Python code to compute the h*-vector of the matroid base polytope of lattice path matroids from the dual graph of their (alcoved) triangulation. Explicit calculation for the case of Schubert matroids of rank 2 are included.
RandomProblemGenerator: A part of a project at Universidad de los Andes to automatize the generation of problem sets in Probability.
Physics-Undergraduate-Thesis: Includes the code in C++ used to generate the data to explore a particle model and the interactions between its phase transitions and chaotic parameters of the underlying dynamical systtem.

Others