Jerónimo Valencia Porras

Research Articles

A combinatorial proof of an identity involving Eulerian numbers
Preprint: arXiv:2410.01179
Published in The Electronic Journal of Combinatorics: DOI: 10.37237/14377

Macdonald polynomials at t=0 through twisted multiline queues
(with Olya Mandelshtam)
Preprint: arXiv:2407.05362
Published in Advances in Applied Mathematics: DOI: 10.1016/j.aam.2025.103020

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: 10.1515/advgeom-2024-0002

Code

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

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