I completed my PhD in Computer Science and Mathematics at Université Paris-Saclay (LISN) under the guidance of Viviane Pons and Vincent Pilaud. My mathematical research concerns Algebraic and Geometric Combinatorics. More specifically, I am interested in Coxeter groups, polytopes, and matroid theory.
In 2019 I finished my Masters in Mathematics under Carolina Benedetti and in 2017 my Bachelors in Mathematics under Tristram Bogart. Both at Universidad de los Andes.
E-mail: name(dot)firstlastname(22)(at)hotmail(dot)com
Github: github.com/DanielTamayo22/
Here is my CV (in french) last updated on Nov 2023.
Theses
Combinatorics of Permutreehedra and Geometry of s-Permutahedra (Slides),
PhD thesis. On permutree congruences of the weak order, and the s-weak order.Quotients of Positroids,
Master thesis. On matroid theory, positroids, and decorated permutations.Pattern Avoiding Subpolytopes of the Permutahedron,
Bachelor thesis. Mainly focused on Ehrhart theory and this article.
Publications and Preprints
Realizing the s-Permutahedron via Flow Polytopes (with Rafael S. González D’León, Alejandro H. Morales, Eva Philippe, and Martha Yip) Gallery of realizations! [arxiv]
Permutree Sorting (with Vincent Pilaud and Viviane Pons) [arxiv] [article]
Algebraic Combinatorics, Volume 6 (2023) no. 1, pp. 53-74.
Séminaire Lotharingien de Combinatoire, 85B.31 (2021), 12 pp. [extended abstract]Quotients of Uniform Positroids (with Carolina Benedetti and Anastasia Chavez) [arxiv] [article]
The Electronic Journal of Combinatorics, 29.1 (2022), 20 pp.Inversion and Cubic Vectors for Permutrees [arxiv]
Invited and Accepted Talks
PAGCAP Weissensee Workshop (Weissensee), Austria, May 2023.
Discrete CATS Seminar (University of Kentucky), U.S.A., Mars 2023.
Doctorants en Géométrie Combinatoire (Sorbonne Université), France, February 2023.
Séminaire de l'équipe GALaC, (Université Paris-Saclay, LISN), France, December 2022.
Séminaire d'Algèbre et Géométrie, (Université de Versailles Saint-Quentin-en-Yvelines, LMV), France, February 2022.
Séminaire Combinatoire énumérative et analytique, (Université de Paris , IRIF), France, February 2022.
Doctorants en Géométrie Combinatoire (Sorbonne Université), France, February 2022.
Journée de Combinatoire , (Institut de Recherche Mathématique Avancée), France, November 2021,
GT Combinatoire et Interactions (Université de Bordeaux, LaBRI), online, September 2021.
The Applied Algebra Seminar (York University), online, March 2021.
Doctorants en Géométrie Combinatoire (Sorbonne Université), online, January 2021.
Einstein Seminar on Discrete Geometry (FU Berlin), online, November 2020.
Graduate Online Combinatorics Colloquium, online, September 2020.
Arbeitsgemeinschaft Diskrete Mathematik, (TU-Wien), Austria, December 2019.
Einstein Workshop on Polytopes and Algebraic Geometry (Freie Universität Berlin), Germany, December 2019.
Seminario Sabanero de Combinatoria, (Universidad de los Andes), Colombia, September 2019.
Seminario de Matemáticas Discretas (Universidad Nacional), Colombia, September 2017.
Teaching Experience
Bases de données, Université Paris-Saclay, Spring 2023.
Algorithmique, Université Paris-Saclay, Fall 2022.
Programmation Impérative, Université Paris-Saclay, Fall 2022.
Programmation Impérative (2 sections), Université Paris-Saclay, Fall 2021.
Programmation Modulaire, Université Paris-Saclay, Spring 2021.
Sécurité et Sureté, Université Paris-Saclay, Spring 2021.
Programmation Impérative, Université Paris-Saclay, Fall 2020.
Cálculo integral con ecuaciones differenciales, Universidad de los Andes, Spring 2018.
Cálculo integral con probabilidad, Universidad de los Andes, Fall 2017.
Cálculo vectorial, Universidad de los Andes, Fall 2017.
Álgebra lineal I, Universidad de los Andes, Spring 2017.
Álgebra lineal I, Universidad de los Andes, Spring 2016.