A new shifted Littlewood–Richardson rule and related developments (Poster)
FPSAC 2025 - University of Hokkaido. Sapporo, Japan.
☕️About Me
I am a Ph.D. candidate in Combinatorics and Optimization at the University of Waterloo advised by Oliver Pechenik. Before that I studied at the University of Los Andes, where I completed a B.Sc. and a M.Sc. in Mathematics working with Carolina Benedetti. A constant theme in my work has been the exploration of discrete structures through their interaction with algebraic structures. Specifically, I have studied problems in the intersection of Schubert calculus, Hopf algebras, semigroup theory, polytopes coming from symmetric functions, and combinatorics.
Feel free to send me an email by clicking on the “@” icon.
Interests
- Schubert Calculus.
- Hopf Algebras in Combinatorics.
- Algebraic Combinatorics.
- Interaction between Polytopes and Symmetric Functions.
Education
Ph.D. Combinatorics and Optimization (In Progress)
University of Waterloo
M.Sc. Mathematics
University of Los Andes
B.Sc. Mathematics
University of Los Andes
Featured Publications
Recent Publications
(2025).
Constructed Tableaux and a new Shifted Littlewood--Richardson Rule.
preprint.
(2024).
A universal characterization of the shifted plactic monoid.
Semigroup Forum.
(2021).
Generalized lattice-point visibility in $Bbb N^k$.
Involve.
(2020).
Schur and Power Sum Polytopes.
M.Sc. thesis.
Featured Talks and Posters
A new shifted Littlewood-Richardson rule.
LACIM Seminar. - UQAM. Montreal, Canada.
Jeu de Taquin for Mixed Insertion and a Problem by Cho (Poster)
Combinatorial Algebra Meets Algebraic Combinatorics (CAAC) 2025 - The Fields Institute / University of Toronto. Toronto, Canada
A new shifted Littlewood-Richardson rule.
Ontario Graduate Mathematics Conference (OGMC) 2024 - University of Waterloo. Waterloo, Canada.
A new shifted Littlewood-Richardson rule.
Graduate Online Combinatorics Colloquium (GOCC) 2024 - Online