Guilherme Zeus Dantas e Moura
Master of Mathematics Student
Department of Combinatorics & Optimization
University of Waterloo, Canada
Office: MC 6311
Email:
zdantase@uwaterloo.ca
·
zeus@guilhermezeus.com
I am currently pursuing a Master of Mathematics degree in the Department of Combinatorics & Optimization at the University of Waterloo. I am working on permuted-basement non-symmetric Macdonald polynomials, under the supervision of Olya Mandelshtam.
I am interested in combinatorics, algebraic combinatorics, mathematical olympiads, linguistics, LaTeX. My Erdős number is two.
Recent Publications (all)
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Cluster monomials in graph Laurent phenomenon algebras (2024)
Abstract
Laurent Phenomenon algebras, first introduced by Lam and Pylyavskyy, are a generalization of cluster algebras that still possess many salient features of cluster algebras. Graph Laurent Phenomenon algebras, defined by Lam and Pylyavskyy, are a subclass of Laurent Phenomenon algebras whose structure is given by the data of a directed graph. The main result of this paper is that the cluster monomials of a graph Laurent Phenomenon algebra form a linear basis, conjectured by Lam and Pylyavskyy and analogous to a result for cluster algebras by Caldero and Keller.
Current Coursework (all)
Representations of Finite Groups
Algebraic Enumeration