4 papers
Shape changing identities for permuted-basement nonsymmetric Macdonald polynomials
Guilherme Zeus Dantas e Moura, Olya Mandelshtam
Permuted-basement Macdonald polynomials are nonsymmetric generalizations of symmetric Macdonald polynomials that form a basis for the polynomial ring $\ma…
Cluster Monomials in Graph Laurent Phenomenon Algebras
Guilherme Zeus Dantas e Moura, Ramanuja Charyulu Telekicherla Kandalam, Dora Woodruff
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 La…
Probabilistic Entry Swapping Bijections for Non-Attacking Fillings
Guilherme Zeus Dantas e Moura, Olya Mandelshtam
Non-attacking fillings are combinatorial objects central to the theory of Macdonald polynomials. A probabilistic bijection for partition-shaped non-attacking fillings was introduce…
An invitation to Fibonacci digits
Justin Cheigh, Guilherme Zeus Dantas e Moura, Jacob Lehmann Duke +6
The purpose of this short note is to show the interplay between math outreach and conducting original research, in particular how each can build off the other.