9 papers
Extending the Bipartite Parking Space
Dora Woodruff
We prove an analogue of a theorem of Berget and Rhoades about extending the parking space to an -module . Specifically, we show that the…
Honeycombs and Sums of Hermitian Matrices, Revisited
Ankur Moitra, Alexander Postnikov, Dora Woodruff
We give a new proof of the celebrated theorem of Knutson and Tao that the spectra of triples of Hermitian matrices exactly correspond to positions of boundary rays of h…
Temperley-Lieb Immanants, Key Positivity, and Demazure Crystals
Rosa Paten, Dora Woodruff
The main goal of this paper is to extend three important Schur positivity results to key positivity, replacing all Schur polynomials in relevant expressions with flagged Schur poly…
Forest Polynomials and Pattern Avoidance
Annie Guo, Dora Woodruff
Forest polynomials, recently introduced by Nadeau and Tewari, can be thought of as a quasisymmetric analogue for Schubert polynomials. They have already been shown to exhibit inter…
A weak regularity lemma for polynomials
Guy Moshkovitz, Dora Woodruff
A regularity lemma for polynomials provides a decomposition in terms of a bounded number of approximately independent polynomials. Such regularity lemmas play an important role in…
A generalization of RSK to -complete posets
Son Nguyen, Joseph Vulakh, Dora Woodruff
The hook length formula for -complete posets expresses the number of linear extensions of a -complete poset in terms of hooks of . It generalizes the usual hook length…
Shuffle Tableaux, Littlewood--Richardson Coefficients, and Schur Log-Concavity
Chau Nguyen, Son Nguyen, Dora Woodruff
We give a new formula for the Littlewood--Richardson coefficients in terms of peelable tableaux compatible with shuffle tableaux, in the same fashion as Remmel--Whitney rule. This…
Single-SEM Schubert Polynomials
Dora Woodruff
We give a pattern-avoidance characterization of such that the Schubert polynomial is a standard elementary monomial. This characterization tells us whi…
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…