M. Gillespie

activity

20152025

most citedCharacterization of queer supercrystals

14 citations · 23 across the 18 of their papers we have counts for

collaborators

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16 papers · 1 filter

math.CO2025

Sign-reversing involutions in moduli spaces of curves

Vance Blankers, Maria Gillespie, Jake Levinson

We use sign-reversing involutions to solve two computational problems that arise naturally in the geometry of moduli spaces of curves. In particular, we give an explicit combinator…

math.CO2023

Cocharge and skewing formulas for $Δ$ -Springer modules and the Delta Conjecture

Maria Gillespie, Sean T. Griffin

We prove that $ω Δ_{e_{k}}^{'} e_{n} ∣_{t = 0}$ , the symmetric function in the Delta Conjecture at $t = 0$ , is a skewing operator applied to a Hall-Littlewood polynomial, and generalize this f…

math.CO2022

A Generalized RSK for Enumerating Linear Series on $n$ -pointed Curves

Maria Gillespie, Andrew Reimer-Berg

We give a combinatorial proof of a recent geometric result of Farkas and Lian on linear series on curves with prescribed incidence conditions. The result states that the expected n…

math.CO2021★ 2 cited

Inequality of a class of near-ribbon skew Schur Q-functions

Maria Gillespie, Kyle Salois

While equality of skew Schur functions is well understood, the problem of determining when two skew Schur $Q$ functions are equal is still largely open. It has been studied in the…

math.CO2021

Lazy tournaments and multidegrees of a projective embedding of $M_{0, n}$

Maria Gillespie, Sean T. Griffin, Jake Levinson

We provide a new geometric interpretation of the multidegrees of the (iterated) Kapranov embedding $Φ_n:\overline{M}_{0,n+3}\hookrightarrow \mathbb{P}^1\times \mathbb{P}^2\times \c…

math.CO2021

Iterating the RSK Bijection

Maria Gillespie, Jacob Hocevar, Ananya Kulshrestha +1

We investigate the dynamics of the well-known RSK bijection on permutations when iterated on various reading words of the recording tableau. In the setting of the ordinary (row) re…

math.CO2020

Higher Specht bases for generalizations of the coinvariant ring

Maria Gillespie, Brendon Rhoades

The classical coinvariant ring $R_{n}$ is defined as the quotient of a polynomial ring in $n$ variables by the positive-degree $S_{n}$ -invariants. It has a known basis that respects th…

math.CO2019

Schubert curves in the orthogonal Grassmannian

Maria Gillespie, Jake Levinson, Kevin Purbhoo

We develop a combinatorial rule to compute the real geometry of type B Schubert curves $S (λ_{∙})$ in the orthogonal Grassmannian $OG_{n}$ , which are one-dimensional Schu…

math.CO2018★ 14 cited

Characterization of queer supercrystals

Maria Gillespie, Graham Hawkes, Wencin Poh +1

We provide a characterization of the crystal bases for the quantum queer superalgebra recently introduced by Grantcharov et al.. This characterization is a combination of local que…

math.CO2018

Enumerating Anchored Permutations with Bounded Gaps

Maria M. Gillespie, Kenneth G. Monks, Kenneth M. Monks

Say that a permutation of $1, 2, \dots, n$ is \textit{ $k$ -bounded} if every pair of consecutive entries in the permutation differs by no more than $k$ . Such a permutation is \textit{…

math.CO2018

Axioms for shifted tableau crystals

Maria Gillespie, Jake Levinson

We give local axioms that uniquely characterize the crystal-like structure on shifted tableaux developed in a previous paper by Gillespie, Levinson, and Purbhoo. These axioms close…

math.CO2017

Shifted tableaux crystals

Maria Gillespie, Jake Levinson, Kevin Purbhoo

We introduce coplactic raising and lowering operators $E_{i}^{'}$ , $F_{i}^{'}$ , $E_{i}$ , and $F_{i}$ on shifted skew semistandard tableaux. We show that the primed operators and unprimed operato…

math.CO2017

A crystal-like structure on shifted tableaux

Maria Gillespie, Jake Levinson, Kevin Purbhoo

math.CO2016

Macdonald symmetry at $q = 1$ and a new class of inv-preserving bijections on words

Maria Gillespie, Ryan Kaliszewski, Jennifer Morse

We give a direct combinatorial proof of the $q, t$ -symmetry relation $H ~_{μ} (X; q, t) = H ~_{μ^{'}} (X; t, q)$ in the Macdonald polynomials $H ~_{μ}$ at the specialization $q = 1$ .…

math.CO2016★ 4 cited

Monodromy and K-theory of Schubert curves via generalized jeu de taquin

Maria Monks Gillespie, Jake Levinson

We establish a combinatorial connection between the real geometry and the $K$ -theory of complex Schubert curves $S (λ_{∙})$ , which are one-dimensional Schubert problems defined…

math.CO2015

A combinatorial approach to the q,t-symmetry relation in Macdonald polynomials

Maria Monks Gillespie

Using the combinatorial formula for the transformed Macdonald polynomials of Haglund, Haiman, and Loehr, we investigate the combinatorics of the symmetry relation $\widetilde{H}_μ(…

Sign-reversing involutions in moduli spaces of curves

Cocharge and skewing formulas for Δ-Springer modules and the Delta Conjecture

A Generalized RSK for Enumerating Linear Series on n-pointed Curves

Inequality of a class of near-ribbon skew Schur Q-functions

Lazy tournaments and multidegrees of a projective embedding of M0,n​

Iterating the RSK Bijection

Higher Specht bases for generalizations of the coinvariant ring

Schubert curves in the orthogonal Grassmannian

Characterization of queer supercrystals

Enumerating Anchored Permutations with Bounded Gaps

Axioms for shifted tableau crystals

Shifted tableaux crystals

A crystal-like structure on shifted tableaux

Macdonald symmetry at q=1 and a new class of inv-preserving bijections on words

Monodromy and K-theory of Schubert curves via generalized jeu de taquin

A combinatorial approach to the q,t-symmetry relation in Macdonald polynomials

Cocharge and skewing formulas for $Δ$ -Springer modules and the Delta Conjecture

A Generalized RSK for Enumerating Linear Series on $n$ -pointed Curves

Lazy tournaments and multidegrees of a projective embedding of $M_{0, n}$

Macdonald symmetry at $q = 1$ and a new class of inv-preserving bijections on words