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20132024
most citedLabeled binary trees, subarrangements of the Catalan arrangements, and Schur positivity

7 citations · 12 across the 12 of their papers we have counts for

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8 papers · 1 filter

math.CO2024

A combinatorial skewing formula for the Rise Delta Theorem

Maria Gillespie, Eugene Gorsky, Sean T. Griffin

We prove that the symmetric function appearing in the Delta Conjecture can be obtained from the symmetric function in the Rational Shuffle Theorem by applying a S…

math.CO2023

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

Maria Gillespie, Sean T. Griffin

We prove that , the symmetric function in the Delta Conjecture at , is a skewing operator applied to a Hall-Littlewood polynomial, and generalize this f…

math.CO2022

-Springer varieties and Hall-Littlewood polynomials

Sean T. Griffin

The -Springer varieties are a generalization of Springer fibers introduced by Levinson, Woo, and the author that have connections to the Delta Conjecture from algebraic combinat…

math.CO2022

Orbit harmonics for the union of two orbits

Sean T. Griffin

Garsia and Procesi, in their study of Springer's representation, proved that the cohomology ring of a Springer fiber is isomorphic to the associated graded ring of the coordinate r…

math.CO2021

Lazy tournaments and multidegrees of a projective embedding of

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.CO2020

Ordered set partitions, Garsia-Procesi modules, and rank varieties

Sean T. Griffin

We introduce a family of ideals in for a partition of and an integer . This family contains both the Tanisaki…

math.CO2017★ 7 cited

Labeled binary trees, subarrangements of the Catalan arrangements, and Schur positivity

Ira M. Gessel, Sean T. Griffin, Vasu Tewari

In 1995, the first author introduced a multivariate generating function {} that tracks the distribution of ascents and descents in labeled binary trees. In addition to proving t…

math.CO2013★ 1 cited

Minimal Pancyclicity

Sean Griffin

A pancyclic graph is a simple graph containing a cycle of length for all . Let be the minimum number of edges of all pancyclic graphs on vertices. Exa…