26 citations · 30 across the 5 of their papers we have counts for
8 papers
Decorated square paths at q=-1
Sylvie Corteel, Alexander Lazar, Anna Vanden Wyngaerd
The valley Delta square conjecture states that the symmetric function can be expressed as the enumerator of a certain class of decorated sq…
Ferrers Graphs, D-Permutations, and Surjective Staircases
Alexander Lazar
We introduce a new family of hyperplane arrangements inspired by the homogenized Linial arrangement (which was recently introduced by Hetyei), and show that the intersection lattic…
Probing the initial mass function of the first stars with transients
Alexanders Lazar, Volker Bromm
The emergence of the first, so-called Population III (Pop III), stars shaped early cosmic history in ways that crucially depends on their initial mass function (IMF). However, beca…
On the -Enumeration of Barely Set-Valued Tableaux and Plane Partitions
Sam Hopkins, Alexander Lazar, Svante Linusson
Barely set-valued tableaux are a variant of Young tableaux in which one box contains two numbers as its entry. It has recently been discovered that there are product formulas enume…
Partition and Cohen-Macaulay Extenders
Joseph Doolittle, Bennet Goeckner, Alexander Lazar
If a pure simplicial complex is partitionable, then its -vector has a combinatorial interpretation in terms of any partitioning of the complex. Given a non-partitionable complex…
The Homogenized Linial Arrangement and Genocchi Numbers
Alexander Lazar, Michelle L. Wachs
We study the intersection lattice of a hyperplane arrangement recently introduced by Hetyei who showed that the number of regions of the arrangement is a median Genocchi number. Us…
On the Homogenized Linial Arrangement: Intersection Lattice and Genocchi Numbers
Alexander Lazar, Michelle L. Wachs
Hetyei recently introduced a hyperplane arrangement (called the homogenized Linial arrangement) and used the finite field method of Athanasiadis to show that its number of regions…
A Chip-Firing Game on the Product of Two Graphs and the Tropical Picard Group
Alexander Lazar
In his preprint https://arxiv.org/abs/1308.3813, Cartwright introduced the notion of a weak tropical complex in order to generalize the concepts of divisors and the Picard group on…