Research

My research is in algebraic, enumerative, and topological combinatorics. I’m particularly interested in problems involving hyperplane arrangements, Young tableaux, and permutation enumeration, as well as in structural questions about the topology of simplicial complexes.

Published Papers

On the q-Enumeration of Barely Set-Valued Plane Partitions and Linear Extensions
S. Hopkins, A. Lazar, S. Linusson
European Journal of Combinatorics
2023

Ferrers Graphs, D-Permutations, and Surjective Staircases
A. Lazar
The Ramanujan Journal
2022

Partition and Cohen–Macaulay Extenders
J. Doolittle, B. Goeckner, A. Lazar
European Journal of Combinatorics
2022

The Homogenized Linial Arrangement and Genocchi Numbers
A. Lazar, M. Wachs
Combinatorial Theory
2022

A Chip-Firing Game on the Product of Two Graphs and the Tropical Picard Group
A. Lazar
Electronic Journal of Combinatorics
2017

Preprints

Shuffle Theorems and Sandpiles
M. D’Adderio, M. Dukes, A. Iraci, A. Lazar, Y. Le Borgne, A. Vanden Wyngaerd

2023

Extended Abstracts

On the Homogenized Linial Arrangement: Intersection Lattice and Genocchi Numbers
A. Lazar, M. Wachs
Séminaire Lotharingien de Combinatoire
2019

Shuffle Theorems and Sandpiles
M. D’Adderio, M. Dukes, A. Iraci, A. Lazar, Y. Le Borgne, A. Vanden Wyngaerd
Séminaire Lotharingien de Combinatoire (To Appear)
2024

Two-Row Set-Valued Young Tableaux: Catalan^+k Combinatorics
A. Lazar, S. Linusson
Séminaire Lotharingien de Combinatoire (To Appear)
2024

Talks

Set-Valued Tableaux: q-Enumeration and Catalan Combinatorics
Journées Annuelles du GT CombAlg 2023
Paris, France

Lexicographic Shellability Statistics
NORCOM 2022
Tromsø, Norway

Posters

Vertex Order Shellings
Séminaire Lotharingien de Combinatoire 89
Bertinoro, Italy