14 citations · 44 across the 19 of their papers we have counts for
5 papers · 1 filter
Log-concavity of characters of parabolic Verma modules, and of restricted Kostant partition functions
Apoorva Khare, Jacob P. Matherne, Avery St. Dizier
In 2022, Huh-Matherne-Mészáros-St. Dizier showed that normalized Schur polynomials are Lorentzian, thereby yielding their continuous (resp. discrete) log-concavity on the positive…
A continuous associahedron of type A
Maitreyee C. Kulkarni, Jacob P. Matherne, Kaveh Mousavand +1
Taking a representation-theoretic viewpoint, we construct a continuous associahedron motivated by the realization of the generalized associahedron in the physical setting. We show…
Combinatorics of Fourier transforms for type A quiver representations
Pramod N. Achar, Maitreyee C. Kulkarni, Jacob P. Matherne
We describe two new combinatorial algorithms (using the language of "triangular arrays") for computing the Fourier transforms of simple perverse sheaves on the moduli space of repr…
Combinatorics of exceptional sequences in type A
Alexander Garver, Kiyoshi Igusa, Jacob P. Matherne +1
Exceptional sequences are certain ordered sequences of quiver representations. We introduce a class of objects called strand diagrams and use this model to classify exceptional seq…
A Combinatorial Model for Exceptional Sequences in Type A
Alexander Garver, Jacob P. Matherne
Exceptional sequences are certain ordered sequences of quiver representations. We use noncrossing edge-labeled trees in a disk with boundary vertices (expanding on T. Araya's work)…