14 citations · 44 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
The Deligne-Simpson problem for connections on with a maximally ramified singularity
Maitreyee C. Kulkarni, Neal Livesay, Jacob P. Matherne +2
The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections with residues at the singular points in specified adjoint orbits. Crawley-Boevey fo…
Generalized splines on graphs with two labels and polynomial splines on cycles
Portia Anderson, Jacob P. Matherne, Julianna Tymoczko
Generalized splines are an algebraic combinatorial framework that generalizes and unifies various established concepts across different fields, most notably the classical notion of…
Equivariant log concavity and representation stability
Jacob P. Matherne, Dane Miyata, Nicholas Proudfoot +1
We expand upon the notion of equivariant log concavity, and make equivariant log concavity conjectures for Orlik--Solomon algebras of matroids, Cordovil algebras of oriented matroi…