79 citations · 329 across the 37 of their papers we have counts for
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A graph theoretic expansion formula for cluster algebras of classical type
Gregg Musiker
In this paper we give a graph theoretic combinatorial interpretation for the cluster variables that arise in most cluster algebras of finite type. In particular, we provide a famil…
Combinatorial Aspects of Elliptic Curves II: Relationship between Elliptic Curves and Chip-Firing Games on Graphs
Gregg Musiker
Let q be a power of a prime and E be an elliptic curve defined over F_q. In "Combinatorial aspects of elliptic curves" [17], the present author examined a sequence of polynomials w…
Combinatorial Aspects of Elliptic Curves
Gregg Musiker
Given an elliptic curve C, we study here $N_k = #C(F_{q^k})$, the number of points of C over the finite field F_{q^k}. This sequence of numbers, as k runs over positive integers, h…
A new characterization for the m-quasiinvariants of S_n and explicit basis for two row hook shapes
Jason Bandlow, Gregg Musiker
In 2002, Feigin and Veselov defined the space of m-quasiinvariants for any Coxeter group, building on earlier work of Chalykh and Veselov. While many properties of those spaces wer…