Philip Tosteson

activity

20122024

most citedThe Average Gap Distribution for Generalized Zeckendorf Decompositions

26 citations · 26 across the 2 of their papers we have counts for

collaborators

3 papers

math.RT2024

Hilbert series of representations of categories of $G$ -sets

Philip Tosteson

Let $G$ be a finite group. A contravariant functor from the category of finite free $G$ -sets to vector spaces has an associated Hilbert series, which records the underlying sequenc…

math.AT2019

Representation stability for pure braid group Milnor fibers

Jeremy Miller, Philip Tosteson

We prove a representation stability result for the Milnor fiber associated to the pure braid group. Our result connects previous work of Simona Settepenella to representation stabi…

math.NT2012★ 26 cited

The Average Gap Distribution for Generalized Zeckendorf Decompositions

Olivia Beckwith, Amanda Bower, Louis Gaudet +4

An interesting characterization of the Fibonacci numbers is that, if we write them as $F_{1} = 1$ , $F_{2} = 2$ , $F_{3} = 3$ , $F_{4} = 5, ...$ , then every positive integer can be written un…

Hilbert series of representations of categories of G-sets

Representation stability for pure braid group Milnor fibers

The Average Gap Distribution for Generalized Zeckendorf Decompositions

Hilbert series of representations of categories of $G$ -sets