D. Fillmore

collaborators

2 papers

math.RT2025

Subcategories of Module Categories via Restricted Yoneda Embeddings

Dylan Fillmore, Jonas T. Hartwig

We propose a framework for producing interesting subcategories of the category $_{A} Mod$ of left $A$ -modules, where $A$ is an associative algebra over a field $k$ . The con…

math.CO2025

The Existence and Structure of Universal Partial Cycles

Dylan Fillmore, Bennet Goeckner, Rachel Kirsch +2

A universal partial cycle (or upcycle) for $A^{n}$ is a cyclic sequence that covers each word of length $n$ over the alphabet $A$ exactly once -- like a De Bruijn…