Jennifer Brown

collaborators

6 papers

math.LO2025

The countable condensation on linear orders

Jennifer Brown, Ricardo Suárez

The countable condensation on a linear order $L$ is the equivalence relation $\sim_{ω}$ defined by declaring $x \sim_{ω} y$ when the set of points between $x$ and $y$ is countable. We c…

math.QA2025

Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology

Diogo Andrade, Julia Bierent, Jennifer Brown +28

These lecture notes are the product of a week-long learning workshop on the work of Johnson-Freyd and Reutter on the problem of the existence of minimal nondegenerate extensions of…

math.LO2025

Algebraic structures arising from the finite condensation on linear orders

Jennifer Brown, Ricardo Suárez

The finite condensation $\sim_{F}$ is an equivalence relation defined on a linear order $L$ by $x \sim_{F} y$ if and only if the set of points lying between $x$ and $y$ is finite. We d…

math.AG2024

Group theoretic properties of Clifford multiplication on 2-torsion points on the Dirac Spinor Abelian Variety

Jennifer Brown, Ivona Grzegorczyk, Ricardo Suárez

In this manuscript we consider a special complex torus, denoted $S_{Δ_{2 k}}$ (for each $k \in N, k \geq 1$ ) and called the Dirac spinor torus. It is an Abelian variety o…

math.QA2024

Skein Categories in Non-semisimple Settings

Jennifer Brown, Benjamin Haïoun

We introduce a version of skein categories of surfaces which depends on a tensor ideal in a linear ribbon category, thereby extending the existing theory to the setting of non-semi…

math.QA2024

Quantum invariants arising from $U_{h} sl (2∣1)$ are q-holonomic

Jennifer Brown, Nathan Geer

We show that the quantum invariants arising from typical representations of the quantum group $U_{h} sl (2∣1)$ are q-holonomic. In particular, this implies the existence of…