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Urbanization shapes infectious disease dynamics through mobility, infrastructure, and spatial structure. Prior work shows how density and network connectivity influence epidemic spread [1,2], particularly for directly transmitted diseases such as COVID-19 and influenza [1,2,3]. However, many models assume pairwise transmission […]

Skew braces are a class of algebraic structures introduced by Guarnieri and Vendramin to study set-theoretic solutions of the Yang–Baxter equation. A skew brace consists of a set equipped with two group operations satisfying a compatibility condition known as skew-left […]

(Abelian) $ℓ$-groups are abelian groups equipped with a lattice order compatible with addition. A prototypical example is the additive group of continuous real-valued functions on a topological space. As well as being an interesting variety of groups in their own […]

Bounding Betti numbers of semialgebraic sets has a 70+ year history where questions are studied because they are interesting in their own right, and also because they have applications in many areas. Indeed, such bounds are crucial in incidence geometry […]

This is joint work with Michael Pinsker. A mixed identity for a group $G$ is a word $w(x_1, \dots, x_r, g_1,\dots, g_n)$ in the language of groups (with variables $x_1,\dots, x_r$ and constants $g_1, \dots, g_n\in G$) such that for […]

Abstract. Adsorption is a ubiquitous chemical process where atoms, ions, or molecules from a fluid attach to the surface of a solid. Adsorption processes lie at the heart of many technologies, for example contaminants bind to porous media in water‑treatment […]