Sophie Marques

collaborators

3 papers

math.CT2026

Generalized action monads and descent

Elena Caviglia, Sophie Marques, Luca Mesiti

We develop a monadic approach to actions of internal categories. Given an internal category, we construct a monad on a slice whose algebras are the actions of that internal categor…

math.AG2025

A note on gluing: a pillar of algebraic geometry

Sophie Marques, Damas Mgani

This paper examines the concept of gluing, placing it within its most general categorical context and tracing its foundational role in the broader architecture of algebraic geometr…

math.CO2025

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers

Sophie Marques, Elizabeth Mrema

This paper examines the recursive sequence of polynomials $p_{n} (x)$ , defined by $p_{0} (x) = x^{2} - 2$ and $p_{n} (x) = p_{n - 1} (x)^{2} - 2$ for $n \geq 1$ . It describes the field-theoretic m…