3 problems

Let $X$ be a smooth projective complex variety, and let $M_B(X,r)$ denote its Betti moduli space of rank $r$ representations as defined in the paper. An integral point is a point d…

Let $X$ be a sufficiently nice parameter space, such as a CW complex, let $\mathcal{C}$ be a fusion category, and let $\mathcal{M}$ be a fixed $\mathcal{C}$-module category with co…

Let $\mathcal{X}$ be a hyperbolic curve over the relevant arithmetic base, let $p$ be a prime, and let $\mathcal{X}(\mathbb{Z})\subset\mathcal{X}(\mathbb{Z}_p)$ denote the global a…