4 problems

Consider the number of flux vacua as a function of the tadpole bound. Subpolynomial vacuum-count conjecture. The number of vacua scales subpolynomially with the tadpole, unless the…

Let $E\rightarrow\mathcal{M}$ be a variation of polarized Hodge structure of weight $D=2k$. For a positive integer $L$, define … Here $\mathcal{M}$ is the complex-structure moduli…

Let the self-dual flux-vacuum locus be the locus of flux vacua satisfying the self-duality conditions, and let $(F,D)$ denote its sharp o-minimal format and degree. Sharp o-minimal…

Let $E\rightarrow\mathcal{M}$ be a variation of polarized Hodge structure of even weight $D=2k$. For a positive integer $L$, define the locus of Hodge classes with self-intersectio…