The Zilber-Pink conjectures predicts that for an ambient special variety (such as an abelian variety or a Shimura variety), if is an irreducible algebraic subvariety which is not contained a proper special […]
Many models of statistical mechanics are defined on a lattice, yet they describe behaviour of objects in our seemingly isotropic world. It is then natural to ask why, in the […]
We show that the capacity of the Ising perceptron is with high probability upper bounded by the constant $\alpha \approx 0.833$ conjectured by Krauth and Mézard, under the condition that […]
Woodin's Σ2-Potentialist Principle roughly asserts that every locally verifiable set-theoretic statement that is consistent in a strong sense is true. Woodin asked whether this principle is itself consistent. The motivation is […]