Integral geometry and valuation theory form a dynamic field at the intersection of geometric analysis and algebraic topology. This discipline addresses the study of measures – known as valuations – ...

The Invariant Set Hypothesis: A New Geometric Framework for the Foundations of Quantum Theory and the Role Played by Gravity. Ted Palmer studied general relativity at the University of Oxford, working ...

Specifically, we explore the interplay between algebra and topology to advance K-theory, the (local) Langlands programme, and central open questions in C*-algebras. Using tools from mathematical logic ...

The term “moduli space” was coined by Riemann for the space $\mathfrak{M}_g$ parametrizing all one-dimensional complex manifolds of genus $g$. Variants of this ...