The ideas of self-observation and self-representation, and the concomitant idea of self-
control, pervade both the cognitive and life sciences, arising in domains as diverse as …

[2103.13771] The Sheaf-Theoretic Structure of Definite Causality Skip to main content Cornell
University We gratefully acknowledge support from the Simons Foundation, member …

We consider the phenomenon of quantum mechanical contextuality, and specifically parity-
based proofs thereof. Mermin's square and star are representative examples. Part of the …

We introduce the category of information structures, whose objects are suitable diagrams of
measurable sets that encode the possible outputs of a given family of observables and their …

The use of geometric and symmetry techniques in quantum and classical information
processing has a long tradition across the physical sciences as a means of theoretical …

We construct a topological space to study contextuality in quantum mechanics. The resulting
space is a classifying space in the sense of algebraic topology. Cohomological invariants of …

The question of what should be meant by a measurement is tackled from a mathematical
perspective whose physical interpretation is that a measurement is a fundamental process …

The present thesis consists of 2 parts. Chapter 1 is about applications of twisted equivariant
K-theory to condensed matter. We consider non-interacting electrons on a half-crystal (a …