The Adjoint School 2018

The 2018 Adjoint School featured projects mentored by John Baez, Aleks Kissinger, Martha Lewis, and Pawel Sobocinski. It was organised by Brendan Fong and Nina Otter. The research week was held at the Lorentz Center, Leiden, The Netherlands, in May 2018.

Research Projects

Semantics for open Petri nets and reaction networks

Mentor: John Baez

Petri nets and reaction networks are widely used to describe systems of interacting entities in computer science, chemistry and other fields, but the study of open Petri nets and reaction networks is new, and raise many new questions connected to Lawvere’s “functorial semantics”.

Participants and Blog Posts

Maru Sarazola Jonathan Lorand and Fabrizio Genovese

Outcomes Following the Research Week

Unification of the logic of causality

Mentor: Aleks Kissinger

Employ the framework of (pre-)causal categories to unite notions of causality and techniques for causal reasoning which occur in classical statistics, quantum foundations, and beyond.

Participants and Blog Posts

Joseph Moeller and Dmitry Vagner Pablo Andres-Martinez and Sophie Raynor
Compositional approaches to linguistics and cognition

Mentor: Martha Lewis

Use compact closed categories to integrate compositional models of meaning with distributed, geometric, and other meaning representations in linguistics and cognitive science.

Participants and Blog Posts

Tai-Danae Bradley and Brad Theilman Sarah Griffith and Jade Master

Outcomes Following the Research Week

Modelling of open and interconnected systems

Mentor: Pawel Sobocinski

Use Carboni and Walters’ bicategories of relations as a multidisciplinary algebra of open and interconnected systems.

Participants and Blog Posts

Eliana Lorch and Joshua Tan Daniel Cicala and Jules Hedges