Call for 2026 Summer Research Associates
Come spend the summer at the Topos Institute! For early-career researchers, we’re excited to open up applications for our 2026 Summer Research Associate program.
Chair (UK)
Ilyas Khan is the founder of Quantinuum. He was the founding Chairman of The Stephen Hawking Foundation, is a Fellow of St Edmund’s College at the University of Cambridge, and is a Leader in Residence at the Judge Business School, where he was instrumental in establishing the Accelerate Cambridge programme. Beyond his leadership in quantum computing, Ilyas has a long-standing interest in the foundations of mathematics and category theory and is a Life Member of the American Mathematical Society.
Today we’re excited to announce the first alpha release of CatColab 0.2: Wren. CatColab is software for making models of the world together.
Today we’re excited to announce the first pre-alpha release of our new software CatColab 0.1: Hummingbird. CatColab is software for making models of the world together.
In the third post of this series about Relational Thinking: from abstractions to applications, we look at the story-telling approach that we took in writing the book.
In the second post of this series about Relational Thinking: from abstractions to applications, we look at the technologies used to build the book.
In the first post of this series, we introduce the freely available online book Relational Thinking: from abstractions to applications, starting with the story of how it came into being and giving a brief overview of its contents.

A follow-up to Algebraic Geometry for the Working Programmer, this post explains a category-theoretic approach to symbolic open dynamical systems.