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.
Postdoctoral Researcher
José is a mathematician with a background in Foundations of Mathematics, particularly Category Theory and its relationship to Logic, Geometry, and Computation. Other interests include facets of mathematical thinking and how its understanding affects education, pure and applied logic, computer science, and languages (broadly construed). His PhD thesis at Cambridge was originally about nonstandard analysis (and, more broadly, nonstandard proof methods) in toposes. Internal to Topos, he now tries to leverage the tools of categorical logic to better understand the compositionality of systems.
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.