Differential Structure, Tangent Structure, and SDG. - J. Robin B. Cockett; Geoff S. H. Cruttwell (Appl. Categorical Struct., 2014)

Cartesian differential categories revisited. - Geoff S. H. Cruttwell (Math. Struct. Comput. Sci., 2017)

Reverse Derivative Categories. - J. Robin B. Cockett; Geoff S. H. Cruttwell; Jonathan Gallagher; Jean-Simon Pacaud Lemay; Benjamin MacAdam; Gordon D. Plotkin; Dorette Pronk (CSL, 2020)

Categorical semantics of a simple differential programming language. - Geoffrey S. H. Cruttwell; Jonathan Gallagher; Dorette Pronk (ACT, 2020)

Differential Equations in a Tangent Category I: Complete Vector Fields, Flows, and Exponentials. - J. Robin B. Cockett; Geoff S. H. Cruttwell; Jean-Simon Lemay (Appl. Categorical Struct., 2021)

Category Theory for Cognitive Science. - Britt Anderson; Steven Phillips; Toby St Clere Smithe; Geoffrey S. H. Cruttwell (CogSci, 2022)

Categorical Foundations of Gradient-Based Learning. - Geoffrey S. H. Cruttwell; Bruno Gavranovic; Neil Ghani; Paul W. Wilson 002; Fabio Zanasi (ESOP, 2022)

Monoidal reverse differential categories. - Geoff S. H. Cruttwell; Jonathan Gallagher; Jean-Simon Pacaud Lemay; Dorette Pronk (Math. Struct. Comput. Sci., 2022)

Reverse Tangent Categories. - Geoff S. H. Cruttwell; Jean-Simon Pacaud Lemay (CSL, 2024)

Deep Learning with Parametric Lenses. - Geoffrey S. H. Cruttwell; Bruno Gavranovic; Neil Ghani; Paul W. Wilson 002; Fabio Zanasi (CoRR, 2024)

A Fibrational Theory of First Order Differential Structures. - Matteo Capucci; Geoffrey S. H. Cruttwell; Neil Ghani; Fabio Zanasi (CoRR, 2024)

A Tangent Category Perspective on Connections in Algebraic Geometry. - Geoff S. H. Cruttwell; Jean-Simon Pacaud Lemay; Elias Vandenberg (Appl. Categorical Struct., 2025)