Postdoc: Category Theory & Computation with Proof Assistants

Delft University of Technology (TU Delft); Netherlands; On-site; EUR 60,000 - 75,000; Full time

Job summary

Delft University of Technology (TU Delft) invites applications for a postdoctoral research position in category theory, computer proof assistants, and computer algebra systems within the Programming Languages group.

The researcher will design and implement the connection between a proof assistant (Rocq, Lean or Agda) and CAP, making categorical concepts precise for formalisation and combining algebraic computation with verification.

Qualifications

• PhD in mathematics, computer science, or closely related field (awarded by start date or with defence scheduled).
• Research experience in interactive theorem proving, formalisation, computer algebra, or category theory with publications/thesis/software contribution.
• Interest in the other areas and willingness to learn them to working depth.
• Practical programming ability and comfort with large codebases.
• Ability to work independently and with English communication; experience in supervision and teaching.

Responsibilities

• Design and build the connection between a proof assistant and CAP.
• Formalise the categorical doctrines underlying CAP for faithful implementation.
• Develop open-source software and publish results.
• Present at conferences/workshops and supervise BSc/MSc projects.

Skills

Category theory

Interactive theorem proving

Programming

English communication

Collaboration

Education

PhD in mathematics or computer science

Tools

GAP

CAP

Rocq/Lean/Agda

Job description

Delft University of Technology (TU Delft) invites applications for a postdoctoral research position in category theory, computer proof assistants, and computer algebra systems within the Programming Languages group.

The researcher will design and implement the connection between a proof assistant (Rocq, Lean or Agda) and CAP, making categorical concepts precise for formalisation and combining algebraic computation with verification.