Project-Based Specialisations
Project-based specialisations are for learners ready to connect advanced mathematics with written work, technical projects, and stronger evidence of capability.
Specialisation Catalogue
These routes are for learners ready to work with demanding mathematical structures, sustained written reasoning, and technical output that can be discussed clearly.

Lie Groups with Applications
Lie groups, Lie algebras, representation theory, and applications in physics, geometric deep learning, and quantum computing.

Topological Data Analysis
Use simplicial complexes, persistence, and homology to study the shape of data.
Specialisations are normally taken after QF has checked the learner's preparation, available time, and project direction.