Representation theory of Lie algebras and modules explores how abstract algebraic structures known as Lie algebras act on vector spaces, thereby realising algebraic relations as linear transformations ...

Homological algebra studies algebraic structures by probing them with chain complexes and derived functors, revealing hidden layers of relationships among objects such as modules over rings.

Physicists and computer scientists have recently expanded the modern theory of the thermodynamics of computation. By combining approaches from statistical physics and computer science, the researchers ...

This course gives an introduction to the mathematical foundations of computation. The course will look at Turing machines, universal computation, the Church-Turing thesis, the halting problem and ...