Below are the courses I have taken at the University of Cambridge. I have (abridged) notes for most of these courses, if you are interested in seeing them please let me know.
Courses I have taken
Part IA (First year)
- Analysis I
- Differential Equations
- Dynamics and Relativity
- Groups
- Numbers and Sets
- Probability
- Vectors and Matrices
- Vector Calculus
Part IB (Second year)
- Analysis and Topology
- Complex Analysis
- Geometry
- Groups, Rings and Modules
- Linear Algebra
- Markov Chains
- Methods
- Numerical Analysis
- Optimisation
- Quantum Mechanics
- Statistics
- Variational Principles
Part II (Third year)
- Algebraic Geometry
- Algebraic Topology
- Analysis of Functions
- Differential Geometry
- Galois Theory
- Linear Analysis
- Number Fields
- Probability and Measure
- Representation Theory
- Riemann Surfaces
Part III (Fourth year, Masters’ level courses)
- Algebraic Geometry
- Algebraic Topology
- Analysis of PDEs
- Commutative Algebra
- Differential Geometry
- Lie Algebras and their Representations
- Modular Forms