A list of courses which I have taken, or are currently taking. A * denotes a course which I did not take to exams.
University of Cambridge
First year (Part IA)
- Numbers and Sets
- Groups
- Vectors and Matrices
- Differential Equations
- Analysis I
- Probability
- Vector Calculus
- Dynamics and Relativity
Second year (Part IB)
- Analysis and Topology
- Linear Algebra
- Markov Chains
- Methods*
- Quantum Mechanics*
- Geometry
- Groups, Rings and Modules
- Complex Analysis
- Numerical Analysis
- Statistics
- Optimisation*
- Variational Principles
Third year (Part II)
- Algebraic Topology
- Galois Theory
- Linear Analysis
- Number Theory*
- Probability and Measure
- Representation Theory*
- Algebraic Geometry
- Analysis of Functions
- Differential Geometry
- Number Fields
- Riemann Surfaces
Fourth year (Part III)
- Algebraic Geometry*
- Algebraic Topology
- Analysis of PDEs*
- Commutative Algebra
- Differential Geometry
- Lie Algebras
- Abelian Varieties*
- Elliptic PDEs*
- Geometric Group Theory*
- Group Cohomology*
- Symplectic Topology
- Toric Varieties
My Part III Essay was titled Quantum Cohomology and the Seidel Representation. See more here
University of Glasgow/Algebra Geometry and Quantum Fields CDT
- Algebraic Geometry
- Geometric Invariant Theory (reading group)
- Gradient Flows
- Riemann Surfaces and their Associated Moduli Spaces
- Topological Quantum Field Theory