# Mathematics Course Tables (Graduate-MSc and PhD)

Table 1: Core Courses (Mandatory for all students)

 Prerequisite Hours Units Course name Sum Practice Theory Sum Practice Theory - 64 - 64 4 - 4 Advanced Algebra - 64 - 64 4 - 4 Real Analysis I - 64 - 64 4 - 4 Geometry of Manifolds - 64 - 64 4 - 4 Algebraic Topology

Table 2: Optional Courses (Field: Mathematical Analysis)

 Prerequisite Hours Units Course name Sum Practice Theory Sum Practice Theory Real Analysis I 64 - 64 4 - 4 Real Analysis II - 64 - 64 4 - 4 Complex Analysis - 64 - 64 4 - 4 Functional Analysis Functional Analysis 64 - 64 4 - 4 Operator Theory Functional Analysis 64 - 64 4 - 4 Banach Algebras Functional Analysis 64 - 64 4 - 4 C*-Algebras Functional Analysis 64 - 64 4 - 4 Operator Algebras Functional Analysis 64 - 64 4 - 4 Topics in Functional Analysis Real Analysis I 64 - 64 4 - 4 Harmonic Analysis I Harmonic Analysis I 64 - 64 4 - 4 Harmonic Analysis II Banach Algebras 64 - 64 4 - 4 Amenability - 64 - 64 4 - 4 Analysis on Semigroups - 64 - 64 4 - 4 Convex Analysis - 64 - 64 4 - 4 Analytic Number Theory

Table 3:  Optional Courses (Field: Algebra)

Table 4: Optional Courses (Field: Geometry & Topology)

 Prerequisite Hours Units Course name Sum Practice Theory Sum Practice Theory Advanced Algebra 64 - 64 4 - 4 Algebraic Geometry Advanced Algebra 64 - 64 4 - 4 Theory of Sheaves and Schemes Algebraic Geometry 64 - 64 4 - 4 Cohomology in Algebraic Geometry Algebraic Geometry 64 - 64 4 - 4 Algebraic Curves and Surfaces Geometry of Manifolds 64 - 64 4 - 4 Riemannian Geometry Algebraic Topology 64 - 64 4 - 4 Stable Homotopy Theory Algebraic Topology 64 - 64 4 - 4 Generalised Homotopy Theories: K-Theory and Cobordism Geometry of Manifolds 64 - 64 4 - 4 Geometric Mechanics

Table 5: Optional Courses (Field: Combinatorics)

 Prerequisite Hours Units Course name Sum Practice Theory Sum Practice Theory - 64 - 64 4 - 4 Advanced Graph Theory - 64 - 64 4 - 4 Combinatorial Analysis - 64 - 64 4 - 4 Algebraic Graph Theory - 64 - 64 4 - 4 Algebraic Combinatorics - 64 - 64 4 - 4 Topics in Combinatorics Advanced Algebra 64 - 64 4 - 4 Monomial Algebras Advanced Algebra 64 - 64 4 - 4 Combinatorial Commutative Algebra - 64 - 64 4 - 4 Coxeter Groups