Mathematics Course Tables (Graduate-MSc and PhD)

Table 1: Core Courses (Mandatory for all students)

Table 2: Optional Courses (Field: Mathematical Analysis)

Prerequisite	Hours			Units			Course name
Prerequisite	Sum	Practice	Theory	Sum	Practice	Theory	Course name
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)

Prerequisite	Hours			Units			Course name
Prerequisite	Sum	Practice	Theory	Sum	Practice	Theory	Course name
Advanced Algebra	64	-	64	4	-	4	Algebraic Logic
-	64	-	64	4	-	4	Modal Logic
Advanced Algebra	64	-	64	4	-	4	Universal Algebra
Advanced Algebra	64	-	64	4	-	4	Category Theory
Advanced Algebra	64	-	64	4	-	4	Algebraic Number Theory
-	64	-	64	4	-	4	Elliptic Curves
Advanced Algebra	64	-	64	4	-	4	Modular Forms
-	64	-	64	4	-	4	Topics in Number Theory
Advanced Algebra	64	-	64	4	-	4	Homological Methods in Commutative Algebra
Homological Methods in Commutative Algebra	64	-	64	4	-	4	Topics in Commutative Algebra
Homological Methods in Commutative Algebra	64	-	64	4	-	4	Local Cohomology
Advanced Algebra	64	-	64	4	-	4	Computational Commutative Algebra
Advanced Algebra	64	-	64	4	-	4	Computational Algebraic Geometry
Homological Methods in Commutative Algebra	64	-	64	4	-	4	Representation Theory of Algebras
Advanced Algebra	64	-	64	4	-	4	Toric Geometry
Advanced Algebra	64	-	64	4	-	4	Tropical Geometry
Homological Methods in Commutative Algebra	64	-	64	4	-	4	Relative Homological Algebra
Homological Methods in Commutative Algebra	64	-	64	4	-	4	Advanced Homological Algebra
Advanced Algebra	64	-	64	4	-	4	Algebraic K-Theory
Advanced Algebra	64	-	64	4	-	4	Group Theory
Group Theory	64	-	64	4	-	4	Permutation Groups
Group Theory	64	-	64	4	-	4	Linear Groups
Group Theory	64	-	64	4	-	4	Representation Theory of Finite Groups

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

Prerequisite	Hours			Units			Course name
Prerequisite	Sum	Practice	Theory	Sum	Practice	Theory	Course name
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
Prerequisite	Sum	Practice	Theory	Sum	Practice	Theory	Course name
-	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