Mathematics Course Tables (Graduate-MSc and PhD) 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)

Prerequisite

Hours

Units

Course name

Sum

Practice

Theory

Sum

Practice

Theory

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

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