Differential Geomety module

Riemannian Geometry  I - II.

Lie Groups and Lie Algebras

Bundles and Connections

Transformation Groups and Symmetric Spaces

Differential Forms

General Structures in Differential Geometry

Geometry and Physics

 

 

Discrete and Convex Geometry  module

Analytic Convexity

Finite Geometries

Combinatorial Convexity

Combinatorial Geometry

Discrete Geometry 1

Mathematical Programming and Convex Geometry

Discrete Geometry 2

Geometry of Numbers

 

 

Discrete mathematics module

Graph Theory

Enumeration

Extremal Combinatorics

Symmetric Combinatorial Structures

Random Structures

 

 

Computer Science module

Combinatorial Algorithms I

Computer Science

Complexity Seminar

Languages and Automata

Data Structures

Algorithms in Geometry

 

 

Set theory module

Set Theory I-IV

 

 

Number theory module

Additive Number Theory

Analytic Number Theory

Combinatorial Number Theory

Exponential Sums In  Number Theory

Computational Number Theory

 

 

Algebra module

Algebraic Geometry

Commutative Algebra

Homological Algebra

Lie Algebras

Non Commutative Rings

Representation theory of algebras  I - II

 

 

Group theory module

Representation Theory of Groups

Permutation Groups

Elementary Group Theory and p-groups

Simple Groups

 

 

Universal Algebra module

Universal Algebra  I - II

Lattice Theory

Algebraic Logic and Relativity

 

 

Ordinary differential equations module

Qualitative Theory of Ordinary Differential Equations  I - II

Infinite Dimensional Dynamical Systems  I - II

 

 

Partial differential equations module

Linear Partial Differential Equations  I - II

Nonlinear Partial Differential Equations  I - II

 

 

Mathematical physics module

Foundations of Modelling

Spacetime Structures

Banach Algebras

Harmonic Analysis

 

 

Functional analysis module

Banach Algebras

C*-algebras

Geometric Functional Analysis

Harmonic Analysis  I - II

Nonlinear Functional Analysis

Operator Extensions

Topological Vector Spaces  I - II

Unbounded Operators

 

 

Algebraic topololgy module

Algebraic Topology 3

Algebraic Topology 4

Algebraic Topology 5

Algebraic Topology 6

 

 

Complex functions module

Geometric Function Theory

Classes of Functions

Riemann Surfaces

Special Functions

Several Complex Variables

Approximation Theory

 

 

Differential topology module

Differential Topology 1

Differential Topology 2

Differential Topology 3

Differential Topology 4

 

 

Real functions module

Real Functions 1

Real Functions 2

Real Functions 3

Real Functions 4

 

 

Introduction to operational research module

Linear programming I

Nonlinear programming I

Integer Programming I

Combinatorial Algorithms I

Game theory

Stochastic optimization

Operations research software

Decision Analysis

 

 

Combinatorial optimization module

Combinatorial Algorithms  I - II

Graph Theory

Combinatorial Optimization Structures

Matroid Theory

Polyhedral Combinatorics

 

 

Continuous optimization module

Linear Programming

Convex Analysis and Optimization

Linear Programming Program Packages

Duality Theory

Interior Point Methods of Linear Programming

Numerical Methods of Nonlinear Programming

Selected Topics of Continuous Optimization

 

 

Discrete optimization module

Scheduling

Approximation Algorithms

Integer Programming  I - II

 

 

Stochastic modeling module

 

 

Probability theory module

Theory of Martingales

Limit Theorems for Independent Variables

Eigenvalue Distribution of Random Matrices

Queueing Systems

 

 

Mathematical statistics module

Foundations of Statistics  I - II

Analysis of Survival Data

Multivariate Statistics  I - II

 

 

Information theory module

Introduction to Information Theory

Data Compressing

Cryptography

Information Theoretical Methods in Statistics

 

 

Stochastic processes module

Markov Chains

Processes with Independent Increments, Stationary and Markov Processes

Optimal Stopping

Parameter Estimation for Stationary Processes

 

 

Stochastic analysis module

Stochastic Analysis

Stochastic Dynamical Systems

Filtration of Stochastic Processes

 

 

Numerical and computer  methods of statistics module

Numerical Methods of Statistics

Computer Methods of Multivariate Statistics

Computer Methods of Time Series Analysis

 

 

System theory module

Theory of Linear Deterministic Systems

Theory of General Deterministic Systems

Theory of Stochastic Systems

Parameter Estimation in Stochastic Systems

 

 

Insurance mathematics module

Life Contingencies

Premium Calculation

Risk Processes

Reinsurance