# Stochastics

### Director of the specialization

Konstantin Izyurov

### Person responsible for discussing the study plans

Konstantin Izyurov

### Model study plan

#### Example 1

A student inclined to study Probability on advanced level, possibly with a goal to pursue a Ph. D. in the field.

**Year 1, Autumn**

Probability theory I+II

Functional analysis

Mathematical finance I-II

Optimal stochastic control with applications to finance

**Year 1, Spring**

Topics in Probability I+II

Stochastic Analysis I+II

Introduction to mathematical physics

**Year 2, Autumn**

Malliavin calculus

Spectral theory

Topics in mathematical physics

**Year 2, Spring**

Pro gradu seminar and thesis.

**Example 2 **

A student interested in more applied aspects of Stochastics.

**Year 1, Autumn**

Probability theory I+II,

Risk theory

Financial mathematics I+II

Optimal stochastic control with applications to finance

**Year 1, Spring**

Topics in Probability I

Stochastic Analysis I+II

Advanced risk theory

Tariff theory

**Year 2, Autumn**

Malliavin calculus

Life insurance mathematics

Mathematical modelling

**Year 2, Spring**

Pro gradu seminar and thesis.