Juhan Aru

This is an introductory course on Gaussian fields and processes - or more shortly, on Gaussian magic. By discussing both the general theory and concrete examples, we will try to understand where and how Gaussian processes appear, and how to study them.

Introduction to random geometry

MATH-531

We will discuss and study several models of random geometry - these are probabilistic models of random curves, surfaces, metrics often stemming from statistical physics and or field theories.

Lattice Gauge Theories

MATH-671

The aim of this course is to learn about lattice gauge theories, but also a bit about their (potential) continuum limits.

Probability

MATH-230

The course is an introduction to probability theory. We aim to introduce the modern formalism (based on the notion of measure), to connect it with the 'intuitive' aspect of probabilities, but also to become familiar with the probabilistic way of thinking.