Juhan Aru

Teaching & PhD PhD Students Johann Williams, Xiao Han, Philémon Bordereau Past EPFL PhD Students Guillaume Charles Woessner, Aleksandra Korzhenkova Courses Analysis IV MATH-206 At its core, it is a functional analysis course for physicists and covers the basics of measure theory, function spaces and linear operators. Gaussian processes MATH-426 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. Awards SMA prix d'enseignement EPFL 2020