Teaching Analysis II (English) (EN)The course studies fundamental concepts of analysis and the calculus of functions of several variables.Number theory II.a – The circle method (EN)This course aims to introduce the fundamental ideas behind the Hardy-Littlewood circle method.Ergodic theory (EN)This is an introductory course in ergodic theory, providing a comprehensive overlook over the main aspects and applications of this field.Measure theory (EN)This course provides an introduction to the theory of measures and integration on abstract measure spaces.Number theory I.c – Combinatorial number theory (EN)This is an introductory course to combinatorial number theory. The main objective of this course is to learn how to use combinatorial, topological, and analytic methods to solve problems in number theory. Topics in multiplicative number theory (EN)The course covers topics in multiplicative number theory, such as classical theorems on mean -values of multiplicative functions and the more modern developments involving averages in short intervals, the Chowla conjecture and the local uniformity conjecture for the Liouville function. https://edu.epfl.ch/coursebook/en/combinatorial-number-theory-MATH-337