Philippe Michel

EPFL SB MATH TAN
MA C3 634 (Bâtiment MA)
Station 8
1015 Lausanne

Web site:  Web site:  https://tan.epfl.ch

Web site:  Web site:  https://sma.epfl.ch/

EPFL CIB
GA 3 34 (Bâtiment GA)
Station 5
1015 Lausanne

Web site:  Web site:  https://bernoulli.epfl.ch

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Teaching & PhD

Teaching

Mathematics

Courses

Algebra V - Galois theory

Galois theory aims at describing the algebraic symmetries of fields. After reviewing the basic material (from the 2nd year course "Ring and Fields") and in particular the Galois correspondence, we will describe applications to classical problems as well as more advanced developments.

Lie groups

We will discuss the basic structure of Lie groups and of their associated Lie algebras along with their finite dimensional representations and with a special emphasis on matrix Lie groups.

Number theory I.a - Algebraic number theory

Algebraic number theory is the study of the properties of solutions of polynomial equations with integral coefficients; Starting with concrete problems, we then introduce more general notions like algebraic number fields, algebraic integers, units, ideal class groups...

Advanced analytic number theory

We will present the work of James Maynard (MF 2022) on the existence of bounded gaps between primes