Domenico ValloniTeaching & PhD Courses Algebraic geometry II - schemes and sheaves MATH-510 The aim of this course is to learn the basics of the modern scheme theoretic language of algebraic geometry.
Alapan MukhopadhyayTeaching & PhD Courses Algebraic geometry II - schemes and sheaves MATH-510 The aim of this course is to learn the basics of the modern scheme theoretic language of algebraic geometry.
Aline ZanardiniTeaching & PhD Courses Advanced linear algebra I MATH-110(b) The purpose of this course is to introduce the basic notions of linear algebra and to prove the main results of the subject. Algebra V - Galois theory MATH-317 Galois theory lies at the interface of Field Theory and Group Theory. It aims to describe the algebraic symmetries of fields. We will focus on Galois theory for finite field extensions and some applications. Algebraic geometry I - Curves MATH-328
Yves MartinTeaching & PhD Past EPFL PhD Students as codirector Francesco Piras, Jonathan Rossel Courses Fusion and industrial plasma technologies PHYS-632 The course provides an overview of the technologies that are essential for fusion developments and for industrial plasmaapplications, highlighting the synergies between the two fields. The aim is to provide a combined theoretical andexperimental background to the various topics.
Stefano CodaTeaching & PhD PhD Students Vincent Masson, Luigi Persico, Ewout Koen L. Devlaminck, Martino Bonisolli, Alessandro Balestri, Mackenzie Peter-Fulford Van Rossem, James Winston Irawati Tumbokon, Salomon Guinchard, Inès Vergara, Michele Bottino Past EPFL PhD Students Alessandro Marinoni, Silvano Gnesin, Cornelis Adrianus de Meijere, Josef Kamleitner, Zhouji Huang, Himank Anand, Pedro Andres Molina Cabrera, Dahye Choi, Federico Pesamosca, Aylwin Iantchenko, Jean Arthur Cazabonne
Laurie PorteTeaching & PhD PhD Students James Winston Irawati Tumbokon, Oliver Morais Moura Past EPFL PhD Students as codirector Matteo Fontana, Pedro Andres Molina Cabrera, Arsène Tema Biwole Courses Atomic and radiative processes in plasmas PHYS-762 The course covers atomic structure, collisional-radiative (CR) processes, and spectroscopic techniques. Students learn to critically apply CR models, evaluate spectroscopic tools, and interpret experimental data obtained in different plasmas.
Giordano FaviExpertise
Research: Non associative Algebra, Category Theory, Triangulated Category Theory, Balmer-Witt Theory, Quadratic Forms in Characteristic 2, Galois Theory, Essential dimension, Tensor Triangular GeometryTeaching: Algebra (Associative, Linear, Commutative or not), Differential Calculus , Algebraic Geometry/Topology, etc.
Current work
Teaching: My current work at EPFL is half time dedicated to teaching mathematics for 1st year students. It is very important to give satisfactory introductory courses
Dimitri Stelio WyssI did my PhD under the supervision of Tamas Hausel at EPFL and the Institue of Science and Technology Austria . From 2017-2019 I was a postdoctoral researcher at the Sorbonne University Paris 6 with François Loeser. Since September 2019 I hold the chair of arithmetic geometry at EPFL as a tenure track assistant professor. For more information see my CV.I work in algebraic and arithmetic geometry. My research uses ideas from p-adic and motivic integration to study the interplay between geometric and arithmet
Leonid MoninTeaching & PhD Courses Algebra III - rings and fields MATH-215 This is an introductory course in ring and field theory. Analysis I (English) MATH-101(en) We study the fundamental concepts of analysis, calculus and the integral of real-valued functions of a real variable. Topology III - Homology MATH-323 Homology is one of the most important tools to study topological spaces and it plays an important role in many fields of mathematics. The aim of this course is
Mathieu HuruguenTeaching & PhD Courses Algèbre linéaire et géométrie (pour MAN) PREPA-032(a) We present the fundamental notions of linear algebra in the geometric context where they emerged. We will therefore emphasize the dimensions 2 and 3, and insist on the visualisation of classical objects and operations in the plane and in the 3D space. Analysis II (for CMS) PREPA-005(a) This class focus on the studies of special functions : trigonometric, logarithmic and exponential functions. Anal
Laurent VillardTeaching & PhD Past EPFL PhD Students Matteo Maccio, Olivier Fischer, Gloria Luisa Falchetto, Paolo Angelino, Sébastien Jolliet, Xavier Lapillonne, Thibaut Vernay, Julien Stanislas Pierre Dominski, Gabriele Merlo, Emmanuel Lanti, Noé Ohana, Moahan Murugappan
Kathryn Hess BellwaldKathryn Hess Bellwald received her PhD from MIT in 1989 and held positions at the universities of Stockholm, Nice, and Toronto before moving to the EPFL.Her research focuses on algebraic topology and its applications, primarily in the life sciences, but also in materials science. She has published extensively on topics in pure algebraic topology including homotopy theory, operad theory, and algebraic K-theory. On the applied side, she has elaborated methods based on topological data analysis for high-throughput screening of nanoporous crystalline materials, classification and synthesis of neuron morphologies, and classification of neuronal network dynamics. She has also developed and applied innovative topological approaches to network theory, leading to a powerful, parameter-free mathematical framework relating the activity of a neural network to its underlying structure, both locally and globally.In 2016 she was elected to Swiss Academy of Engineering Sciences and was named a fellow of the American Mathematical Society and a distinguished speaker of the European Mathematical Society in 2017. In 2021 she gave an invited Public Lecture at the European Congress of Mathematicians. She has won several teaching prizes at EPFL, including the Crédit Suisse teaching prize and the Polysphère d’Or.
Jérôme SchererTeaching & PhD PhD Students Virgile Simon Constantin Past EPFL PhD Students Samuel Lavenir Past EPFL PhD Students as codirector Kay Remo Werndli, Lyne Moser Courses Topology IV.a - Cohomology rings MATH-506 Singular cohomology is defined by dualizing the singular chain complex for spaces. We will study its basic properties, see how it acquires a multiplicative structure and becomes a graded commutative algebra. We study an algebraic version, namely group cohomology, and compare both approa
