This course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex domains under discontinuous group actions, as algebraic ...
This course aims to introduce the transport behaviors of micron-size systems, emphasizing learning about recent path-breaking experiments on 2D systems such as Graphene and other vad der Waala materials. The course will also introduce the concept of topolo ...
This course presents modern aspects of theoretical condensed matter physics with interfaces to statistical physics, quantum information theory, quantum field theory and quantum simulation. ...
On étudie des notions de topologie générale: unions et quotients d'espaces topologiques; on approfondit les notions de revêtements et de groupe fondamental,et d'attachements de cellules et on démontre le Théorème de Seifert-van Kampen. Des exemples de surf ...
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. ...
Algebraic geometry is the common language for many branches of modern research in mathematics. This course gives an introduction to this field by studying algebraic curves and their intersection theory. ...
Non-positive curvature is a fundamental aspect of geometry appearing in Euclidean spaces, hyperbolic spaces, trees, buildings and many more spaces. We study it with the general but powerful tool of CA ...
This course introduces the elementary topological concepts and tools that recently spread from condensed matter physics to various quantum and classical wave systems. ...
Series of lectures covering the use of electron spectroscopy for the study of the electronic and atomic structure of surfaces, nanostructures, and quantum materials. Special attention is given to various forms of photoelectron spectroscopy and to spin dete ...