This is an introduction to modern algebra: groups, rings and fields.
This course deals with group theory, with particular emphasis on group actions and notions of category theory.
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
The course is based on Durrett's text book
Probability: Theory and Examples.
It takes the measure theory approach to probability theory, wherein expectations are simply abstract integrals.
Ring and module theory with a major emphasis on commutative algebra and a minor emphasis on homological algebra.
The student who follows this course will get acquainted with computational tools used to analyze systems with uncertainty arising in engineering, physics, chemistry, and economics. Focus will be on s
Study the basics of representation theory of groups and associative algebras.
L'objectif du cours est d'introduire les notions de base de l'algèbre linéaire et ses applications.
This course consists of two parts. The first part covers basic concepts of molecular symmetry and the application of group theory to describe it. The second part introduces Laplace transforms and Four
After introducing the foundations of classical and quantum information theory, and quantum measurement, the course will address the theory and practice of digital quantum computing, covering fundament
