Course content

Selected topics in analysis, including the interaction between analysis and other areas of mathematics, which are not covered by other courses and which reflect the research interests of the department’s academic staff. The content will vary from year to year, but may include topics within classical and quantum harmonic analysis, several complex variables, operator algebras and non-commutative geometry, as well as analytic number theory.

The course is aimed at students who wish to develop a solid theoretical foundation for further research in analysis.

Learning outcome

(1) Knowledge: The student can provide definitions of key concepts, formulate and prove main results, and discuss examples of topics covered in the course.

(2) Skills: The student can place what they learn in context of both established and new mathematical theory, and apply the techniques learned to problems in mathematical analysis.

(3) Competence: The student can participate in scientific discussions, present results, and is prepared to conduct research in analysis at an international level.

Learning methods and activities

The course will be taught when needed, but is only offered as a guided self-study if there are few PhD students enrolled.

The student participates actively in the course through oral presentations of the syllabus throughout the semester.

Course materials

Will be announced at the start of the course.