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Topics in Algebraic Number Theory


Admission requirements

A thorough mastery of the material in the course Algebraic Number Theory (offered through Mastermath) is required.


This course is a sequel to the Algebraic Number Theory course, and treats the basic theory of local fields. This will include the theory of valuations, extensions, ramification theory, Kronecker-Weber, as well as class field theory.

Course objectives

At the end of this course, the student will be familiar with the local theory of number fields, and master algebraic techniques that provide, besides some immediate applications, an introduction to some contemporary research themes in number theory.


You will find the timetables for all courses and degree programmes of Leiden University in the tool MyTimetable (login). Any teaching activities that you have sucessfully registered for in MyStudyMap will automatically be displayed in MyTimeTable. Any timetables that you add manually, will be saved and automatically displayed the next time you sign in.

MyTimetable allows you to integrate your timetable with your calendar apps such as Outlook, Google Calendar, Apple Calendar and other calendar apps on your smartphone. Any timetable changes will be automatically synced with your calendar. If you wish, you can also receive an email notification of the change. You can turn notifications on in ‘Settings’ (after login).

For more information, watch the video or go the the 'help-page' in MyTimetable. Please note: Joint Degree students Leiden/Delft have to merge their two different timetables into one. This video explains how to do this.  

Mode of instruction

weekly lectures, homework, and exercise classes

Assessment method

Assessment is based on homework (20%) and an oral exam (80%).

Reading List

Course notes and relevant resources will be distributed to students.


From the academic year 2022-2023 on every student has to register for courses with the new enrollment tool MyStudyMap. There are two registration periods per year: registration for the fall semester opens in July and registration for the spring semester opens in December. Please see this page for more information.

Please note that it is compulsory to both preregister and confirm your participation for every exam and retake. Not being registered for a course means that you are not allowed to participate in the final exam of the course. Confirming your exam participation is possible until ten days before the exam.

Extensive FAQ's on MyStudymap can be found here.


Eugenia Rosu (e.rosu[at]
Peter Stevenhagen (