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Topics in Algebraic Number Theory

Vak
2024-2025

information from last year

Admission requirements

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

Description

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.

Timetable

In MyTimetable, you can find all course and programme schedules, allowing you to create your personal timetable. Activities for which you have enrolled via MyStudyMap will automatically appear in your timetable.

Additionally, you can easily link MyTimetable to a calendar app on your phone, and schedule changes will be automatically updated in your calendar. You can also choose to receive email notifications about schedule changes. You can enable notifications in Settings after logging in.

Questions? Watch the video, read the instructions, or contact the ISSC helpdesk.

Note: Joint Degree students from Leiden/Delft need to combine information from both the Leiden and Delft MyTimetables to see a complete schedule. This video explains how to do it.

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.

Registration

As a student, you are responsible for enrolling on time through MyStudyMap.

In this short video, you can see step-by-step how to enrol for courses in MyStudyMap.
Extensive information about the operation of MyStudyMap can be found here.

There are two enrolment periods per year:

  • Enrolment for the fall opens in July

  • Enrolment for the spring opens in December

See this page for more information about deadlines and enrolling for courses and exams.

Note:

  • It is mandatory to enrol for all activities of a course that you are going to follow.

  • Your enrolment is only complete when you submit your course planning in the ‘Ready for enrolment’ tab by clicking ‘Send’.

  • Not being enrolled for an exam/resit means that you are not allowed to participate in the exam/resit.

Contact

Eugenia Rosu (e.rosu[at]math.leidenuniv.nl)
Peter Stevenhagen (psh@math.leidenuniv.nl)

Remarks

Software
Starting from the 2024/2025 academic year, the Faculty of Science will use the software distribution platform Academic Software. Through this platform, you can access the software needed for specific courses in your studies. For some software, your laptop must meet certain system requirements, which will be specified with the software. It is important to install the software before the start of the course. More information about the laptop requirements can be found on the student website.