Course Identification

Title:

Introduction to Algebraic Number Theory

Code:

20264012

Lecturers and Teaching Assistants

Lecturers:

Prof. Dmitry Gourevitch

TA's:

N/A

Course Schedule and Location

Year:

2026

Semester:

Second Semester

When / Where:

Wednesday, 10:00 - 13:00, Jacob Ziskind Building, Rm 155

First Lecture:

18/03/2026

End date:

24/06/2026

Field of Study, Course Type and Credit Points

Mathematics and Computer Science: Lecture; Regular; 3.00 points

Comments

N/A

Prerequisites

Linear algebra

Algebraic structures: group, ring, module, basic Galois theory

Restrictions

Participants:

50

Language of Instruction

English

Attendance and participation

Expected and Recommended

Grade Type

Pass / Fail

Grade Breakdown (in %)

Assignments:

80%

Final:

20%

Evaluation Type

Final assignment

Scheduled date 1

Date / due date

N/A

Location

N/A

Time

-

Remarks

N/A

Estimated Weekly Independent Workload (in hours)

5

Syllabus

Gaussian Integers

Integrality

Ideals

Lattices

Minkowski's "geometry of numbers"

Class Number

Dirichlet's unit theorem

Extensions of Dedekind domains

Hilbert's ramification theory

Cyclotomic fields

Localization

Orders

Schemes

Function fields

p-adic numbers

Learning Outcomes

The students will be learn the basics of the algebraic number theory - the language, the terms that are are used everywhere in advanced algebra, the examples and the number-theoretic consequences.

Reading List

Neukirch "Algebraic Number Theory

Website

N/A