312.250 (15S) Algebraic Curves

Sommersemester 2015

Registration deadline has expired.

First course session
03.03.2015 14:00 - 16:00 N.2.01 On Campus
... no further dates known

Overview

Lecturer
Course title german Algebraische Kurven
Type Lecture
Hours per Week 3.0
ECTS credits 6.0
Registrations 8
Organisational unit
Language of instruction German
Course begins on 01.03.2015

Time and place

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Course Information

Intended learning outcomes

After succesful completion of this course, students know the mathematical foundations of algebraic curves and are able to translate this knowledge to solving problems on such curves.

Teaching methodology including the use of eLearning tools

Lecture.

Course content

Introduction to the theory of algebraic curves with a view towards applications in cryptography

Topics

  • Elliptic and Hyperelliptic Curves
  • Algebraic Foundations
  • Riemann Roch Theorem
  • Zeta Functions

Keywords

algebraic curves; elliptic curve; hyperelliptic curve

Teaching objective

To understand the mathematical foundations of algebraic curves and to apply them to concrete questions for concrete classes of curves.

Prior knowledge expected

Algebraic Structures.

Literature

See Moodle.

Examination information

Im Fall von online durchgeführten Prüfungen sind die Standards zu beachten, die die technischen Geräte der Studierenden erfüllen müssen, um an diesen Prüfungen teilnehmen zu können.

Examination topic(s)

Contents of the course.

Assessment criteria / Standards of assessment for examinations

Oral exam.

Grading scheme

Grade / Grade grading scheme

Position in the curriculum

  • Master's degree programme Applied Informatics (SKZ: 911, Version: 13W.1)
    • Subject: Information and System Security (Compulsory elective)
      • Zahlentheorie ( 2.0h VK / 4.0 ECTS)
        • 312.250 Algebraic Curves (3.0h VO / 6.0 ECTS)
  • Master's degree programme Applied Informatics (SKZ: 911, Version: 13W.1)
    • Subject: Information and System Security (Compulsory elective)
      • Mathematische Methoden der Kryptologie ( 2.0h VK / 4.0 ECTS)
        • 312.250 Algebraic Curves (3.0h VO / 6.0 ECTS)
  • Masterstudium Informatik (SKZ: 921, Version: 09W.1)
    • Subject: Informations- und Systemsicherheit (Compulsory subject)
      • Weitere Lehrveranstaltungen aus dem Spezialisierungsfach ( 4.0h XX / 8.0 ECTS)
        • 312.250 Algebraic Curves (3.0h VO / 6.0 ECTS)
  • Master's degree programme Technical Mathematics (SKZ: 401, Version: 13W.1)
    • Subject: Diskrete Mathematik (Compulsory elective)
      • Algebraische Kurven ( 3.0h VO / 6.0 ECTS)
        • 312.250 Algebraic Curves (3.0h VO / 6.0 ECTS)

Equivalent courses for counting the examination attempts

Sommersemester 2019
  • 312.250 VO Algebraic Curves (3.0h / 6.0ECTS)