312.250 (15S) Algebraic Curves
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 cryptographyTopics
- Elliptic and Hyperelliptic Curves
- Algebraic Foundations
- Riemann Roch Theorem
- Zeta Functions
Keywords
algebraic curves; elliptic curve; hyperelliptic curveTeaching 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 schemePosition 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)
-
Zahlentheorie (
2.0h VK / 4.0 ECTS)
-
Subject: Information and System Security
(Compulsory elective)
- 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)
-
Mathematische Methoden der Kryptologie (
2.0h VK / 4.0 ECTS)
-
Subject: Information and System Security
(Compulsory elective)
- 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)
-
Weitere Lehrveranstaltungen aus dem Spezialisierungsfach (
4.0h XX / 8.0 ECTS)
-
Subject: Informations- und Systemsicherheit
(Compulsory subject)
- 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)
-
Algebraische Kurven (
3.0h VO / 6.0 ECTS)
-
Subject: Diskrete Mathematik
(Compulsory elective)
Equivalent courses for counting the examination attempts
-
Sommersemester 2019
- 312.250 VO Algebraic Curves (3.0h / 6.0ECTS)