EulerFold
ToolsGeneratorPlannerPractice
Research & LibraryResearchArticlesLibraryLeaderboard
PlatformAboutPricing
Get Started
Aspiring Cryptographers

Abstract Algebra & Number Theory

6 weeks
0 Learners
eulerfoldeulerfold
Jul 23

“The mathematical foundation required for understanding Homomorphic Encryption and advanced cryptography.”

Share:

What you'll learn

Define and analyze Groups, Rings, and Fields
Apply Lagrange's Theorem
Compute modular arithmetic and use the Euclidean Algorithm
Understand the basics of cryptography like RSA

Prerequisites

Level

W1

Group Theory Basics

2 videos•36m
3 readings
2 topics
1 homework
Learn

Topics

1.1
Definition and Examples
18 minutes
1.2
Cyclic Groups
18 minutes

Study Resources

→What Is a Cryptographer? 2026 Career Guide | Coursera→Cryptographer Career Path, Skills & Advice 2026→Cryptographer Career Guide 2026: Role, Skills, and Insights
W2

Subgroups and Cosets

2 videos•29m
3 readings
2 topics
1 homework
Learn
W3

Ring Theory

2 videos•68m
2 readings
2 topics
1 homework
Learn
W4

Field Theory & Extensions

2 videos•27m
3 readings
2 topics
1 homework
Learn
W5

Number Theory Fundamentals

1 video•8m
3 readings
1 topic
1 homework
Learn
W6

Modular Arithmetic & Cryptography

2 videos•27m
3 readings
2 topics
1 homework
Learn
01

Learn

Watch curated videos and read study resources

02

Practice

Practice what you learned

03

Build Projects

Build projects using your new gained knowledge

04

Submit & Verify

Submit your project and get verified by our system

References

01What Is a Cryptographer? 2026 Career Guide | Coursera
02Cryptographer Career Path, Skills & Advice 2026
03Cryptographer Career Guide 2026: Role, Skills, and Insights
04Introduction to cosets and normal subgroups
057 Cosets Tutorial
06Subgroups, Cosets and Lagrange’s Theorem - HackMD
07Hire Ring Theory Tutors | Get 24/7 Homework Help & Online Tutoring
08What Is Cryptography? How To Become A Cryptographer? (2026)
09Cryptology - I: Appendix D - Review of Field Theory
10(PDF) Modern Cryptography - Theory and Practice - Academia.eduThe Complete Roadmap to Master Cryptography From Beginner to ...Cryptography Learning Website ProjectCryptography Documentation
11Cryptography Documentation
12An Introduction to Number Theory with Cryptography... - WeLib
13Cryptography Tutorial - Modular Arithmetic - TI89
14Modular Arithmetic and Cryptography - mathforengineers.com
15Cryptography for the Everyday Developer: Modular Arithmetic

Rate this course

0.0
0 reviews

Help the community find verified technical paths.

Community Insights

0

Join the discussion

Sign in to share your thoughts and technical insights.

Loading insights...