Abstract Algebra & Number Theory
Master the absolute fundamentals of Abstract Algebra & Number Theory through hands-on technical deep dives. Rather than skimming surface-level tutorials, this track enforces rigorous conceptual understanding and practical implementation. Expect to walk away with a profound mastery of the underlying architecture and the ability to solve complex engineering challenges.
About this Course
The mathematical foundation required for understanding Homomorphic Encryption and advanced cryptography. This Aspiring Cryptographers curriculum is designed to give you hands-on experience and deep conceptual understanding.
Across 6 intensive modules, you'll tackle real-world challenges and build practical projects that reinforce your learning. By the end of this journey, you'll have the skills and proof of work to demonstrate your expertise.
What you'll learn
Master the underlying architecture and practical applications of Group Theory Basics.
Master the underlying architecture and practical applications of Subgroups and Cosets.
Master the underlying architecture and practical applications of Ring Theory.
Master the underlying architecture and practical applications of Field Theory & Extensions.
W1
Group Theory Basics
Group Theory Basics
Develop an intuitive mental model for Group Theory Basics by comprehensively studying definition and examples and cyclic groups.
2 videos•36m
3 readings
2 topics
1 homework
Topics
1.1
Ring Theory | Commutative Ring | Ring With Unity | Definition/Examples/Properties
Definition and Examples
18 minutes
1.2
Algebraic Structure|Group Theory| Discrete Mathematics|Lecture 05|Cyclic Group|Subgroups
Cyclic Groups
18 minutes
References
Week 1: Group Theory Basics
Week 2: Subgroups and Cosets
Week 3: Ring Theory
Week 4: Field Theory & Extensions
01
Cryptology - I: Appendix D - Review of Field Theory
cise.ufl.edu02
(PDF) Modern Cryptography - Theory and Practice - Academia.eduThe Complete Roadmap to Master Cryptography From Beginner to ...Cryptography Learning Website ProjectCryptography Documentation
academia.edu03
Cryptography Documentation
cryptography.ioWeek 5: Number Theory Fundamentals
Rate this course
Community Insights
0Join the discussion
Sign in to share your thoughts and technical insights.
Loading insights...