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Aspiring Cryptographers

Abstract Algebra & Number Theory

6 weeks
0 Learners
Jul 23

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.

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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.

Prerequisites

advanced Level

This is a rigorous course requiring prior technical background.

  • Production engineering experience

Ideal for

Aspiring Cryptographers

Aspiring Cryptographers Professionals
Tech Enthusiasts
W1

Group Theory Basics

Develop an intuitive mental model for Group Theory Basics by comprehensively studying definition and examples and cyclic groups.

2 videos36m
3 readings
2 topics
1 homework
Learn
W2

Subgroups and Cosets

Explore the mechanics of Subgroups and Cosets by comprehensively studying cosets and lagrange's theorem and homomorphisms and normal subgroups.

2 videos29m
3 readings
2 topics
1 homework
Learn
W3

Ring Theory

Explore the mechanics of Ring Theory by comprehensively studying introduction to rings and ideals and quotient rings.

2 videos68m
2 readings
2 topics
1 homework
Learn
W4

Field Theory & Extensions

Master the practical implementation of Field Theory & Extensions by comprehensively studying fields and field extensions.

2 videos27m
3 readings
2 topics
1 homework
Learn
W5

Number Theory Fundamentals

Develop an intuitive mental model for Number Theory Fundamentals by comprehensively studying divisibility and primes.

1 video8m
3 readings
1 topic
1 homework
Learn
W6

Modular Arithmetic & Cryptography

Dive deep into the internals of Modular Arithmetic & Cryptography by comprehensively studying modular arithmetic and rsa cryptography.

2 videos27m
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

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