Group Theory
Zoom Class
A rigorous introduction to algebraic structures, symmetry, and transformation groups.
Understand
Transformations
& Symmetries
Develop rigorous proof skills and deep intuition for algebraic symmetries. By the end of this course, you will be able to classify groups, understand homomorphisms, and apply group-theoretic reasoning to real-world problems in physics, chemistry, and cryptography.
"Group Theory is the language of symmetry. By the end of this Zoom class, you will read, write, and speak that language fluently."
Prof. Elena Vance
Ph.D. Mathematics · Algebraic Geometry
Zoom Classroom
Every Wednesday · 90 min live sessions. Interactive whiteboard, live Q&A, and breakout sessions included.
Small Cohort
Limited to 25 students. Personalized feedback and rich peer discussion in every session.
Beginner Friendly
Beginner-friendly with proof-based approach. No prior abstract algebra required, just curiosity and dedication.
What Students Will Learn
A carefully curated journey from foundational axioms to powerful modern applications.
Symmetry & Structure
Understand groups as symmetry objects. Learn to identify cyclic, dihedral, and symmetric groups through concrete geometric and combinatorial examples.
Subgroups & Cosets
Master Lagrange's theorem, normal subgroups, and quotient groups. Build fluency with coset decomposition and the isomorphism theorems.
Real-World Applications
Apply group theory to crystallography, molecular symmetry, Rubik's cube permutations, and error-correcting codes in modern cryptography.
Secure your spot
in the upcoming
Group Theory cohort.
Starts January 15, 2026 at 18:00 UTC · Live on Zoom