I began studying group theory after enrolling in Math 5105 Modern Algebra I at Missouri S&T, taught by Dr. Clayton Lungstrum. His clear and engaging teaching style made the subject both accessible and inspiring, and I consider him the best instructor I’ve had at this university. While the course provided a strong foundation, much of my deeper understanding came from self-study and working through A First Course in Abstract Algebra by John B. Fraleigh (7th Edition).
My notes include detailed proofs and explanations from the textbook, insights gained from solving problems, and explorations of challenging topics tackled independently. They also feature a dedicated section for problems with solutions and the project report where I contributed to the final proof for the Simplicity of the Alternating Group $A_n$. These sections include notes on number theory and cryptography, topics I studied independently alongside related areas in mathematics and quantum computing.