The Klein Four-Group
Characterising Klein Four-Group (V4) constructions in the group of units of the integers modulo k and lifting these embeddings to the multiplicative semi group of the integers modulo n. Additionally, we explore V4's role in polynomial solvability.
Read PaperAn Algebraic Analysis of Gaussian Numbers
A deep dive into Gaussian numbers and their interplay with the algebraic structure of Gaussian integers. We then leverage these tools to recover classical results such as Fermat's two square theorem and extending this to higher dimensional analogues.
Read PaperAlgebraic Structures in Cryptography
A brief overview paper of the algebraic structures that underpin the RSA Algorithm and Elliptic Curve Cryptography.
Read PaperAutomated Facial Detection using ML
An in-depth review of a variety of ML techniques for automated facial detection.
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