Aidan W. Murphy

Renowned for innovative teaching in the field of mathematics, Aidan W. Murphy is a Visiting Assistant Professor at Virginia Tech. With a keen interest in the theory of error-correcting codes, his research primarily delves into algebraic geometry codes and locally recoverable codes. His work is pivotal in extending results from Hermitian-lifted codes to more general norm-trace curves, as well as other families of curves employed in algebraic coding theory. Professor Murphy's academic journey is marked by a dedication to advancing the understanding and application of error-correcting codes. His research is not only theoretical but also has practical implications, particularly in the realm of data transmission and storage. By exploring fractional decoding methods for curve-lifted codes, he aims to enhance the efficiency of error correction, thereby reducing the amount of data needed for accurate recovery. His innovative approach leverages the properties of field traces to correct errors, which is a significant contribution to the field of coding theory. This method holds promise for improving the reliability of data communication systems, making them more robust against errors while minimizing the need for extensive data downloads. In addition to his research, Professor Murphy is committed to fostering a dynamic learning environment for his students. He integrates his research insights into his teaching, providing students with a comprehensive understanding of both the theoretical and practical aspects of mathematics. His passion for the subject and dedication to student success make him a valued member of the Virginia Tech academic community. Professor Murphy continues to collaborate with fellow researchers and contribute to the broader mathematical community through publications and presentations at conferences. His work not only advances the field of error-correcting codes but also inspires the next generation of mathematicians to explore new frontiers in this ever-evolving discipline.