Biography
I am an Instructor of Data Science and Mathematics at Louisiana State University, working at the intersection of mathematics, machine learning, and real-world applications. My research focuses on topological deep learning and higher-order neural networks, with an emphasis on developing mathematically grounded architectures for complex, structured data arising in cyber-physical and dynamical systems.
I am particularly interested in the Koopman operator framework for analyzing nonlinear dynamical systems. My work explores data-driven approaches for approximating Koopman semigroups and leverages tools from functional analysis, dynamical systems theory, and operator theory to bridge rigorous mathematical foundations with modern machine learning methodologies.