As an industry phd student, I work on joint research and development projects of the KIT and the company AiNT. My work focuses on projects in the context of Prompt Gamma Activation Analysis (PGAA), a measurement technique that enables non-destructive material analysis. Applications include environmental analysis and characterization of radioactive waste. My task is the development of algorithms to solve specific mathematical problems for these applications and to implement high-performance software for it. The methods I use include mathematical modelling, transport equations and inverse problems.