As a PhD Candidate my recent and current research is in the field of applied mathematics and computational physics. I am solving wave related problems numerically with the aim of minimizing computational costs and still maintaining good accuracy. There is a wide range of applications including experimental solid state physics, medical and geological modeling, telecommunication and machine learning as well as seismic imaging. It is a promising research field, since the wave equation is one of the most influential equation. More recently, I have been dealing with optimization problems. The result is a very sophisticated optimization method that could lead to a paradigm shift in many areas of research and industry. Both fields, wave propagation and optimization, give me the chance to get a deeper understanding of fundamental natural processes.