Mathematical physics is a discipline that combines mathematics and physics, focusing on the mathematical methods used to solve complex physical problems. It involves rigorous analytical techniques, such as solving partial differential equations and performing integral transforms, which are essential for addressing challenges that are too complicated for traditional physics approaches. The field is distinct from theoretical physics, as mathematical physicists often prioritize proofs and mathematical rigor, while theoretical physicists aim for results that can be empirically tested.Careers in mathematical physics can vary, but many consider academia, such as becoming a professor, to be a notable path. However, there are other career opportunities available, especially in research and development roles that leverage advanced mathematical techniques to solve real-world problems. The discussion highlights the importance of understanding the differences between mathematical physics and theoretical physics, as well as the potential career trajectories one can pursue with a degree in mathematical physics.