Choosing between a PhD in Aerospace Engineering at the University of Michigan and Computational & Applied Mathematics at the University of Texas at Austin involves several considerations. The University of Michigan is highly regarded in aerospace engineering, and staying there could be beneficial if the candidate enjoyed their previous experience. The aerospace industry is projected to grow, suggesting strong job prospects for graduates in this field. On the other hand, a degree from UT could offer more flexibility and opportunities in various sectors, particularly in the Sunbelt or West Coast regions. There is a belief that employers in the aerospace and defense sectors may prefer candidates with a dedicated aerospace engineering background over those with applied mathematics degrees. However, skills acquired in applied mathematics can also be valuable, particularly in systems engineering and modeling. Ultimately, the decision should align with personal interests and career aspirations, as both paths can lead to successful outcomes in the aerospace industry.