Design and develop complex models and algorithms at the intersection of foundation models/LLMs, optimization and/or game theory. Prove theoretical results in these areas. Design, implement and analyze empirical experiments intended to test the algorithms. Demonstrate scientific eminence by publishing the results of your work in leading scientific journals and conferences and by filing patents. Advocate for your ideas and collaborate with other research scientists and engineers to design the best solution. Possible application of work to real world business scenarios.