**Introduction** Do you want to work with top researchers on algorithms and the theoretical underpinnings at the intersection of Generative AI, tensor based computing, classical computing and quantum computing? Our team at IBM Research is looking for an outstanding advanced degree student (M.Sc. or Ph.d.) for a summer internship position to drive forward the state-of-the-art research in the above areas. You will enjoy working with us if you are passionate about carrying out leading edge scientific research with application to real world problems, and love working with a team of researchers who are leaders in their fields. **Your role and responsibilities** * Design and develop complex algorithms for addressing problems requiring high performance computation, such as complex mathematical optimization problems, integrating generative AI, tensor based computing, classical computing and quantum computing. * Prove theoretical results, for example, based on complexity analysis, showing which paradigm is the most suitable for each algorithm component. * Design, implement and analyze empirical experiments for these 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. Locations: * IBM Research Lab, Israel (Haifa University Campus) * IBM Site, Hashahar Tower, Givataim (near Tel Aviv Arlozorov train station) **Required technical and professional expertise** * Studying towards an advanced degree (M.Sc. or Ph.D.) in Applied Mathematics, Computer Science, Operations Research, or other related scientific discipline. * Strong background in one or more of the following: * Generative AI including theoretical understanding of LLMs and/or transformers as used to implement algorithms such as reasoning. * Tensor based computation and algorithms * Classical complexity analysis * Quantum computing algorithms to solve difficult computational problems. * Knowledge in combinatorial optimization an/or applying reinforcement learning to generate solutions to combinatorial optimization problems is a plus (although not mandatory) * Demonstrated ability in proving theoretical results, and designing, implementing, and analyzing numerical experiments. * Working proficiency in Python. * Good communication skills and ability to work in a collaborative team environment Please add your grade sheet to your application