IBM offers Fellowships for research in the mathematical and computer sciences at the IBM Thomas J. Watson Research Center. Areas of research include: algorithms (approximation, randomized, and on-line); complex systems; data mining (machine learning, pattern recognition, computational statistics); dynamical systems; high-performance computing (scientific computing, parallel computing, big-data); inverse problems; numerical analysis; optimization (discrete, continuous, global and stochastic); probability theory (stochastic models, risk management, queues & queuing networks); statistics (time-series, multivariate analysis, spatiotemporal analysis, design & reliability); simulation; and operations management (revenue management, pricing, performance modelling, supply-chain). The Fellowship is for one year and may be extended for a second year. For more information, see
here.