My research interests broadly concern mathematical foundations of the analysis, modeling and optimization of the design and control of complex systems under uncertainty, including stochastic processes, probability theory, stochastic networks, stochastic optimization, stochastic optimal control, mathematical statistics, stochastic analysis, dynamical systems, optimal transport, graph theory, information theory, mathematics of AI, queueing theory, algorithms, computational mathematics, and stochastic resource allocation/scheduling, as well as their extensive applications in the areas of decision making under uncertainty, data analytics, quantum computing, financial analytics, business analytics and optimization, cybersecurity, health analytics, smarter planet technologies, smart energy/grid technologies, smarter workforce/salesforce, social media analytics, data-centric and cloud computing, computer systems, communication networks and mobile devices, revenue and risk management, and manufacturing and service operations management.