Professor Ramkrishna's research group is motivated by ideas in the application of mathematics to solving problems in chemical and biochemical reaction engineering. Such problems involve both model building towards capturing essential behavior of systems, and evolving the theoretical and experimental machinery for the identification of model parameters and phenomenological functions. Their research ideas arise from linear (operator methods) and nonlinear analysis of ordinary and partial differential equations, stochastic processes, and population balance modeling involving integro-partial differential equations. The major thrust is fundamental and inspired generally by key technological issues. Our focus is on problems associated with the production and conservation of energy.