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large random combinatorial structures, random matrices, superprocesses & other measure-valued processes, probability on algebraic structures -particularly local fields, applications of stochastic processes to biodemography, mathematical finance, population genetics, phylogenetics & historical linguistics

computer graphics, fluid dynamics, computer simulation, physically based animation, finite element simulation, human perception, image forensics, video forensics, computer animation, special effects for film, video game technology, motion capture, machine learning, facial animation, artificial intelligence, geometric algorithms, geometric design and modeling