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knowledge representation, adaptive learning, artificial intelligence, learning analytics, Recommender Systems, higher education, data science, Digital Learning Environments, cognitive modeling, Big Data in Education, Knowledge Tracing, Formative Assessment, intelligent tutoring systems, Online Learning, psychometrics, Educational Data Mining

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

physics, theoretical condensed matter, topological phase transitions, high-temperature superconductivity, organization principles enabling microscopic degrees of freedom to behave cooperatively, matter and their formation mechanisms, low dimensional quantum magnets, strongly correlated Fermi and Bose fluids