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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

designed learning environments, Cultural dimensions of learning, language and literacy learning for dual language learners, biliteracy, new media literacies, the social organization of learning, ethnographic methodology and qualitative approaches to inquiry, design experiment/social design experiments, education of Latino, immigrant, migrant youth, urban education, teacher learning, educational and language policy

cognitive development, language development, learning mechanisms, statistical learning and statistical inference, conceptual development, developmental psychology, word learning, physical reasoning, social cognition in infants and children, learning in infants and young children, computational models of cognitive development, cognitive development and AI models, psychology and philosophy