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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
Chinese history (Tang, Song, Liao dynasties), global middle ages, sino-steppe relations, aristocracies, meritocracy, elites, political culture, death ritual, premodern cities, premodern empires, imperialism, ethnicity, nationalism, national identity, social networks, frontiers, boundaries and borderlands, digital methodologies

language, culture, society, literacy, literacy learning of urban youth, African American students in schools, writing development, effective teaching, learning strategies in multicultural urban schools and communities, studies of race - class - and gender, Leaders for Equity and Democracy EdD - LEAD