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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