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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

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

biogeochemistry, iron reduction, metals and contaminants, soil aggregates, selenium kinetics of organic matter degradation, nitrate reduction, soil and environmental biogeophysics, biogeochemical cycles, fate and transport of nutrients, sulfate reduction, wetland soils, littoral sediments, spatial variation in biogeochemical processes