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physics, condensed matter physics, fullerenes, condensed matter experiments, characterize novel materials with unusual electronic and magnetic ground states, low-dimensional and nanoscale structures, superconductors, giant magnetoresistance materials, nanotubes, graphene, boron nitride nanostructures, neural probes, NEMS (nanoelectromechanical systems)

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

attosecond physics, attosecond chemistry, ultrafast spectroscopy, ultrafast laser, atomic and molecular dynamics, semiconductors, quantum materials, high harmonic generation, soft x-ray, charge transfer, charge migration, nonadiabatic dynamics, conical intersection, carrier dynamics, phonon dynamics, spin dynamics, core exciton dynamics

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