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algebraic complexity, with emphasis on GCT, border complexity, Waring/tensor rank, and connections to representation theory and algebraic geometry. Publish research outcomes in leading venues in theoretical
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using matrix product states (MPS) and broader tensor-network techniques (MPS/TEBD/DMRG, PEPS where relevant). This benchmarking pipeline is essential: it quantifies accuracy, identifies the regimes where
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] - Dynamical Mean-Field Theory (DMFT) and Density Functional Theory (DFT) - Density Matrix Embedding Theory (DMET) - Density Matrix Renormalization Group (DMRG) - Quantum Monte Carlo (QMC) - Tensor network
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