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, investigates new combinatorial and geometric structures underlying quantum field theory. The group seeks to elucidate how scattering amplitudes and quantum observables arise from total positivity and positive
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processes, regularity theory of nonlinear degenerate and singular elliptic and parabolic PDEs, free boundary problems, optimal control of free boundary systems with distributed parameters. Current areas
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research utilizing information networks. We focus on maximizing researcher's performances by ensuring efficient network utilization and system/application optimization. Leveraging insights from our
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assimilation, utilizing numerical models and their output datasets. 2. Research and development of methodologies for optimizing the spatial deployment of observation sites and evaluating observational parameters