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My main research interests are in quantum field theory, relativity, and the interplay between them. Right now, I am focusing on developing theoretical frameworks that more closely describe experiments to explore the various playgrounds available as analogue gravity systems. In order to get closer to unifying the original theory and the experiments, finite-size effects, non-zero background temperatures and modified dispersion relations such as those describing Bose-Einstein condensates and surface waves must be taken into consideration. In particular, I employ techniques from real and complex analysis, QFT (in curved spacetimes), relativity and fluid dynamics.