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My talk will start with a short introduction highlighting the relevance of Gravitational Waves (GWs), both resolvable and Stochastic GW Backgrounds (SGWBs), for cosmology. I will proceed by summarizing detection techniques and prospects with future interferometers. The bulk of my seminar focuses on describing some of my recent works (e.g., 2203.00566, 2112.06903) that show the ability of GWs to constrain fundamental/high-energy physics. The last part of my seminar will be devoted to conclusions and future perspectives for the research field.