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Gravitational-waves are a new way to explore the sky and uncover the Universe’s deepest mysteries. Although the first detection of these "ripples of space-time" is only a few years old, scientists can now harness the potential of gravitational waves in testing Einstein’s General Relativity theory under extreme conditions, helping to understand the origin of matter, and measuring the evolution of the Universe. Researchers from all around the world are gathering in Oaxaca to discuss recent progress in, and the future of gravitational-wave science. The workshop "Detection and analysis of gravitational waves in the era of multi-messenger astronomy: From mathematical modelling to machine learning", provides a forum, unique in its genre, for discussing new mathematical methods in modelling, detecting, and analyzing gravitational waves, as well as their integration with machine learning, or artificial intelligence.