Explore the universal patterns of critical transitions in diverse systems, from jazz ensembles to mathematical problem-solving, in this thought-provoking talk by SFI Fellow Tyler Marghetis. Delve into the similarities between creative leaps in mathematics and improvisational shifts in music, examining how collectives at various scales experience sudden changes and breakthroughs. Investigate early warning signs of inspiration, the role of the body in thought, and the concept of "aha moments" across different domains. Discover insights on topics such as distributed cognition, the relationship between improvisation and trauma, and the potential death of genre. Gain a deeper understanding of complex systems, creativity, and innovation through discussions on burstiness, virality, and the characteristics of healthy mathematical ecosystems.