Explore a lecture on the cosmic censorship conjectures in general relativity delivered by Mihalis Dafermos from Princeton University and the University of Cambridge. Delve into key topics such as the first singularity, the wave equation, and cosmic censorship. Examine the proof, class, and Penrose diagram concepts. Gain insights into the twisted ruse work and the Rice and Nordstrom theories. This 81-minute presentation, part of the ICTP School on Geometry and Gravity, offers a comprehensive exploration of advanced concepts in general relativity and their implications for our understanding of the universe.