Explore the enigmatic nature of the Big Bang singularity in this 45-minute lecture presented at IPAM's Workshop on Mathematical and Numerical Aspects of Gravitation. Delve into Einstein's equations, generalized Kasner solutions, and singularity theorems as the speaker unravels the complexities surrounding the origin of our universe. Gain insights into heuristics, current knowledge, and proof methods related to this cosmic phenomenon. Examine the stability of Kasner singularities and discover the key ingredients that contribute to our understanding of the Big Bang. Enhance your grasp of gravitational physics and cosmology through this thought-provoking presentation delivered by a Princeton University researcher.