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The great French mathematician, Henri Poincaré (1854 – 1912), was once described as the Last Universalist since he excelled in all areas of mathematics that existed during his lifetime. He is considered one of the founders of the field of topology and his work in the early 20th Century led to his now famous conjecture which states that any simply connected topological shape can be deformed into a sphere. In the case of three-manifolds, the Poincaré Conjecture remained an open question for one hundred years until it was solved in 2003. This presentation looks at Poincaré’s life, his wide-ranging impact on mathematics and physics, and the intriguing quest to solve of the Poincaré Conjecture.