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I shall sketch a brief history of the desingularization problem from Riemann thru Zariski to Hironaka, including the part I played in it and the work on Galois theory which this led me to, and how that caused me to search out many group theory gurus. I shall also formulate several conjectures and suggest numerous thesis problems.doi:10.1090/s0273-0979-00-00892-2 fatcat:t2l4u2iyejggvhvg4jzx4qzyqi