The singularity problem in string theory

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We review the current status of the singularity problem in string theory for non-experts. After the problem is discussed from the point of view of supergravity, we discuss classic examples and recent examples of singularity resolution in string theory.
16 pages, 6 figures, LaTeX; v2: added discussion and references; Based on lectures presented at "Frontier of Cosmology and Gravitation" (April 25-27 2001, YITP), "QFT2001" (July 16-19 2001, YITP), and the Fall Meeting 2001 of the Physical Society of Japan (Sep. 22-25 2001)

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