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Heisuke Hironaka

Heisuke Hironaka was a mathematician renowned for solving a major problem in algebraic geometry: proving that singularities (irregular points) of algebraic varieties can always be systematically simplified through a process called resolution of singularities. His groundbreaking work, completed in 1964, provides a method to "smooth out" these complex shapes, making them better understood and easier to study. This achievement not only advanced mathematics but also impacted fields like number theory and complex geometry, establishing Hironaka as a leading figure in his field and earning him the Fields Medal in 1970.