![]() ![]() In 1964, he formulated an important conjecture, building on the work of his friend Yutaka Taniyama, that suggested a surprising relation between elliptic and modular curves. This thinking led him to solve many longstanding problems and raise new areas of inquiry. Shimura once said that his guiding philosophy was that many geometric objects have a natural way of being presented other than the conventional mathematical expressions. “Fundamental mathematical truths have long shelf lives, and this is especially true for Shimura's works,” Sarnak said. The Shimura varieties, generalizing elliptic functions with complex multiplication, are at the center of geometric theory, said Peter Sarnak, Princeton’s Eugene Higgins Professor of Mathematics. ![]() “He established many deep and surprising connections between these fields and often seeded research directions with his own pioneering and foundational work.” He was “a true giant in the fields of modern number theory, arithmetic geometry and automorphic forms, whose pioneering papers and ideas have shaped these fields in unmistakable and enduring ways,” said Jonathan Hanke, a visiting lecturer in mathematics at Princeton who was Shimura’s last graduate student. “He was a quiet presence around the department and we will miss him deeply.” “Goro Shimura was a major research mathematician, creative and original and inspiring,” said Robert Gunning, a fellow math professor. ![]()
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