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mathematical taste ''During my last year in graduate school, William Fulton told me about working with Joe when Joe first moved to Brown University. Fall semester that year Joe taught a topics course on Brill–Noether theory. After reviewing the necessary definitions, Joe begin by working out the theory of special divisors on a genus 2 curve. The next day of class was spent on genus 3 curves, which took up one lecture, and Joe then moved on to genus 4 curves, which took occupied a bit more class time. Fulton said that he expected Joe to soon run out of examples and then state and prove the general Brill–Noether Theorem.Joe continued doing examples until the Thanksgiving break. Right before the break, he was discussing curves whose genus was in the double digits. When he returned from break, he apologized and explained that he had run out of examples. It was only then that he stated and proved the Brill–Noether Theorem. Fulton cited this as an example of Joe’s excellent mathematical taste...'' |
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