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18
Which mathematical ideas have done most to change history?
27
Mathematical habits of thought and action which would be of use to non-mathematicians
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Why are modular forms interesting?
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The current status of the Birch & Swinnerton-Dyer Conjecture
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Value of “of course” in the mathematical literature
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Unmathematical habits of thought and action which would be of use to mathematicians
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Choosing postdocs
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Published results: when to take them for granted?
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Citing papers that are in a language that you do not read.
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Why is “h” the notation for class numbers?
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Should one attack hard problems?
4
Langlands in dimension 2: the Yoshida conjecture
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Conceptual understanding of the Gross-Zagier theorem.
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What is the “reason” for modularity results?
4
Special values of $p$-adic $L$-functions.
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On proving that a certain set is not empty by proving that it is actually large
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Arithmetic geometry examples
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p-adic L-functions
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Are there motives which do not, or should not, show up in the cohomology of any Shimura variety?
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Iwasawa main conjectures vs Bloch-Kato conjectures
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what is an Euler system and the motivation for it?
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Can you show rank E(Q) = 1 exactly for infinitely many elliptic curves E over Q without using BSD?
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Topics for an Undergraduate Expository Paper in Number Theory
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Stark’s conjecture and p-adic L-functions
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non-commutative iwasawa theory
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Are Kato’s zeta elements integral?
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BSD for modular forms
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A question about Iwasawa Theory
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Biographic Data/Stories about André Néron
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