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  1. Alexander Smith's homepage. Email: asmith13 at math dot ucla dot edu. I'm a mathematician who primarily studies number theory. I'm currently a visiting Clay fellow at UCLA. My CV . An overview of my work with arXiv links can be found here .

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      Alexander Smith. Stanford University Building 380 Stanford,...

  2. Jul 26, 2022 · Alexander Smith. Stanford University Building 380 Stanford, CA 94305 USA Phone: 508-873-0822 Email: asmith13@stanford.edu Born: March 4, 1993. Appointments held. 2020 - 2021NSF Postdoctoral fellow at MIT.

  3. These papers subsume the following two papers. The first of these had already subsumed the second. 2^\infty-Selmer groups, 2^\infty-class groups, and Goldfeld's conjecture (2017), unsubmitted. Governing fields and statistics for 4-Selmer groups and 8-class groups (2016), unsubmitted. I am organizing a learning seminar about this work that will ...

  4. Alexander Smith obtained his PhD in 2020 from Harvard University, where he was advised by Noam Elkies and Mark Kisin. He currently holds a National Science Foundation Postdoctoral Fellowship at the Massachusetts Institute of Technology. Alexander Smith has already solved major problems in number theory and forged a novel research programme that combines ideas from combinatorics […]

  5. Alexander Smith is a 2020 Ph.D. recipient and a 2021 Clay Research Fellow in number theory. He has solved major problems in number theory and combinatorics, and will be based at Stanford University for four years.

  6. Harvard Math graduate student Alexander Smith received the 2019 inaugural David Goss Prize for his contributions to number theory. The prize is named after David Goss, the former editor of the Journal of Number Theory.

  7. The distribution of conjugates of such an integer defines a probability measure on $\Sigma$; our main result gives a necessary and sufficient condition for a given probability measure on $\Sigma$ to be the limit of some sequence of distributions of conjugates. As one consequence, we show there are infinitely many totally positive algebraic ...

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