At a meeting of the Algebraic Geometry, Number Theory, and Computation Simons Collaboration, I gave a short talk surveying the results and ideas of Improved bounds on number fields of small degree, joint work with Anderson, Gafni, Hughes, Lemke Oliver, Thorne, Wang, and Zhang.
In many ways this is a follow-up to an earlier talk I gave to the Simons Collaboration about work towards a quantitative form of Hilbert's irreducibility theorem. Both of these results grew out of an AIM workshop.
The slides for this talk are available here.
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