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Caleb Stanford
Caleb Stanford
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This is a very broad question and might be closed for that reason.

Anyways, oneOne problem about decidability that continues to attract a lot of attention is extensions of Hilbert's 10th problem to other rings of number-theoretic interest, especially the rationals $\mathbb{Q}$. See for instance this nice survey paper of Poonen.

This is a very broad question and might be closed for that reason.

Anyways, one problem about decidability that continues to attract a lot of attention is extensions of Hilbert's 10th problem to other rings of number-theoretic interest, especially the rationals $\mathbb{Q}$. See for instance this nice survey paper of Poonen.

One problem about decidability that continues to attract a lot of attention is extensions of Hilbert's 10th problem to other rings of number-theoretic interest, especially the rationals $\mathbb{Q}$. See for instance this nice survey paper of Poonen.

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Sam Hopkins
Sam Hopkins
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This is a very broad question and might be closed for that reason.

Anyways, one problem about decidability that continues to attract a lot of attention is extensions of Hilbert's 10th problem to other rings of number-theoretic interest, especially the rationals $\mathbb{Q}$. See for instance this nice survey paper of Poonen.