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location Mexico
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PhD student. I work on non-commutative Iwasawa Theory.

Mar
22
awarded  Nice Question
Sep
15
awarded  Nice Question
Jun
12
awarded  Popular Question
May
13
comment Diameter-area ratio for affine tranformations.
I guess $F$ must have positive area. This is trivialy false if $F$ is a line segment.
May
6
awarded  Yearling
May
6
comment Galois group of constructible numbers
Thanks for pointing me to this bibliography, I have a lot to read now.
May
6
comment Galois group of constructible numbers
Thanks @Chandan Singh Dalawat and @François Brunault for your enlightening comments.
May
6
accepted Galois group of constructible numbers
May
6
awarded  Nice Question
May
6
awarded  Commentator
May
6
revised Galois group of constructible numbers
added detail; added 170 characters in body
May
6
comment Galois group of constructible numbers
@Brunault so (correct me if I'm wrong) it must contain the field generated by the Tate module $T_2(A)$ for every abelian variety $A$ of dimension $2n$ such that the Galois group is $\mathrm{GL}_{2n}(\mathbb{Z}_2)$. That looks like a nice result.
May
6
comment Galois group of constructible numbers
@Chandan Singh Dalawat Yes, in fact $\mathrm{Gal}(K_{n+1}/K_n)$ is isomorphic to a countable product of copies of the group of order two. But already $\mathrm{Gal}(K_2/K_0)$ seems difficult to me, it properly contains the field $K_0(\sqrt[4]{K_0})$ which has Galois group over $K_0$ isomorphic to the semidirect product of $\mathbb{Z}/2\mathbb{Z}$ by a countable product of copies of $\mathbb{Z}/4\mathbb{Z}$
May
6
revised A characterization of convexity
corrected spelling
May
6
revised Galois group of constructible numbers
corrected spelling
May
6
comment Galois group of constructible numbers
I should have written complex numbers instead of lengths since length does mean positive real numbers, I just edited accordingly. I meant to include all those numbers, the last paragraph wouldn't be right with my original definition of $\mathcal{C}$.
May
6
revised Galois group of constructible numbers
corrected a mistake in the formulation of the question
May
6
asked Galois group of constructible numbers
Jul
7
awarded  Good Question
Mar
14
awarded  Yearling