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bio website www2.imperial.ac.uk/~rpanneko
location London, United Kingdom
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visits member for 3 years, 6 months
seen 5 hours ago

I am a postdoc at Imperial College. My interests are rational points on varieties, in particular K3 surfaces and abelian varieties.


Mar
25
revised Can an abelian variety/Q have no non-trivial points over Q_sol?
title asked for something different than the main body
Mar
24
suggested approved edit on Can an abelian variety/Q have no non-trivial points over Q_sol?
Mar
16
accepted Singular models of K3 surfaces
Mar
16
asked Singular models of K3 surfaces
Mar
6
comment Maryam Mirzakhani's works
@Neil Strickland: it's only mathematical Farsi, so you'll pick it up in no time.
Feb
9
awarded  Nice Answer
Feb
9
revised Why does inconstructibility of $\sqrt[3]{2}$ imply impossibility of cube doubling?
deleted 9 characters in body
Feb
9
answered Why does inconstructibility of $\sqrt[3]{2}$ imply impossibility of cube doubling?
Feb
8
comment Why does inconstructibility of $\sqrt[3]{2}$ imply impossibility of cube doubling?
Wait, shouldn't $K$ be the union of all Galois extensions of $2$-power degree over $\mathbb{Q}$? I don't think the set of all algebraic numbers of $2$-power degree forms a field (e.g. any two degree-$4$ subextensions of an $S_4$-extension give rise to a degree-$12$ compositum...).
Jan
19
revised The exponent of Ш of y^2 = x^3 + px, where p is a Fermat prime
change from "\colon" to actual colon
Dec
3
revised rational points of a hyperelliptic curve
added latex
Dec
3
suggested approved edit on rational points of a hyperelliptic curve
Nov
30
suggested rejected edit on p-power roots of unity in local fields
Nov
25
comment Fermat's last theorem over larger fields
I think the answer is yes, since a non-hyperelliptic genus 3 curve is a plane quartic, and every quartic polynomial (in one variable) has solvable Galois group. Nice answer/comment, by the way!
Nov
25
comment Fermat's last theorem over larger fields
Ah, of course, thanks!
Nov
25
comment Fermat's last theorem over larger fields
Just curious, what is the reason for asking about the $n=5$ case specifically? I thought about the $n=4$ case and I couldn't answer that either -- but perhaps you can?
Nov
25
comment Fermat's last theorem over larger fields
(OK, except the trivial rational solutions, that is.)
Nov
25
comment Fermat's last theorem over larger fields
I'm really curious about how you want to apply HIT here! I would think that, on the contrary, no preimage of a rational point will give a Galois point, since you're extracting a fifth root, so you're missing a primitive fifth root of unity in your residue field!
Oct
24
awarded  Disciplined
Oct
23
comment Does every smooth, projective morphism to $\mathbb{C}P^1$ admit a section?
Those are never smooth, I think?