Ila Varma

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20192026

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math.NT2022

Power-saving error terms for the number of $D_{4}$ -quartic extensions over a number field ordered by discriminant

Alina Bucur, Alexandra Florea, Allechar Serrano López +1

We study the asymptotic count of dihedral quartic extensions over a fixed number field with bounded norm of the relative discriminant. The main term of this count (including a summ…

math.NT2019

On unit signatures and narrow class groups of odd degree abelian number fields

Benjamin Breen, Ila Varma, John Voight +1

For an abelian number field of odd degree, we study the structure of its 2-Selmer group as a bilinear space and as a Galois module. We prove structural results and make predictions…

Power-saving error terms for the number of D4​-quartic extensions over a number field ordered by discriminant

On unit signatures and narrow class groups of odd degree abelian number fields

Power-saving error terms for the number of $D_{4}$ -quartic extensions over a number field ordered by discriminant