71 citations · 84 across the 5 of their papers we have counts for
7 papers
Densities of eigenspaces of Frobenius and distributions of R-modules
Jack Klys, Jacob Tsimerman
For any polynomial over we determine the asymptotic density of hyperelliptic curves over of genus for which $p\left(x\right)…
Learning Latent Subspaces in Variational Autoencoders
Jack Klys, Jake Snell, Richard Zemel
Variational autoencoders (VAEs) are widely used deep generative models capable of learning unsupervised latent representations of data. Such representations are often difficult to…
Moments of unramified 2-group extensions of quadratic fields
Jack Klys
Let be the number of unramified extensions of a quadratic number field with and $\mathrm{Gal}\left(L/\mathbb{Q}\right)=…
The distribution of -extensions of quadratic fields
Brandon Alberts, Jack Klys
We compute all the moments of a normalization of the function which counts unramified -extensions of quadratic fields, where is the quaternion group of order 8, and…
The Distribution of p-Torsion in Degree p Cyclic Fields
Jack Klys
We compute all the moments of the p-torsion in the first step of a filtration of the class group defined by Gerth for cyclic fields of degree p, unconditionally for p=3 and under G…
Reflection principles for class groups
Jack Klys
We present several new examples of reflection principles which apply to both class groups of number fields and picard groups of of curves over . This…