Jack Klys
Hi, I am a postdoc in the Department of Mathematics and Statistics at the University of Calgary. I completed my Ph.D. at the University of Toronto. My advisor was Jacob Tsimerman.
My research is primarily in number theory and arithmetic geometry. I am particularly interested in arithmetic statistics and the Cohen-Lenstra heuristics. I have also done research in machine learning, in the areas of generative models and unsupervised learning.
email: jack.klys@ucalgary.ca
office: MS388 (Mathematical Sciences Building)
Publications and Preprints
Densities of eigenspaces of Frobenius and distributions of R-modules (with Jacob Tsimerman) 2019. (preprint)
Moments of unramified 2-group extensions of quadratic fields. 2019. (submitted)
Learning latent subspaces in variational autoencoders (Jack Klys, Jake Snell, Richard Zemel). 2018. 32nd Neural Information Processing Systems
The distribution of H8-extensions of quadratic fields (with Brandon Alberts). 2016. (Int. Math. Res. Notices, to appear)
The distribution of p-torsion in degree p cyclic fields. 2016. (Algebra and Number Theory, to appear)
Reflection principles for class groups. 2017. Journal of Number Theory. 177: 328-352.
Nonstandard methods for bounds in differential polynomial rings. (with Matthew Harrison-Trainor and Rahim Moosa). 2012. Journal of Algebra. 360: 71-86.