33 citations · 218 across the 26 of their papers we have counts for
4 papers · 1 filter
Security considerations for Galois non-dual RLWE families
Hao Chen, Kristin Lauter, Katherine E. Stange
We explore further the hardness of the non-dual discrete variant of the Ring-LWE problem for various number rings, give improved attacks for certain rings satisfying some additiona…
A family of monogenic quartic fields arising from elliptic curves
T. Alden Gassert, Hanson Smith, Katherine E. Stange
We consider partial torsion fields (fields generated by a root of a division polynomial) for elliptic curves. By analysing the reduction properties of elliptic curves, and applying…
Local-global principles in circle packings
Elena Fuchs, Katherine E. Stange, Xin Zhang
We generalize work of Bourgain-Kontorovich and Zhang, proving an almost local-to-global property for the curvatures of certain circle packings, to a large class of Kleinian groups.…
The Dynamics of Super-Apollonian Continued Fractions
Sneha Chaubey, Elena Fuchs, Robert Hines +1
We examine a pair of dynamical systems on the plane induced by a pair of spanning trees in the Cayley graph of the Super-Apollonian group of Graham, Lagarias, Mallows, Wilks and Ya…