2 citations · 2 across the 10 of their papers we have counts for
4 papers · 1 filter
Module lattices and their shortest vectors
Nihar Gargava, Vlad Serban, Maryna Viazovska +1
We study the shortest vector lengths in module lattices over arbitrary number fields, with an emphasis on cyclotomic fields. In particular, we sharpen the techniques of arXiv:2308.…
Integral Matrices of Fixed Rank over Number Fields
Nihar Gargava, Vlad Serban, Maryna Viazovska +1
We prove an asymptotic formula for the number of fixed rank matrices with integer coefficients over a number field K/Q and bounded norm. As an application, we derive an approximate…
Buildings for Synthesis with Clifford+R
Mark Deaconu, Nihar Gargava, Amolak Ratan Kalra +2
We study the problem of exact synthesis for the Clifford+R gate set and give the explicit structure of the underlying Bruhat-Tits building for this group. In this process, we also…
Density of shapes of periodic tori in the cubic case
Nguyen-Thi Dang, Nihar Gargava, Jialun Li
Consider the compact orbits of the action of the diagonal group on , the so-called periodic tori. Fo…