Nihar Gargava

activity

20212026

most citedDense packings via lifts of codes to division rings

2 citations · 2 across the 10 of their papers we have counts for

collaborators

Showing 2026Show all

2 papers · 1 filter

math.NT2026

A cyclotomic gluing construction for lattice sphere packings

Nihar Gargava, Matthias Gröbner, Michael Simkin

For a positive integer $d$ , let $Δ_{d}^{L}$ denote the supremum of the densities of lattice sphere packings in $R^{d}$ . We prove that, for every sufficiently large $d$ , $Δ_d^L \g…

math.MG2026

On two counterexamples in the geometry of numbers

Nihar Gargava

We give counterexamples to two optimization problems in dimensions eight and nine. 1. The Cartesian-product problem posed by Cassels for critical determinants and later formulated…