Ushashi Bhattacharya

collaborators

2 papers

math.NT2026

The Sphere Packing Problem in Dimension 4 and the Twenty-Four-Cell Conjecture

Deep Bhattacharjee, Ushashi Bhattacharya, Priyabrata Mandal +1

We prove that every Voronoi cell of a unit-ball packing of $R^{4}$ has volume at least $8$ , with equality only at the $D_{4}$ configuration, so that the twenty-four-cell conje…

math.NT2026

Spectral Algebras of Abelian Cayley Graphs

Deep Bhattacharjee, Priyabrata Mandal, Ushashi Bhattacharya

Let $G$ be a finite abelian group of order $N$ , $S \subseteq G ∖ {0}$ a symmetric connection set, and $K$ a field with $c ha r (K) ∤ N$ . The spectral algebra $\mathscr{A…