Arjun Nigam

collaborators

3 papers

math.NT2022

Sphere Packing Densities of Sublattices of the Mordell-Weil Lattices of two Families of Elliptic Curves

Arjun Nigam

In this paper, we examine certain maximal rank sublattices of the Mordell-Weil lattices of two families of elliptic curves over fields of characteristic $p > 0$ . We compute explici…

math.NT2022

$k$ -Diophantine $m$ -tuples in Finite Fields

Trajan Hammonds, Seoyoung Kim, Steven J. Miller +4

In this paper, we define a $k$ -Diophantine $m$ -tuple to be a set of $m$ positive integers such that the product of any $k$ distinct positive integers is one less than a perfect squ…

math.CO2020

Filtering cohomology of ordinary and Lagrangian Grassmannians

The 2020 Polymath Jr. REU "q-binomials, the Grassmannian group", : +31

This paper studies, for a positive integer $m$ , the subalgebra of the cohomology ring of the complex Grassmannians generated by the elements of degree at most $m$ . We build in two…

Sphere Packing Densities of Sublattices of the Mordell-Weil Lattices of two Families of Elliptic Curves

k-Diophantine m-tuples in Finite Fields

Filtering cohomology of ordinary and Lagrangian Grassmannians

$k$ -Diophantine $m$ -tuples in Finite Fields