2 citations · 2 across the 1 of their papers we have counts for
5 papers
A computational framework for weighted simplicial homology
Andrei C. Bura, Neelav S. Dutta, Thomas J. X. Li +1
We provide a bottom up construction of torsion generators for weighted homology of a weighted complex over a discrete valuation ring . This is achieved by starti…
Well-Poised Hypersurfaces
Joseph Cecil, Neelav Dutta, Christopher Manon +2
An ideal is said to be "well-poised" if all of the initial ideals obtained from points in the tropical variety are prime. This condition was first defined by Nathan I…
The moduli space of tropical curves with fixed Newton polygon
Desmond Coles, Neelav Dutta, Sifan Jiang +2
Given a lattice polygon, we study the moduli space of all tropical plane curves with that Newton polygon. We determine a formula for the dimension of this space in terms of combina…
Tropically planar graphs
Desmond Coles, Neelav Dutta, Sifan Jiang +2
We study tropically planar graphs, which are the graphs that appear in smooth tropical plane curves. We develop necessary conditions for graphs to be tropically planar, and compute…
Gonality of Expander Graphs
Neelav Dutta, David Jensen
We provide lower bounds on the gonality of a graph in terms of its spectral and edge expansion. As a consequence, we see that the gonality of a random 3-regular graph is asymptotic…