30 citations · 416 across the 73 of their papers we have counts for
4 papers · 1 filter
Recovering affine-linearity of functions from their restrictions to affine lines
Apoorva Khare, Akaki Tikaradze
Motivated by recent results of Tao-Ziegler [Discrete Anal. 2016] and Greenfeld-Tao (2022 preprint) on concatenating affine-linear functions along subgroups of an abelian group, we…
Blowup polynomials and delta-matroids of graphs
Projesh Nath Choudhury, Apoorva Khare
For every finite simple connected graph , we introduce an invariant, its blowup-polynomial . This is obtained by dividing the determinant of th…
A weight-formula for all highest weight modules, and a higher order parabolic category
Apoorva Khare, G. Krishna Teja
Let be a complex Kac-Moody algebra, with Cartan subalgebra . Also fix a weight . For an arbitrary highes…
From Cauchy's determinant formula to bosonic and fermionic immanant identities
Apoorva Khare, Siddhartha Sahi
Cauchy's determinant formula (1841) involving is a fundamental result in symmetric function theory. It has been extended in several directions, including…