3 papers
math.CO2021
Interpolation polynomials, bar monomials, and their positivity
Yusra Naqvi, Siddhartha Sahi, Emily Sergel
We prove a positivity result for interpolation polynomials that was conjectured by Knop and Sahi. These polynomials were first introduced by Sahi in the context of the Capelli eige…
math.CO2018
A combinatorial formula for certain binomial coefficients for Jack polynomials
Yusra Naqvi, Siddhartha Sahi
We present a decomposition of the generalized binomial coefficients associated with Jack polynomials into two factors: a stem, which is described explicitly in terms of hooks of th…
math.GR2018
Equivariant simplicial reconstruction
Lisa Carbone, Vidit Nanda, Yusra Naqvi
We introduce and analyze parallelizable algorithms to compress and accurately reconstruct finite simplicial complexes that have non-trivial automorphisms. The compressed data -- ca…