3 papers
math.CO2026
Dimension of splines on graphs in the case of degree two and smoothness one in two variables
Shaheen Nazir, Anne Schilling, Julianna Tymoczko
Continuous spline functions are defined as piecewise polynomials on the faces of a polyhedral complex that agree on the intersections of two faces. Splines are used in approximatio…
math.CO2025
On partitions associated with elementary symmetric polynomials
Cristina Ballantine, Shaheen Nazir, Bridget Eileen Tenner +2
The elementary symmetric partition function is a map on the set of partitions. It sends a partition lambda to the partition whose parts are the summands in the evaluation of the el…
math.AG2025
Constructions and deformations of Calabi--Yau 3-folds in codimension 4
Sumayya Moshin, Shaheen Nazir, Muhammad Imran Qureshi
We construct polarized Calabi--Yau 3-folds with at worst isolated canonical orbifold points in codimension 4 that can be described in terms of the equations of the Segre embedding…