2 papers
math.MG2025
Distinct Distances Between a Line and Strip
Sanjana Das, Adam Sheffer
We introduce a new type of distinct distances result: a lower bound on the number of distances between points on a line and points on a two-dimensional strip. This can be seen as a…
math.CO2024
Expanding polynomials for sets with additive structure
Sanjana Das, Cosmin Pohoata, Adam Sheffer
The expansion of bivariate polynomials is well-understood for sets with a linear-sized product set. In contrast, not much is known for sets with small sumset. In this work, we prov…