2 papers
math.LO2026
Circle Squaring
Spencer Unger, Narmada Varadarajan, Felix Weilacher
We show that a circle and square of the same area in are equidecomposable by translations using pieces. That is, pieces which are simultaneously $F_Ï…
math.CO2025
Integer points in dilates of polytopes
Shubhangi Saraf, Narmada Varadarajan
In this paper we study how the number of integer points in a polytope grows as we dilate the polytope. We prove new and essentially tight bounds on this quantity by specifically st…