3 papers
math.SG2026
Weighted Seshadri constants and ellipsoid embeddings
Jonathan David Evans
We explore Seshadri constants associated to weighted blow-ups of complex projective varieties and demonstrate how to use this notion to construct symplectic embeddings of ellipsoid…
math.HO2025
Euler's explorations of extremal ellipses
Leonhard Euler, Jonathan David Evans
In the 1770s, Euler wrote a series of papers (E563, E691 and E692) about finding the ellipse with minimal area or perimeter in the family of all ellipses passing through a fixed se…
math.HO2025
On Amicable Numbers
Leonhard Euler, Jonathan David Evans
This is an English translation of Euler's 1750 paper "De numeris amicabilibus" (E152), the most substantial of his three works with this name. In it, he expounds at great length th…