6 papers · 1 filter
Thin sets in weighted projective stacks
Stephanie Chan, Daniel Loughran, Nick Rome
We prove an upper bound for the number of rational points of bounded height in a weighted projective stack which lie in a given thin subset. As a consequence, we show that …
Selmer groups of families of elliptic curves with an -isogeny
Stephanie Chan, Matteo Verzobio
For certain families of elliptic curves admitting a rational isogeny of prime degree , we establish a central limit theorem for the Tamagawa ratio and derive bounds on its av…
Number fields generated by points in linear systems on curves
Irmak Balçik, Stephanie Chan, Yuan Liu +1
We develop techniques for determining the fibers of a morphism of curves over a nonarchimedean local field . These results have applications to studying closed poin…
Solubility of a resultant equation and applications
Tim Browning, Stephanie Chan
The large sieve is used to estimate the density of integral quadratic polynomials , such that there exists an odd degree integral polynomial which has resultant with …
Almost all elliptic curves with prescribed torsion have Szpiro ratio close to the expected value
Stephanie Chan
We demonstrate that almost all elliptic curves over with prescribed torsion subgroup, when ordered by naive height, have Szpiro ratio arbitrarily close to the expected…
Ranks, -Selmer groups, and Tamagawa numbers of elliptic curves with -torsion
Stephanie Chan, Jeroen Hanselman, Wanlin Li
In 2016, Balakrishnan-Ho-Kaplan-Spicer-Stein-Weigandt produced a database of elliptic curves over ordered by height in which they computed the rank, the size of the $2…