2 citations · 2 across the 5 of their papers we have counts for
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Double-orientations on supersingular isogeny graphs
Do Eon Cha, Imin Chen
We recall and define various kinds of supersingular -isogeny graphs and precise graph isomorphism with a corresponding quaternion -ideal graph. In particular, we introd…
Revisiting the Fermat-type equation
Nicolas Billerey, Imin Chen, Lassina Dembélé +2
We solve the Fermat-type equation \[ x^{13} + y^{13} = 3 z^7, \qquad \gcd(x,y,z) = 1 \] combining a unit sieve, the multi-Frey modular method, level raising, computations of system…
A note on conductors of Frey representations at
Imin Chen, Lucas Villagra Torcomian
In 2000, Darmon introduced the notion of Frey representations within the framework of the modular method for studying the generalized Fermat equation. A central step in this progra…
Darmon's Program: A survey
Imin Chen, Angelos Koutsianas
We give an overview of Darmon's program for resolving families of generalized Fermat equations with one varying exponent and survey what is currently known about this approach base…
Improved bounds for Serre's open image theorem
Imin Chen, Joshua Swidinsky
Let be an elliptic curve over the rationals which does not have complex multiplication. Serre showed that the adelic representation attached to has open image, a…