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math.NT2025
Cycles and Cuts in Supersingular L-Isogeny Graphs
Sarah Arpin, Ross Bowden, James Clements +3
Supersingular elliptic curve isogeny graphs underlie isogeny-based cryptography. For isogenies of a single prime degree , their structure has been investigated graph-theoreti…
math.NT2022
A symmetric -adic symbol for triples of modular forms
Wissam Ghantous
In 2014, Darmon and Rotger defined the Garrett-Rankin triple product -adic - function and related it to the image of certain diagonal cycles under the -adic Abel- Jacobi m…
math.NT2021
Loops, Multi-Edges and Collisions in Supersingular Isogeny Graphs
Wissam Ghantous
Supersingular isogeny graphs are known to have very few loops and multi-edges. We formalize this idea by studying and finding bounds for the number of loops and multi-edges in such…