17 citations · 17 across the 4 of their papers we have counts for
4 papers
Elliptic Curves and the Hopf Fibration
Nadir Hajouji, Steve Trettel
By combining tools from different areas of mathematics, we obtain 3D visualizations of elliptic curves over different fields that faithfully capture the underlying algebra and geom…
Supersingular Isogeny Graphs from Algebraic Modular Curves
Nadir Hajouji
We describe and compare algorithms for computing supersingular isogeny graphs. Along the way, we obtain a formula for the trace of the adjacency matrix of a general supersingular i…
Weil-Chatelet Groups of Rational Elliptic Surfaces
Nadir Hajouji
We classify pairs , consisting of a rational elliptic surface and a Galois cover of the base, which satisfy a condition we call -stability. We explain…
Modular Curves and Mordell-Weil Torsion in F-theory
Nadir Hajouji, Paul-Konstantin Oehlmann
In this work we prove a bound for the torsion in Mordell-Weil groups of smooth elliptically fibered Calabi-Yau 3- and 4-folds. In particular, we show that the set which can occur o…