5 citations · 9 across the 4 of their papers we have counts for
5 papers
Galois descent for motives: the K3 case
Angus McAndrew
A theorem of Grothendieck tells us that if the Galois action on the Tate module of an abelian variety factors through a smaller field, then the abelian variety, up to isogeny and f…
Refined Selmer equations for the thrice-punctured line in depth two
Alex J. Best, L. Alexander Betts, Theresa Kumpitsch +5
In [Kim05], Kim gave a new proof of Siegel's Theorem that there are only finitely many -integral points on . One advantage of Kim…
Differential operators mod : analytic continuation and consequences
Ellen E. Eischen, Max Flander, Alexandru Ghitza +2
This paper concerns certain differential operators that act on automorphic forms over Shimura varieties of type A or C. We show that, over the ordinary locus, these operat…
Theta operators on Siegel modular forms and Galois representations
Alexandru Ghitza, Angus McAndrew
We describe the effect of the differential operators defined by Boecherer-Nagaoka, Flander-Ghitza and Yamauchi on the Galois representations (conjecturally) attached to Siegel modu…
Experimental evidence for Maeda's conjecture on modular forms
Alexandru Ghitza, Angus McAndrew
We describe a computational approach to the verification of Maeda's conjecture for the Hecke operator T2 on the space of cusp forms of level one. We provide experimental evidence f…