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math.NT2024
Galois groups of low dimensional abelian varieties over finite fields
Santiago Arango-Piñeros, Sam Frengley, Sameera Vemulapalli
We consider three isogeny invariants of abelian varieties over finite fields: the Galois group, Newton polygon, and the angle rank. Motivated by work of Dupuy, Kedlaya, and Zureick…
math.NT2024
The Steinitz Realization Problem
Sameera Vemulapalli
Let be a number field and let . The Steinitz realization problem asks: does every element of the ideal class group of occur as the Steinitz class of…
math.NT2024
The distribution of lattices arising from orders in low degree number fields
Sameera Vemulapalli
Orders in number fields provide natural examples of lattices. We ask: what can the successive minima of lattices arising from orders in number fields be? Given an order $\mathcal{O…