Sameera Vemulapalli

most citedBounds on Successive Minima of Orders in Number Fields and Scrollar Invariants of Curves

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math.CO2022

Sumsets of sequences in abelian groups and flags in field extensions

Sameera Vemulapalli

For a finite abelian group $G$ with subsets $A$ and $B$ , the sumset $A B$ is ${ab ∣ a \in A, b \in B}$ . A fundamental problem in additive combinatorics is to find a lower bound…

math.NT2022★ 1 cited

Bounds on Successive Minima of Orders in Number Fields and Scrollar Invariants of Curves

Sameera Vemulapalli

Orders and fractional ideals in number fields provide interesting examples of lattices. We ask: what lattices arise from orders in number fields? We prove that all nontrivial multi…