Department of Pure Mathematics and Mathematical Statistics (DPMMS)
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Freiman homomorphisms on sparse random sets
A result of Fiz Pontiveros shows that if $A$ is a random subset of $\mathbb{Z}_N$ where each element is chosen independently with probability $N^{1/2+o(1)}$, then with high probability every Freiman homomorphism defined ... 
Lspace intervals for graph manifolds and cables
We present a graph manifold analog of the JankinsNeumann classication of Seifert bered spaces over $\textit{S}$$^{2}$ admitting taut foliations, providing a finite recursive formula to compute the Lspace Dehnfilling ... 
Tubular free by cyclic groups act freely on CAT(0) cube complexes
We identify when a tubular group (the fundamental group of a finite graph of groups with $\mathbb{Z}$$^{2}$ vertex and $\mathbb{Z}$ edge groups) is free by cyclic and show, using Wise's equitable sets criterion, that every ... 
Exceptional collections, and the Néron–Severi lattice for surfaces
(Elsevier, 20170110)We work out properties of smooth projective varieties X over a (not necessarily algebraically closed) field $\textit{k}$ that admit collections of objects in the bounded derived category of coherent sheaves D$^{b}$(X) that ...