Swan-like results for binomials and trinomials over finite fields of odd characteristic. - Brandon Hanson; Daniel Panario; David Thomson (Des. Codes Cryptogr., 2011)

On distinct perpendicular bisectors and pinned distances in finite fields. - Brandon Hanson; Ben Lund 002; Oliver Roche-Newton (Finite Fields Their Appl., 2016)

The Additive Structure of Cartesian Products Spanning Few Distinct Distances. - Brandon Hanson (Comb., 2018)

Long regularly-spaced and convex sequences in dense sets of integers. - Brandon Hanson (J. Comb. Theory A, 2021)

Higher Convexity and Iterated Sum Sets. - Brandon Hanson; Oliver Roche-Newton; Misha Rudnev (Comb., 2022)

Higher Convexity and Iterated Second Moment Estimates. - Peter Bradshaw; Brandon Hanson; Misha Rudnev (Electron. J. Comb., 2022)