Robert Edgar Allardice FRSE (1862 – 1928) was a Scottish mathematician, specializing in geometry.

[1] In 1883 Allardice became assistant in mathematics to Professor George Chrystal at the University of Edinburgh and remained there until 1892.

[3] For many years, the senior faculty in mathematics at Stanford University consisted of Allardice and Rufus Green.

[4] The Stanford mathematics department, with Allardice as head, recruited Hans Frederick Blichfeldt and George Abram Miller.

His proposers were George Chrystal, Robert McNair Ferguson, John Sturgeon Mackay, and Peter Guthrie Tait.