Robert Edgar Allardice

Allardice matriculated in 1879 at the University of Edinburgh and received there in 1882 an M.A. in mathematics.^[1] In 1883 Allardice became assistant in mathematics to Professor George Chrystal at the University of Edinburgh and remained there until 1892.^[2] In 1892 Allardice was appointed a professor to Stanford University at the start of the university's second year and immediately became the head of the mathematics department, continuing in that position until his retirement in 1927.^[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.^[5]

Allardice was a founder member of the Edinburgh Mathematical Society, joining in February 1883. He served on the committee of the Society from its foundation. He was Vice-President of the Society from 1889 to 1890, President of the Society in session 1890-91, and Editor of Proceedings of the Edinburgh Mathematical Society in session 1891-92, his final year in Edinburgh.^[2]

On 16 January 1888 he was elected A Fellow of the Royal Society of Edinburgh. His proposers were George Chrystal, Robert McNair Ferguson, John Sturgeon Mackay, and Peter Guthrie Tait.^[2]

After suffering from a lingering illness for over a year, Allardice died in 1928 from a lung infection. He never married and upon his death was survived by a sister in Glasgow.^[3]

• "Spherical Geometry." Proceedings of the Edinburgh Mathematical Society 2 (1883): 8–16. doi:10.1017/S0013091500037020
• with A. Y. Fraser: "La Tour d'Hanoï." Proceedings of the Edinburgh Mathematical Society 2 (1883): 50–53. doi:10.1017/S0013091500037147
• "Radical Axes in Spherical Geometry." Proceedings of the Edinburgh Mathematical Society 3 (1884): 59–61. doi:10.1017/S0013091500037305
• "On a number of concurrent spheres." Proceedings of the Edinburgh Mathematical Society 3 (1884): 118. doi:10.1017/S0013091500037457
• "Projective Geometry of the Sphere." Proceedings of the Edinburgh Mathematical Society 4 (1885): 56–58. doi:10.1017/S0013091500029916
• "Note on a Formula in Quaternions." Proceedings of the Edinburgh Mathematical Society 7 (1888): 8–10. doi:10.1017/S001309150003025X
• "On some theorems in the theory of numbers." Proceedings of the Edinburgh Mathematical Society 8 (1889): 16–19. doi:10.1017/S0013091500030467
• "Some Geometrical Theorems." Proceedings of the Edinburgh Mathematical Society 9 (1890): 11–13. doi:10.1017/S0013091500030716
• "Note on the dual of a focal property of the inscribed ellipse." The Annals of Mathematics 2, no. 1/4 (1900): 148–150. doi:10.2307/2007193
• "On Some Curves Connected with a System of Similar Conics." The Annals of Mathematics 3, no. 1/4 (1901): 154–160. doi:10.2307/1967641
• "On some systems of conics connected with the triangle." Proceedings of the Edinburgh Mathematical Society 20 (1901): 40–43. doi:10.1017/S0013091500032843
• "On a Linear Transformation, and Some Systems of Hypocycloids." The Annals of Mathematics 5, no. 4 (1904): 169–172. doi:10.2307/2007262
• "On a limit of the roots of an equation that is independent of all but two of the coefficients." Bulletin of the American Mathematical Society 13, no. 9 (1907): 443–447. doi:10.1090/S0002-9904-1907-01498-2
• "On the Locus of the Foci of a System of Similar Conics through three Points." Proceedings of the Edinburgh Mathematical Society 27 (1909): 37–50. doi:10.1017/S0013091500002145