Birth and Education
Barnes was the eldest of four sons of John Starkie Barnes and Jane Elizabeth Kerry, both elementary school head-teachers. In 1883 Barnes' father was appointed Inspector of Schools in Birmingham, a position that he occupied throughout the rest of his working life. Barnes was educated at King Edward's School, Birmingham and in 1893 went up to Cambridge as a Scholar of Trinity College. He was bracketed Second Wrangler in 1896 and was placed in the first division of the first class in Part II of the Mathematical Tripos in 1897. In the following year he was awarded the first Smith's Prize and was duly elected to a Trinity Fellowship. During his time as a Fellow he served on the committee of Cambridge University Liberal Club from 1899 to 1901. He was appointed a lecturer in mathematics in 1902, junior dean in 1906–08 and a tutor in 1908. He graduated Sc.D. of the University of Cambridge in 1907 and was elected a Fellow of the Royal Society in 1909.
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