Cunningham went up to St John's College, Cambridge in 1899 and graduated Senior Wrangler in 1902, winning the Smith's Prize in 1904.^[1]

In 1904, as a lecturer at the University of Liverpool, he began work on a new theorem in relativity with fellow lecturer Harry Bateman. They brought the methods of inversive geometry into electromagnetic theory with their transformations (spherical wave transformation):

Each four-dimensional solution [to Maxwell's equations] could then be inverted in a four-dimensional hypersphere of pseudo-radius K in order to produce a new solution. Central to Cunningham's paper was the demonstration that Maxwell's equations retained their form under these transformations.^[2]

He worked with Karl Pearson in 1907 at University College London. Cunningham married Ada Collins in 1908.

In August 1911 he returned to St John's College where he made his career. When drafted for the war in 1915 he did alternative service growing food and in an office at the YMCA. He held a university lectureship from 1926 to 1946.

His book The Principle of Relativity (1914) was one of the first treatises in English about special relativity, along with those by Alfred Robb and Ludwik Silberstein. He followed with Relativity and the Electron Theory (1915) and Relativity, Electron Theory and Gravitation (1921). McCrea writes that Cunningham had doubts whether general relativity produced "physical results adequate return for mathematical elaboration."

He was an ardent pacifist, strongly religious, a member of Emmanuel United Reformed Church, Cambridge and chairman of the Congregational Union of England and Wales for 1953–54 (and, for this role, he was a guest at the Coronation of Queen Elizabeth II and participant of her Coronation procession^[3]).

• 1914: The Principle of Relativity from Internet Archive.

• Conformal group of spacetime^[4]

• William McCrea (1978), "Ebenezer Cunningham", Bulletin of the London Mathematical Society 10: 116–126 subscription required^{[dead link]}.
• Andrew Warwick (2003), Masters of Theory: Cambridge and the Rise of Mathematical Physics, University of Chicago Press, pp. 409–36.

• Oral history interview transcript with Ebenezer Cunningham on 19 June 1963, American Institute of Physics, Niels Bohr Library & Archives
• Works by or about Ebenezer Cunningham at Internet Archive
• O'Connor, John J.; Robertson, Edmund F., "Ebenezer Cunningham", MacTutor History of Mathematics Archive, University of St Andrews