Robert Leslie Ellis (25 August 1817 – 12 May 1859) was an English polymath, remembered principally as a mathematician and editor of the works of Francis Bacon.
Ellis was the youngest of six children of Francis Ellis (1772–1842) of Bath. Educated privately, he entered Trinity College, Cambridge, in 1836, graduating as Senior Wrangler in 1840 and elected Fellow of Trinity shortly afterwards. Although he had also entered the Inner Temple in 1838, was called to the bar in 1840, and later helped William Whewell with jurisprudence, Ellis never practised law. He hoped unsuccessfully for the Cambridge chair of civil law.
Inheriting substantial Irish estates when his father died, Ellis contemplated entering Parliament as a Whig under Sir William Napier's patronage. Yet his courtship of one of Napier's daughters ended in some confusion: Ellis never married, and never stood for Parliament.
As a mathematician, Ellis founded the Cambridge Mathematical Journal with D. F. Gregory in 1837. His own major mathematical contributions were on functional and differential equations, and the theory of probability ('On the foundations of the theory of probabilities' (read to the Cambridge Philosophical Society on 14 February 1842; published in the fourth volume of the Proceedings of the Cambridge Philosophical Society of 1844)). Philosophically, Ellis (like George Boole and later John Venn) defended an objective rather than subjective theory of probability. He corresponded with Augustus De Morgan on the conjectured four color theorem.
Ellis took on the editing of Francis Bacon's works with two other Trinity fellows, Douglas Denon Heath and James Spedding. Dramatic deterioration of Ellis's health from 1847 left his work on the general prefaces to Bacon's philosophy unfinished. Spedding and Heath completed the Works in seven volumes, published 1857-1859.