Question: What English University grew out of scholars who left another university and has a professorship which a canonry of Ely Cathedral increased the stipend of?

Context paragraphs:
Regius Professor of Greek (Cambridge): The Regius Professorship of Greek is one of the oldest professorships at the University of Cambridge.  The Regius Professor chair was founded by Henry VIII in 1540 with a stipend of £40 per year, subsequently increased in 1848 by a canonry of Ely Cathedral.

Sadleirian Professor of Pure Mathematics: The Sadleirian Professorship of Pure Mathematics (originally in the statutes and for the first two professors, Sadlerian) is a professorship in pure mathematics within the DPMMS at the University of Cambridge.  It was founded on a bequest from Lady Mary Sadleir for lectureships for the full and clear explication and teaching that part of mathematical knowledge commonly called algebra.  She died in 1706 and lectures began in 1710 but eventually these failed to attract undergraduates.  In 1860 the foundation was used to establish the professorship.  On 10 June 1863 Arthur Cayley was elected with the statutory duty to explain and teach the principles of pure mathematics, and to apply himself to the advancement of that science.  The stipend attached to the professorship was modest although it improved in the course of subsequent legislation.

Ely Eel Day: Ely Eel Day is an annual celebration observed by people from Ely, Cambridgeshire to celebrate the city's namesake — the eel.  The celebrations start with a parade which begins from Cross Green outside Ely Cathedral and proceeds through the city to the Jubilee Gardens, passing by the Market Square and along the River Great Ouse at Ely's Waterside.

Diocese of Ely: The Diocese of Ely is a Church of England diocese in the Province of Canterbury.  It is headed by the Bishop of Ely, who sits at Ely Cathedral in Ely.  There is one suffragan (subordinate) bishop, the Bishop of Huntingdon.  The diocese now covers the modern ceremonial county of Cambridgeshire (excluding the Soke of Peterborough) and western Norfolk.  The diocese was created in 1109 out of part of the Diocese of Lincoln.

Simeon (abbot): Simeon (died 21 November 1093) was a relative of King William I of England and the brother of Walkelin, Bishop of Winchester.  It was through his brother's influence that Simeon was made prior of Winchester, then in 1082 Abbot of Ely, where he began work on the present Ely Cathedral.  He recovered for the monastery of Ely the lands which had been allotted to the Normans during their siege of the island of Ely when it was held by Hereward the Wake.

Ely, Cambridgeshire: Ely ( ) is a cathedral city in Cambridgeshire, England, about 14 mi north-northeast of Cambridge and about 80 mi by road from London.  Æthelthryth (also known as Etheldreda) founded an abbey at Ely in 673; the abbey was destroyed in 870 by Danish invaders and was rebuilt by Æthelwold, Bishop of Winchester, in 970.  Construction of the cathedral was started in 1083 by a Norman abbot, Simeon.  Alan of Walsingham's octagon, built over Ely's nave crossing between 1322 and 1328, is the "greatest individual achievement of architectural genius at Ely Cathedral", according to architectural historian Nikolaus Pevsner.  Building continued until the dissolution of the abbey in 1539 during the Reformation.  The cathedral was sympathetically restored between 1845 and 1870 by the architect George Gilbert Scott.  As the seat of a diocese, Ely has long been considered a city; in 1974, city status was granted by royal charter.

Arthur Wills (musician): Dr Arthur Wills OBE (born 1926) is a musician, composer, and professor.  He was Director of Music at Ely Cathedral from 1958 to 1990, and also held a Professorship at the Royal Academy of Music in London from 1964 until 1992.  He has toured extensively as a recitalist in Europe, North America, Australia, New Zealand, and Hong Kong, and has broadcast, appeared on TV and made many recordings, both as a soloist and with the Ely Choir.

Ely Professor of Divinity: The Ely Professorship of Divinity was one of the professorships in divinity at the University of Cambridge.  Originally part of the Regius Professorship of Greek, it was detached in 1889 and funded by the canonry of Ely, but has now been suppressed.  The professors holding this chair were thus made residentiary canons of Ely Cathedral.

Dean of Ely: The position of Dean of Ely Cathedral, in East Anglia, England, in the Diocese of Ely was created in 1541 after the Dissolution of the Monasteries.  The first Dean of Ely had been the last Benedictine prior of Ely.

University of Cambridge: The University of Cambridge (informally Cambridge University) is a collegiate public research university in Cambridge, England.  Founded in 1209 and granted a royal charter by King Henry III in 1231, Cambridge is the second-oldest university in the English-speaking world and the world's fourth-oldest surviving university.  The university grew out of an association of scholars who left the University of Oxford after a dispute with the townspeople.  The two medieval universities share many common features and are often referred to jointly as "Oxbridge".

Supporting paragraphs: Regius Professor of Greek (Cambridge) University of Cambridge
Answer: University of Cambridge