Question: The Dirac large numbers hypothesis (LNH) is an observation made by the Lucasian Professor of Mathematics at what school? 

Context paragraphs:
Michael Cates: Michael Elmhirst Cates (born 5 May 1961) is a British physicist.  He is the 19th Lucasian Professor of Mathematics at the University of Cambridge and has held this position since 1 July 2015.

Sir George Stokes, 1st Baronet: Sir George Gabriel Stokes, 1st Baronet, {'1': ", '2': ", '3': ", '4': "} ( ; 13 August 1819 – 1 February 1903), was a physicist and mathematician.  Born in Ireland, Stokes spent all of his career at the University of Cambridge, where he served as Lucasian Professor of Mathematics from 1849 until his death in 1903.  In physics, Stokes made seminal contributions to fluid dynamics (including the Navier–Stokes equations) and to physical optics.  In mathematics he formulated the first version of what is now known as Stokes' theorem and contributed to the theory of asymptotic expansions.  He served as secretary, then president, of the Royal Society of London.

Dirac large numbers hypothesis: The Dirac large numbers hypothesis (LNH) is an observation made by Paul Dirac in 1937 relating ratios of size scales in the Universe to that of force scales.  The ratios constitute very large, dimensionless numbers: some 40 orders of magnitude in the present cosmological epoch.  According to Dirac's hypothesis, the apparent similarity of these ratios might not be a mere coincidence but instead could imply a cosmology with these unusual features:

Michael Green (physicist): Michael Boris Green (born 22 May 1946) is a British physicist and one of the pioneers of string theory.  Currently a professor in the Department of Applied Mathematics and Theoretical Physics and a Fellow in Clare Hall, Cambridge in England, he was Lucasian Professor of Mathematics from 2009 to 2015.

Paul Dirac: Paul Adrien Maurice Dirac {'1': ", '2': ", '3': ", '4': "} ( ; 8 August 1902 – 20 October 1984) was an English theoretical physicist who made fundamental contributions to the early development of both quantum mechanics and quantum electrodynamics.  He was the Lucasian Professor of Mathematics at the University of Cambridge, a member of the Center for Theoretical Studies, University of Miami, and spent the last decade of his life at Florida State University.

John Colson: John Colson {'1': ", '2': ", '3': ", '4': "} (1680–1760) was an English clergyman and mathematician, Lucasian Professor of Mathematics at Cambridge University.

Lucasian Professor of Mathematics: The Lucasian Chair of Mathematics is a mathematics professorship in the University of Cambridge, England; its holder is known as the Lucasian Professor.  The post was founded in 1663 by Henry Lucas, who was Cambridge University's Member of Parliament from 1639–1640; and it was officially established by King Charles II on 18 January 1664.  It was described by "The Daily Telegraph" as one of the most prestigious academic posts in the world and its former holders include Isaac Newton, Joseph Larmor, Charles Babbage, George Stokes, Paul Dirac and Stephen Hawking.

Joshua King: Joshua King (16 January 1798 – 1 September 1857) was the Lucasian Professor of Mathematics at the University of Cambridge from 1839 to 1849.  He was also the President of Queens' College, Cambridge, from 1832 until his death and Vice-Chancellor of Cambridge University from 1833-4.

Edward Waring: Edward Waring {'1': ", '2': ", '3': ", '4': "} (  1736 15 August 1798) was an English mathematician.  He entered Magdalene College, Cambridge as a sizar and became Senior wrangler in 1757.  He was elected a Fellow of Magdalene and in 1760 Lucasian Professor of Mathematics, holding the chair until his death.  He made the assertion known as Waring's problem without proof in his writings "Meditationes Algebraicae".  Waring was elected a Fellow of the Royal Society in 1763 and awarded the Copley Medal in 1784.

Arithmetica Universalis: Arithmetica Universalis ("Universal Arithmetic") is a mathematics text by Isaac Newton.  Written in Latin, it was edited and published by William Whiston, Newton's successor as Lucasian Professor of Mathematics at the University of Cambridge.  The "Arithmetica" was based on Newton's lecture notes.

Supporting paragraphs: Dirac large numbers hypothesis Paul Dirac
Answer: University of Cambridge