Greenwood was elected Principal (head) of Brasenose College, Oxford in 1648, a post he held until 1660. Under Greenwood, numbers at the College rose from 20 to 120. During his time as Principal of Brasenose College, he was also Vice-Chancellor of Oxford University from 1650 until 1652.
- Salter, H. E.; Lobel, Mary D., eds. (1954). "Brasenose College". A History of the County of Oxford: Volume 3: The University of Oxford. Victoria County History. pp. 207–219. Retrieved July 18, 2011.
- "Principals of Brasenose". The Brazen Nose, Volume 36. Brasenose College, Oxford, UK. 2002. Retrieved July 24, 2011.
- "Previous Vice-Chancellors". University of Oxford, UK. Retrieved July 24, 2011.
- University of Oxford (1888). "Vice-Chancellors". The Historical Register of the University of Oxford. Oxford: Clarendon Press. pp. 21–27. Retrieved July 24, 2011.
|Principal of Brasenose College, Oxford
|Vice-Chancellor of Oxford University
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