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**Peter Tennant Johnstone** (born December 28, 1948) is Professor of the Foundations of Mathematics at the University of Cambridge, and a fellow of St. John's College.^{[2]}
He invented or developed a broad range of fundamental ideas in topos theory. His thesis, completed at the University of Cambridge in 1974, was entitled "Some Aspects of Internal Category Theory in an Elementary Topos".^{[3]}

Peter Johnstone | |
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Born | December 28, 1948 |

Alma mater | University of Cambridge |

Known for | Category theory Topos theory Logic |

Awards | Whitehead Prize (1979)^{[1]} |

Scientific career | |

Fields | Mathematics |

Thesis | Some Aspects of Internal Category Theory in an Elementary Topos (1974) |

Doctoral advisor | John Frank Adams |

Peter Johnstone is a choral singer, having sung for over thirty years with the Cambridge University Musical Society and since 2004 with the (London) Bach Choir. Following a severe bout of COVID-19 in 2020, he was invited by the Bach Choir's musical director David Hill to provide the text for a new choral work about the pandemic which the Choir commissioned from the composer Richard Blackford; the piece, `Vision of a Garden', was performed at the Bach Choir's first post-lockdown concert in October 2021 in the Royal Festival Hall, london, and again in July 2023 in King's College Chapel, Cambridge.^{[4]}

He is a great-great-great nephew of the Reverend George Gilfillan who was eulogised in William McGonagall's first poem.^{[5]}

- — "[F]ar too hard to read, and not for the faint-hearted"
^{[6]}

- Johnstone, Peter (1982),
*Stone Spaces*, Cambridge University Press, ISBN 978-0-521-33779-3, Zbl 0499.54001. - Johnstone, Peter (1987),
*Notes on Logic and Set Theory*, Cambridge University Press, ISBN 978-0-521-33692-5. - Johnstone, Peter (2002),
*Sketches of an Elephant: A Topos Theory Compendium. I, II*, Oxford University Press, ISBN 978-0-19-852496-0, Zbl 1071.18002 (v.3 in preparation)

**^**The list of Whitehead Prize winners, retrieved 2019-10-10.**^**"Fellows of St. John's College 2009". Cambridge University Reporter. 2 October 2009.**^**"The Mathematics Genealogy Project - Peter Johnstone".**^**Fullbrook, Danny (19 July 2023). "Addenbrooke's patient performs Covid-inspired choral music".*BBC News*. Retrieved 19 May 2024.**^**Hunt, Chris,*William McGonagall: Collected Poems*, Birlinn, 2006, px**^**An anonymous referee, as quoted by Johnstone in his*Sketches of an elephant*, p. ix.

- Johnstone's web page
- Peter Johnstone at the
*n*Lab - Peter Johnstone at the Mathematics Genealogy Project