Barrow-Green obtained a BSc Hons in Mathematics in 1986 and an MSc in Mathematical Physics in 1989, both from King's College London. In 1993 she gained a PhD in Mathematics from the Open University, under supervision of Jeremy Gray, on Poincaré and the Three Body Problem.
From 1993 to the present Barrow-Green has worked at the Open University, receiving a professorship in 2015.
From 2003 to 2005 she was president of the British Society for the History of Mathematics. From 2007 to 2018 she was an elected member of the Council of the London Mathematical Society and during that period she served as the Librarian for the society.
In 2014 Barrow-Green was awarded the first Chandler Davis Prize for Expository Excellence for her article An American Goes to Europe: Three Letters from Oswald Veblen to George Birkhoff in 1913/1914 in The Mathematical Intelligencer.
In 2018 she took part in a discussion panel on The Gender Gap in Mathematical and Natural Sciences from a Historical Perspective at the International Congress of Mathematicians 2018, Rio de Janeiro, which was chaired by the English mathematician Caroline Series and also featured the French mathematician Marie-Françoise Roy and the Argentine physicist Silvina Ponce Dawson.
She chairs the Executive Committee of the International Commission on the History of Mathematics.
- Barrow-Green, June; Gray, Jeremy; Wilson, Robin (2019), The History of Mathematics: A Source-Based Approach: Volume 1, American Mathematical Society & Mathematical Association of America
- Gowers, Timothy; Barrow-Green, June; Leader, Imre, eds. (2008), The Princeton Companion to Mathematics, Princeton University Press
- Barrow-Green, June (2002), Poincaré and the discovery of chaos, Icon, ISBN 9781840462883
- Barrow-Green, June (1997), Poincaré and the three body problem, History of mathematics, v. 11., American Mathematical Society, ISBN 9780821803677
- Birth year from Library of Congress catalog entry, accessed 2020-01-08
- "Professor of History of Mathematics, Faculty of Science, Technology, Engineering & Mathematics, School of Mathematics & Statistics". The Open University. Retrieved 2020-01-11.
- Science, London School of Economics and Political. "June Barrow-Green". London School of Economics and Political Science. Retrieved 2020-02-11.
- "History of the BSHM". Retrieved 2020-02-15.
- "Council Members". LMS. 2 December 2015. Retrieved 29 December 2016.
- "The Chandler Davis Prize for Expository Excellence". springer.com. Retrieved 2020-02-11.
- August 2; 2018; Pm, 9:15. "More female role models needed in mathematics | ICM News". Retrieved 2020-02-11.CS1 maint: numeric names: authors list (link)
- "Members". International Commission on the History of Mathematics. Retrieved 8 January 2020.
- Reviews of Poincaré and the three body problem:
- Duda, R., zbMATH, Zbl 0877.01022CS1 maint: untitled periodical (link)
- Chambers, Ll. G. (1997), Mathematical Reviews, MR 1415387CS1 maint: untitled periodical (link)
- Vickers, James (January 1999), Bulletin of the London Mathematical Society, 31 (1): 121–123, doi:10.1112/s0024609397313952CS1 maint: untitled periodical (link)
- Diacu, Florin (May 1999), Historia Mathematica, 26 (2): 175–178, doi:10.1006/hmat.1999.2236CS1 maint: untitled periodical (link)
- Mawhin, Jean (June 1998), Isis, 89 (2): 345–346, doi:10.1086/384034, JSTOR 237789CS1 maint: untitled periodical (link)
- Lewis, Albert C. (July 1999), The Mathematical Gazette, 83 (497): 343, doi:10.2307/3619091, JSTOR 3619091CS1 maint: untitled periodical (link)
- Gottlieb, Daniel Henry (December 1999), The American Mathematical Monthly, 106 (10): 977–980, doi:10.2307/2589771, JSTOR 2589771CS1 maint: untitled periodical (link)