In 1993 she gained a PhD in mathematics from the Open University, under supervision of Jeremy Gray, on Poincaré and the Three Body Problem.
[4] From 1993 to the present Barrow-Green has worked at the Open University, receiving a professorship in 2015.
[6] 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.
[7] 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.
[8] She chairs the executive committee of the International Commission on the History of Mathematics.