Hilda Phoebe Hudson (11 June 1881 Cambridge – 26 November 1965 London) was an English mathematician who worked on algebraic geometry, in particular on Cremona transformations.

In 1900 Hudson gained a scholarship and entered Newnham College at the University of Cambridge, graduating in 1903, coming 7th equal among the First Class students.

After a year of further study at the University of Berlin, she returned to Newnham in 1905, first as lecturer in mathematics and later as Associate Research Fellow.

She joined an Air Ministry subdivision undertaking aeronautical engineering research in 1917, where she applied pioneering work on the application of mathematical modelling to aircraft design.

[1] Most of Hudson's pure mathematical research was concerned with surfaces and plane curves, her special interest being in Cremona transformations.