James William Peter Hirschfeld

James William Peter Hirschfeld (born 1940) is an Australian mathematician, resident in the United Kingdom, specializing in combinatorial geometry and the geometry of finite fields.

Hirschfeld received his doctorate in 1966 from the University of Edinburgh with thesis advisor William Leonard Edge and thesis The geometry of cubic surfaces, and Grace's extension of the double-six, over finite fields.

He edited Beniamino Segre's 100-page monograph "Introduction to Galois Geometries" (1967).

Non-singular linear transformations of the vector space provide motions of PG(n,q).

Colleague Joseph A. Thas is coauthor of General Galois Geometries on PG(n,q) where n ≥ 4.