From left: Aart Blokhuis, James William Peter Hirschfeld, Dieter Jungnickel, and Joseph A. Thas, at the MFO, 2001
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. He is an emeritus professor and Tutorial Fellow at the University of Sussex.
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.[1]
To pursue further studies in finite geometry Hirschfeld went to University of Perugia and University of Rome with support from the Royal Society and Accademia nazionale dei Lincei. He edited Beniamino Segre's 100-page monograph "Introduction to Galois Geometries" (1967).[2]
In 1979 Hirschfeld published the first of a trilogy on Galois geometry, pegged at a level depending only on "the group theory and linear algebra taught in a first degree course, as well as a little projective geometry, and a very little algebraic geometry." When q is a prime power then there is a finite field GF(q) with q elements called a Galois field. A vector space over GF(q) of n + 1 dimensions produces an n-dimensional Galois geometry PG(n,q) with its subspaces: one-dimensional subspaces are the points of the Galois geometry and two-dimensional subspaces are the lines. Non-singular linear transformations of the vector space provide motions of PG(n,q). The first book (1979) covered PG(1,q) and PG(2,q). The second book addressed PG(3,q) and the third PG(n,q). Chapters are numbered sequentially through the trilogy: 14 in the first book, 15 to 21 in the second, and 22 to 27 in the third. Finite geometry has contributed to coding theory, such as algebraic geometry codes, so the field is supported by computer science. In the preface of the 1991 text Hirschfeld summarizes the status of Galois geometry, mentioning maximum distance separable code, mathematics journals publishing finite geometry, and conferences on combinatorics featuring Galois geometry. Colleague Joseph A. Thas is coauthor of General Galois Geometries on PG(n,q) where n ≥ 4.
Hirschfeld was cited as the ultimate editor of Design Theory (1986).[3]
In 2018 he received the 2016 Euler Medal.[4]
^Hirschfeld, J. W. P. (1966). "Geometry of cubic surfaces, and Grace's extension of the double-six, over finite fields". Edinburgh Research Archive.
^Preface, page vii, Projective Geometries over Finite Fields
^Beth, Thomas; Jungnickel, Dieter; Lenz, Hanfried (1986). Design Theory. Cambridge: Cambridge University Press. p. 10.. 2nd ed. (1999) ISBN 978-0-521-44432-3.
^"Official Web Pages of the ICA". The Institute of Combinatorics and Its Applications.
and 25 Related for: James William Peter Hirschfeld information
JamesWilliamPeterHirschfeld (born 1940) is an Australian mathematician, resident in the United Kingdom, specializing in combinatorial geometry and the...
JamesHirschfeld may refer to: JamesHirschfeld (chief executive), co-founder and CEO of Paperless Post JamesWilliamPeterHirschfeld, Australian mathematician...
executive), American entrepreneur JamesWilliamPeterHirschfeld (born 1940), British mathematician Jimmy Hirschfeld (born 1929), American television director...
Magnus Hirschfeld (14 May 1868 – 14 May 1935) was a Jewish German physician and sexologist, whose citizenship was later revoked by the Nazi government...
Albert Hirschfeld (June 21, 1903 – January 20, 2003) was an American caricaturist best known for his black and white portraits of celebrities and Broadway...
The Al Hirschfeld Theatre, originally the Martin Beck Theatre, is a Broadway theater at 302 West 45th Street in the Theater District of Midtown Manhattan...
2018. "Dietrich Dearest". People.com. "William Riva, Scenic Designer, 79". The New York Times. July 13, 1999. James, Caryn. "The Dietrich Mystique". Retrieved...
Falk/Columbo by Al Hirschfeld. Lieutenant Columbo owns a Basset Hound named Dog. Originally, it was not going to appear in the show because Peter Falk believed...
pp. 87, 89–91. Lannen 2011, pp. 205–206. De Vorsey Jr. 2009, p. 22. Hirschfeld, Fritz (2005). George Washington and The Jews. University of Delaware...
Potter's father, Rupert William Potter (1832–1914), was educated at Manchester College by the Unitarian philosopher James Martineau. He then trained...
Cosy Corner, and he was "brought face to face with his tribe" at Magnus Hirschfeld's Institute for Sexual Science. He visited Berlin again in July and relocated...
James Montgomery Flagg (June 18, 1877 – May 27, 1960) was an American artist, comics artist, and illustrator. He worked in media ranging from fine art...
279–280; Morgan 2005, pp. 405, 407 n7; Hirschfeld 1997, p. 12. Thompson, Mary V. (June 19, 2014). "William Lee & Oney Judge: A Look at George Washington...
garnered a fifth Primetime Emmy Award nomination for portraying Magnus Hirschfeld in the same series. Since 2018, Whitford has portrayed Commander Joseph...
Peter Wohlleben (born 1964) is a German forester and author who writes on ecological themes in popular language and has controversially argued for plant...
WilliamJames Glackens (March 13, 1870 – May 22, 1938) was an American realist painter and one of the founders of the Ashcan School, which rejected the...
William "Smokey" Robinson Jr. (born February 19, 1940) is an American R&B and soul singer, songwriter, record producer, and former record executive. He...
Set in New York City in the 1930s, and designed in the style of Al Hirschfeld's known caricatures of the time, the story follows four individuals who...
Christian The Composer in the Broadway production of Moulin Rouge! at the Al Hirschfeld Theatre; previews began on June 28, 2019, and the production had its opening...
189–93; Morgan, p. 406. McElroy, p. 189. Olcott, p. 388. Phillips, p. 161. Hirschfeld Davis, Julie (August 30, 2015). "Mount McKinley Will Be Renamed Denali"...
movies. Clark Gable, Gary Cooper, Spencer Tracy, James Stewart, Cary Grant, Humphrey Bogart, William Holden, Steve McQueen, and Sean Connery never directed...
Heritage of John James Audubon. NRC Research Press, Ottawa, ISBN 978-0-660-19894-1 Souder, William (2005) Under a Wild Sky: John James Audubon and the...
Studies, and work on the INAH 3 in the hypothalamus; the work of Magnus Hirschfeld; endocrinologist Günter Dörner of the Humboldt University of Berlin; Louis...
Global Information