20 August 1863|
|Died||18 May 1924
|Doctoral students||Gino Fano
Segre developed his entire career at the University of Turin, first as a student of Enrico D'Ovidio. In 1883 he published a dissertation on quadrics in projective space and was named as assistant to professors in algebra and analytic geometry. In 1885 he also assisted in descriptive geometry. He began to instruct in projective geometry, as stand-in for Giuseppe Bruno, from 1885 to 1888. Then for 36 years he had the chair in higher geometry following D'Ovidio. Segre and Giuseppe Peano made Turin known in geometry. As Avellone (2002) wrote:
"in the mid 1880's, these two very young researchers, Segre and Peano, both of them only just past twenty and both working at the University of Turin, were developing very advanced points of view on fundamental geometrical issues. Although their positions were quite different from one another, they were in some way more complementary than opposed. So it must come as no surprise that Turin was the cradle of some of the most interesting studies on such issues."
The Erlangen program of Felix Klein appealed early on to Segre, and he became a promulgator. First, in 1885 he published an article on conics in the plane where he demonstrated how group theory facilitated the study. As Hawkins says (page 252) "the totality of all conics in the plane is identified with P5(C)". The group of its projectivities is then the group that permutes conics. About Segre, Hawkins writes
"shortly after he assumed the chair of projective geometry in Turin in 1888, he decided it would be worthwhile to have an Italian translation of the Erlangen Program because he felt its contents were not well enough known among young Italian geometers. ... Segre convinced one of the students at Turin, Gino Fano, to make a translation which was published in Annali di Mathematische in 1890. Fano's translation thus became the first of many translations of the Erlangen Program."
The inspiring Geometrie der Lage (1847) of Karl Georg Christian von Staudt provided Segre with another project. He encouraged Mario Pieri to make a translation, Geometria di Posizione (1889), while Segre composed a biographical sketch of von Staudt that was included in the publication.
Segre also expanded algebraic geometry by consideration of multicomplex numbers, in particular the bicomplex numbers. Segre's 1892 contribution to Mathematische Annalen shows him extending the work of William Rowan Hamilton and William Kingdon Clifford on biquaternions. But Segre was unaware of earlier study of tessarines that had anticipated his bicomplex numbers.
In English, the best known work of Segre is an inspirational essay meant for Italian students, translated by J.W. Young in 1904. This paper, in the Bulletin of the American Mathematical Society, is a favorite.
In a 1926 memorial article, H.F. Baker called Segre the "father of" the Italian school of algebraic geometry.
The 1912 article "Higher-dimensional Space" (Mehr-dimensional Raume) for Encyklopädie der mathematischen Wissenschaften spanned 200 pages. In admiration, Baker (1926) wrote and Coolidge (1927) reiterated
- For completeness of detail, breadth of view, and generous recognition of the work of a host of other writers, this must remain for many years a monument of the comprehensiveness of the man.
- Hollcroft, T. R. (1936). "Review: Mehrdimensionale Räume, by C. Segre". Bull. Amer. Math. Soc. 42 (1, Part 2): 5–6.
- Maurizio Avellone, Aldo Brigaglia & Carmela Zappulla (2002) "The Foundations of Projective Geometry in Italy from De Paolis to Pieri", Archive for History of Exact Sciences 56:363–425, esp 378.
- Baker, H. F. (1926), "Corrado Segre", Journal of the London Mathematical Society 1 (4): 263–271, doi:10.1112/jlms/s1-1.4.263, JFM 52.0032.08.
- Coolidge, J. L. (May–June 1927), "Corrado Segre", Bulletin of the American Mathematical Society 33 (3): 352–357, doi:10.1090/S0002-9904-1927-04373-7, JFM 53.0034.09, MR 1561376.
- Paola Gario (1989) Resolution of singularities of surfaces by P. Del Pezzo. A mathematical controversy with C. Segre Archive for the History of Exact Sciences 40(3):247–74.
- Thomas Hawkins (2000) Emergence of the Theory of Lie Groups: an essay in the history of mathematics, 1869 — 1926, Springer ISBN 0-387-98963-3 .
- Segre, Corrado (pub. 1957-1965), Opere. A cura dell'Unione matematica italiana e col contributo del Consiglio nazionale delle ricerche (four volumes), Rome: Edizioni cremonese, OCLC 851553
- Segre, Corrado (1892), "Le rappresentazioni reali delle forme complesse e gli enti iperalgebrici (The real representation of complex elements and hyperalgebraic entities)", Mathematische Annalen 40: 413–467. (see especially pages 455–67)
- Corrado Segre (1904) "On some tendencies in geometric investigations", translated by J. W. Young, Bulletin of the American Mathematical Society 10(9):442–68.online article. MR 1558145.
- Corrado Segre (1912) Mehrdimensionale Räume, Encyklopädie der mathematischen Wissenschaften, weblink to University of Göttingen.
- Pierre Speziale (1975) "Corrado Segre", Dictionary of Scientific Biography, auspices of American Council of Learned Societies.
- Livia Giacardi, 2001, "The Corrado Segre Archive", Historia Mathematica, 28, pp. 296–301.
- Livia Giacardi, 2002, (Ed.) I Quaderni di Corrado Segre, CD-ROM, Dipartimento di matematica, Università di Torino.
- O'Connor, John J.; Robertson, Edmund F., "Corrado Segre", MacTutor History of Mathematics archive, University of St Andrews.
- Corrado Segre at the Mathematics Genealogy Project