University of Bologna, Via Zamboni, 33, 40126 Bologna BO, Italy
In 1863 Eugenio Bertini registered at the University of Bologna, intending to study engineering, but after taking the course taught by Luigi Cremona, he turned to pure mathematics.
University of Pisa, Lungarno Antonio Pacinotti, 43, 56126 Pisa PI, Italy
On the advice of Cremona, Eugenio Bertini resumed his studies and transferred to the University of Pisa, from which he received his degree in mathematics in 1867.
Accademia dei Lincei, Palazzo Corsini, Via della Lungara, 10, 00165 Roma RM, Italy
In 1893, Eugenio Bertini became a member of the Accademia dei Lincei.
In 1863 Bertini registered at the University of Bologna, intending to study engineering, but after taking the course taught by Luigi Cremona, he turned to pure mathematics.
In 1866 Bertini fought with Garibaldi in the third war for Italian independence. On the advice of Cremona, he resumed his studies and transferred to the University of Pisa, from which he received his degree in mathematics in 1867.
During the academic year, 1868 - 1869 he attended the course in Milan taught by L. Cremona, F. Brioschi, and F. Casorati. This course, dealing with Abel’s integrals, exerted considerable influence on Bertini’s own research.
In 1870 Bertini began his teaching career in the secondary schools of Milan, and in 1872 taught in Rome. There, on the recommendation of Cremona, he was appointed a special lecturer to teach descriptive and projective geometry.
In 1875 he accepted the professorship of advanced geometry at the University of Pisa.
From 1880 to 1892 Bertini taught at the University of Pavia, and then returned to his former professorship at Pisa, a post he held until his retirement at the age of seventy-five. For the next ten years, he taught an elective course in geometrical complements, which he had started as an introductory course to higher geometry.
Bertini’s research deals particularly with algebraic geometry and constitutes definite progress in relation to the studies pursued by the school of Cremona. In this connection, it is necessary to note that Cremona, having formulated the theory on plane and space transformations that bears his name, availed himself of the same transformations to change higher geometric figures into simpler figures and then apply to the higher figures the properties of the simpler ones. Bertini studied the geometric properties that remain constant during such transformations. He conceived the idea of exploring this field after studying the problem of the classification of plane involutions. In 1877 he succeeded in determining the various types, irreducible from each other, in which the planar involutions may be reduced through Cremona’s transformations. Eugenio Bertini died on February 24, 1933, at Pisa, Italy.