Education
He graduated in mathematics in 1935 and immediately undertook a university career. In 1942 he was lecturer in geometry (he had studied algebraic geometry under the guidance of Federigo Enriques and other Roman mathematicians).
He graduated in mathematics in 1935 and immediately undertook a university career. In 1942 he was lecturer in geometry (he had studied algebraic geometry under the guidance of Federigo Enriques and other Roman mathematicians).
He taught geometry and probability theory at the Faculty of Statistical Sciences, University of Rome. Probability theory became the main topic of his interests and he taught this discipline until his premature death. His research interests are attested by seventy publications and ten printed books, ranging across a broad spectrum of topics: algebraic geometry, the random sampling theory, the probabilistic analysis of experiments and especially the theory of random variables.
This topic is certainly one of the most attractive for Pompilj because he found in it a fruitful field for the application of geometric concepts and because it could represent the unification of fields(not merely formal) of probability and statistics.
Among the many initiatives taken to facilitate statistical studies in Italy, a special mention must go to "Courses of Statistical Methods for Researchers", which he organized in Rome in 1958. The lessons taught in these courses by a large number of distinguished professors were collected in several volumes, which still provides one of the most comprehensive presentations in this field