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Education

After studying in Dorohoi and Bucharest, he went to France, where he studied mathematics at the University of Paris (the Sorbonne). He obtained a Doctor of Philosophy degree in mathematics in 1905 with a thesis, On the continuity of complex variable functions, written under the direction of Henri Poincaré.

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Career

After returning to Romania, he was named Professor of Mechanics at the University of Iaşi. In 1912, he assumed a chair at the University of Bucharest. His contributions were mainly in the field of mathematical analysis, complex functions theory, and rational mechanics.

In an article published in 1929, he posed a challenging conjecture in integral geometry, now widely known as the Pompeiu problem.

Among his contributions to real analysis there is the construction, dated 1906, of non-constant, everywhere differentiable functions, with derivative vanishing on a dense set. Such derivatives are now called Pompeiu derivatives.

## Membership

In 1934, he was elected member of the Romanian Academy.