Foias began teaching at the University of Bucharest in 1954.[1] From 1958 to 1978 he was a researcher at IMAR, and from 1966 to 1978 he was a professor in the Faculty of Mathematics at the University of Bucharest.[1][5] In recognition of his growing international reputation, he was named doctor docent in 1968.
Foias was an invited speaker at the International Congress of Mathematicians (ICM) in Nice in 1970, and again at the ICM in Helsinki in 1978. Following his lecture in Helsinki, he defected to France, and then taught at the University of Paris — XI from 1979 to 1983. He later emigrated to the United States, where he was a professor at Indiana University from 1983 until retirement. Beginning in 2000, he was a teacher and researcher at Texas A&M University, where he was a Distinguished Professor.[1]
with Ion Colojoară [ro]: Theory of generalized spectral operators. Gordon and Breach, 1968. MR0394282
with Béla Szőkefalvi-Nagy: Harmonic analysis of operators on Hilbert Space. North Holland 1970 (Translated from the French; first edition: Masson 1967). MR0275190
with Hari Bercovici, Carl Pearcy: Dual algebras with applications to invariant subspaces and dilation theory. CBMS Regional Conf. Ser. in Math., vol. 56, American Mathematical Society, 1985. MR0787041
with Peter Constantin, Roger Temam, and Basil Nicolaenko: Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations. Springer-Verlag, Applied Mathematical Sciences Series, volume 70, 1988.
with Hitay Özbay, Allen Tannenbaum: Robust control of infinite dimensional systems. Springer, 1995.
