1945 - He received his doctorate in mathematical sciences in Paris, after which he became a professor at the University of Nancy.
1950 - Schwartz was awarded the Fields Medal at the International Congress of Mathematicians in Cambridge, Massachusetts, U.S for his work on the theory of distributions, or generalized functions.
1951 - Schwartz's publications include Théorie des distributions “Theory of Distributions”.
1953 - He joined the Faculty of Science.
1956 - Mathematical Methods in Physics.
1959 - He served as a professor of analysis at the École Polytechnique, Palaiseau.
1969 - Applications of Distributions to the Theory of Elementary Particles in Quantum Mechanics.