Appointed Privatdozent (lecturer) at the University of Berlin at the exceptionally young age of 24. This position allows him to lecture on his research without a fixed salary.

Moves to the University of Hamburg as a Privatdozent, continuing his research and lecturing. He continues his work in foundations of mathematics, quantum mechanics, and operator theory.

Publishes groundbreaking work formalizing the mathematical framework of quantum mechanics. He applied Hilbert space theory to provide a rigorous basis for quantum mechanics, clarifying the roles of observables and states.

Publishes his first major paper on game theory, 'Zur Theorie der Gesellschaftsspiele' ('On the Theory of Parlor Games'). This paper lays the groundwork for the field of game theory, demonstrating the existence of optimal strategies in two-person zero-sum games.