In 1900 Grossmann graduated from the
Federal Polytechnic School (ETH) and became an assistant to the geometer
Wilhelm Fiedler. He continued to do research on
non-Euclidean geometry and taught in high schools for the next seven years. In 1902, he earned his doctorate from the
University of Zurich with the thesis
Ueber die metrischen Eigenschaften kollinearer Gebilde (translated
On the Metrical Properties of Collinear Structures) with Fiedler as advisor. In 1907, he was appointed full professor of descriptive geometry at the Federal Polytechnic School. As a professor of geometry, Grossmann organized summer courses for high school teachers. In 1910, he became one of the founders of the
Swiss Mathematical Society. He was an Invited Speaker of the
ICM in 1912 at
Cambridge and in 1920 at
Strasbourg.
Collaborations with Albert Einstein Albert Einstein's friendship with Grossmann began with their school days in Zürich. Grossmann's careful and complete lecture notes at the Federal Polytechnic School proved to be a salvation for Einstein, who missed many lectures. Grossmann's father helped Einstein get his job at the Swiss Patent Office in
Bern, and it was Grossmann who helped to conduct the negotiations to bring Einstein back from Prague as a professor of physics at the Zurich Polytechnic. Grossmann was an expert in
differential geometry and
tensor calculus, the mathematical tools which would provide a proper mathematical framework for Einstein's work on gravity. Thus, it was natural that Einstein would enter into a scientific collaboration with Grossmann. It was Grossmann who emphasized the importance of a non-Euclidean geometry called
Riemannian geometry (also
elliptic geometry) to Einstein, which was a necessary step in the development of Einstein's
general theory of relativity.
Abraham Pais's book on Einstein suggests that Grossmann mentored Einstein in
tensor theory as well. Grossmann introduced Einstein to the
absolute differential calculus, started by
Elwin Bruno Christoffel and fully developed by
Gregorio Ricci-Curbastro and
Tullio Levi-Civita. Grossmann facilitated Einstein's unique synthesis of mathematical and theoretical physics in what is still today considered the most elegant and powerful theory of gravity: the general theory of relativity. The collaboration of Einstein and Grossmann led to a ground-breaking paper, "Outline of a Generalized Theory of Relativity and of a Theory of Gravitation", which was published in 1913 and was one of the two fundamental papers which established Einstein's theory of gravity. ==Death==