She was born April 9, 1894 in Jaslo, Poland (then known as Galicia). She attended secondary school in Poland and then moved to Austria to attend the University of Vienna for the mathematics and physics program. She grew up in a family of Jewish merchants and by 1920, they were worried about the rising anti-Semitism in Europe, so they moved to Canada to escape. Kreiger didn’t know a lot of English so she took private lessons, in order to continue her education in Canada. During her summers she worked at an inn in Muskoka, Ontario to be able to pay for tuition.
After getting a BA in mathematics at the University of Toronto, she started her graduate studies there as well, focusing on principles of mechanics and number and set theory. She completed her masters in 1925 and started working on doctorate work under W.J. Webber. Her research focused on theory of functions and calculus. Her dissertation was “On the summability of Trigonometric series with localized properties—on Fourier constants and convergence factors of double Fourier series”. It was published in two parts, one in 1928 and one in 1930 in the Transactions of the Royal Society of Canada. She completed her PhD in 1930.