He was born in 1865 in Walk, Livonia, in the family of a poor Baltic German merchant. In 1884, after graduating from a German school in Viljandi, he entered the faculty of physics and mathematics at the University of Tartu. In 1893 Bohl was awarded his Master's degree. This was for an investigation of quasi-periodic functions. The notion of quasi-periodic functions was generalised still further by Harald Bohr when he introduced almost-periodic functions. He has been the first to prove the three-dimensional case of the Brouwer fixed-point theorem, but his work was not noticed at the time.
^A. D. Myskis I. M. Rabinovic The first proof of a fixed-point theorem for a continuous mapping of a sphere into itself, given by the Latvian mathematician P G Bohl (Russian) Uspekhi matematicheskikh nauk (NS) Vol 10 (N° 3) (65) (1955) pp 188–192