Diploma in physics, Free University Berlin, 1969. Doctor of Philosophy, Free University Berlin, 1972. Habilitation, Free University Berlin, 1979.
The family found a new home in Kempten im Allgäu, Bavaria. Furrer stayed there until he joined the University of Kiel to study physics. He later transferred to the Free University of Berlin, where he received a diploma in 1969, and a doctorate in 1972.
During his time as a student in Berlin, he was involved in the building of the 145 m long "Tunnel 57" below the Berlin Wall, which was the escape route of 57 people from East Berlin to the West.
In 1974 he became assistant professor in Stuttgart and in 1979 qualified for full professorship. He spent time during 1980-1981 at the University of Chicago and during 1981 at the Argonne National Laboratory in Chicago, United States of America. In 1977 Furrer applied for selection as an astronaut for the first Spacelab mission.
He made it into the final round of candidates, although Ulf Merbold was finally selected. In 1982, the astronauts for the first German Spacelab mission were selected from the finalists for the first mission, and Furrer was one of the two chosen.
He was a payload specialist on STS-61-A (D1), which was launched October 30, 1985.
The other payload specialists on the flight were Ernst Messerschmid and Wubbo Ockels (Netherlands). After his spaceflight he became a professor in 1987 as well as the Director of the Institute of Space Sciences at the Free University of Berlin. Furrer was an avid pilot.
He earned his pilot license in 1974, doing several long distance trips with one engine planes - including a flight over the inland ice of Greenland in 1979 and a solo flight from Germany to Quito, Ecuador in 1981.
His love for planes finally cost him his life, as he died in a plane crash during a flight show on the Johannisthal Air Field (Berlin). He was a passenger on a flight of the historic Bf 108 after the end of the official flight show when the pilot Gerd Kahdemann lost control of the plane shortly after 6:00 p.m Both Kahdemann and Furrer were killed immediately.
Member of advisory board Rundfunk im amerikanischen Sektor-television, Berlin, 1987-1992, German Ministry of Science, since 1992, active Aspen Institute, Berlin, since 1989. Member board of trustees W.V. Braun Foundation, Berlin, since 1989. Member Association Space Explorers, German Society Aeronautics and Astronautics, German Physical Society, Herman Obert Society (honorary).