Bürgisser received in 1990 his doctorate from the University of Konstanz with thesis Degenerationsordnung und Trägerfunktional bilinearer Abbildungen[1] under the supervision of Volker Strassen.

Bürgisser was a visiting scholar at the Simons Institute for the Theory of Computing in Berkeley.

In 2010, he was an invited speaker with talk Smoothed Analysis of Condition Numbers[6] at the International Congress of Mathematicians in Hyderabad.

[8] In Bürgisser`s youth, he acted in four short-films by his school-mate Roger Steinmann as lead-actor.

'Die Flutkatastrophe' and 'Die Türe` were aired in the Swiss national TV DRS, the latter accompanied with an interview with Bürgisser.