Weickert did his undergraduate studies at the University of Kaiserslautern and then stayed there as a graduate student, earning his doctorate in mathematics in 1996 under the supervision of Helmut Neunzert; his dissertation was entitled Anisotropic diffusion in image processing. After taking postdoctoral research positions at the University of Utrecht and the University of Copenhagen, he became an assistant professor at the University of Mannheim, and earned a habilitation degree there in 2001. In 2002, he took a faculty position as a full professor at Saarland University.
- Gottfried Wilhelm Leibniz Programme: 2010: Prof. Dr. Joachim Weickert, DFG, retrieved 2012-04-18.
- "Saarbrücker Forscher Joachim Weickert mit Leibniz-Preis ausgezeichnet", Saarbrücker Zeitung (in German), March 15, 2010.
- Joachim Weickert at the Mathematics Genealogy Project
- Faculty profile, Saarland University, retrieved 2012-04-18.