This is the 12th conference in the QMath series, taking place at the Humboldt University of Berlin from September 10th to 13th, 2013.

In the tradition of the previous conferences, this meeting provides an international forum for presentation and discussion of new results and the state of the art in the "quantum part" of mathematical physics and to bring together researchers from this field.

We are happy to welcome renowned plenary speakers such as Ari Laptev, Amandine Aftalion, Israel Michael Sigal, Gueorgui Raykov and many more. Contributed talks will be given in 5 sections devoted to specific topics; the highlights of each section will be the plenary talks.

We look forward to welcoming you to QMath12 in Berlin!

Wolfgang König & Hagen Neidhardt