This proceedings volume contains peer-reviewed, selected papers and surveys presented at the conference Spectral Theory and Mathematical Physics (STMP) 2018 which was held in Santiago, Chile, at the Pontifical Catholic University of Chile in December 2018. The original works gathered in this volume reveal the state of the art in the area and reflect the intense cooperation between young researchers in spectral theory

and mathematical physics and established specialists in this field. The list of topics covered includes: eigenvalues and resonances for quantum Hamiltonians; spectral shift function and quantum scattering; spectral properties of random operators; magnetic quantum Hamiltonians; microlocal analysis and its applications in mathematical physics. This volume can be of interest both to senior researchers and graduate students pursuing new research topics in Mathematical Physics.

Georgi Raikov obtained his PhD in Mathematical Physics at Leningrad (St. Petersburg) State University, Russia, in 1986, and a higher doctoral degree D.Sc. in Mathematics in 1992 at the Bulgarian Academy of Science where he worked in the period 1987-2000. Since 2001 Georgi Raikov has been working in Chile, and at the moment he is a Full Professor at the Faculty of Mathematics of the Catholic University of Chile. His research areas are analysis, partial differential equations, mathematical physics, spectral and scattering theory of self-adjoint operators.