SUMMER  GRADUATE SCHOOL IMUS- MSRI-2016 MIXED INTEGER NONLINEAR PROGRAMMING: THEORY, ALGORITHMS AND APPLICATIONS SEVILLE (SPAIN), JUNE 20TH- JULY 1ST, 2016. This school is an exceptional event that will take place once and it is oriented to the presentation of theory, algorithms and applications for the solution of MIXED INTEGER NONLINEAR PROBLEMS (MINLP). Its goal is to present, in a unified way, the current theory together with the more recent algorithms designed to address some families of problems; we will also introduce the participants to the use of specific solvers devoted to formulate and to solve instances of these problems. The lecturers will start with basic concepts, in order to be interesting for beginners, finalizing discussing advanced topics of this emerging area of mathematical optimization.   This school is intended for PhD students and young researchers (a maximum of 30) who wish to advance knowledge or to gain expertise in this specific field. MSRI and the local organizers will select a number of candidates (between 20-25) that will receive a grant to support their expenses to attend the school.  The registration deadline is February 20^th^, 2016. LECTURERS: JEFF  LINDEROTH, University of Wisconsin-Madisson, USA. ROBERT WEISMANTEL, ETH Zurich, Switzerland. The program activities is organized in two lectures taught in the mornings Lectures: 1. The Theory of Mixed Integer Non-linear Programming. (Robert Weismantel, ETH Zurich, Switzerland.) 2. Modeling aspects and applications of Mixed Integer Non-linear programming. (Jeff  Linderoth, University of Wisconsin-Madison, USA.) Problem solving and applications sessions will be organized during the afternoon, and led by the TAs. These sessions will be devoted to working on problem sets, on real life applications, and on various projects developed by the students. Lab sessions with available MINLP solvers will also be included. A cornerstone of the program is having students’ presentations about basic topics in the field. This allows students, even those with a more limited background, to work with source materials, and to practice lecturing about what they learn. We will ask students to prepare short (25-30 minute) talks on research papers of their choice. We will guide them in the preparation of their talk, as well as provide constructive criticisms of their presentation. The Course will be held at IMUS, the Institute of Mathematics of the University of Seville, from June 20th till July 1^st^, 2016 (http://www.imus.us.es/IMUS-MSRI2016/es/ ) and will be co-organized by the MSRI (Berkeley), the IMUS Universidad de Sevilla and it is partially supported by EURO. The course has been approved by the MRSI board and additional information is available at http://www.msri.org/summer_schools/773 . LOCAL ORGANIZERS:   _FRANSCISCO J. CASTRO_, Universidad de Sevilla, Spain. _ELENA FERNÁNDEZ_, Universidad Politécnica Cataluña, Spain. _JUSTO PUERTO_, Universidad de Sevilla, Spain.