ABSTRACT
In this Summer School, held at UC Santa Barbara, we bring together experts in kinetic theory, quantum mechanics, and partial differential equations. The main topic of the discussion will be the modeling, analysis, and simulations of complex systems using quantum and kinetic theories. There will be four minicourses by the following speakers:

Nicola Bellomo, Politecnico di Torino, Italy, 'Toward a Mathematics for Living Systems'.

Éric Cancès, CERMICS  Ecole Des Ponts, Paris, France, ' Density Functional Theory: models and numerical methods'.

Lenya Ryzhik, Stanford University, USA, 'Transport in Random Media'.

Luis Vega González, Universidad del País Vasco and Basque Center for Applied Mathematics, Bilbao, Spain, 'Delta shell interactions for Dirac Hamiltonians'.
In addition there will be short seminars by both junior and senior researchers. We plan to have sufficient free time to foster discussion and facilitate new collaborations. GOALS
The goal of this school is to provide introductory courses that will help achieve a solid mathematical foundation on a number of research areas including quantum mechanics, kinetic theory, and disordered systems. REGISTRATION REQUESTEDInvited participants can RSVP and provide the additional requested information about their stay, including the title and abstract of proposed talks, here. Applications for participation can be made through the Online Application. Due to space limitations, these requests are subject to approval by the organizers. The registration deadline is April 20, 2016. ORGANIZERS

CONFIRMED PARTICIPANTSName  Affiliation  Nicola Bellomo  Politecnico di Torino  Eric Cances  Ecole des Ponts and INRIA  Biagio Cassano  Basque Center for Applied Mathematics  Lihui Chai  University of California, Santa Barbara  Hongxu Chen  University of WisconsinMadison  Heyrim Cho  University of Maryland, College Park  Silvia Comelli  University of California, Santa Barbara  Daniel B. Cooney  Princeton University  Kathleen Craig  University of California, Santa Barbara  Aditya Dhumuntarao  University of Cambridge  Di Fang  University of WisconsinMadison  Bretton Fletcher  University of California, Santa Barbara  Carlos J. GarcíaCervera  University of California, Santa Barbara  Hailong Guo  University of California, Santa Barbara  Massy Khoshbin  University of California, Santa Barbara  Lan Liu  University of California, Santa Barbara  Di Liu  Michigan State University  Shane Lubold  Arizona State University  Diana Mandar  Jakarta State University  Kyle Mylonakis  University of California, Santa Barbara  Ángel R. RodríguezRozas  University of Basque Country (UPV/EHU) & BCAM  Basque Center for Applied Mathematics  Lenya Ryzhik  Stanford University  Beniada Shabani  Stanford University  Ruiwen Shu  University of WisconsinMadison  Changhui Tan  Rice University  Luis Vega Gonzalez  University of the Basque Country and Basque Center for Applied Mathematics (BCAM)  Yingwei Wang  University of WisconsinMadison  Li Wang  SUNY Buffalo  Xu Yang  University of California, Santa Barbara  Yuhua Zhu  University of WisconsinMadison 
FUNDINGA limited amount of travel and local lodging is available for researchers in the early stages of their career who want to attend the full program, especially for graduate students and postdoctoral fellows. INFORMATION FOR PARTICIPANTSUCSB Visitor Guide Department of Mathematics, UCSB (UCSB) Department of Mathematics South Hall, Room 6607 University of California Santa Barbara, CA 93106308 Santa Barbara, CA Email: cgarcia@math.ucsb.edu ACKNOWLEDGMENT Funding provided by the NSF through the KInet Grant. Additional support was provided by the NSF Grant DMS 1065942 and by the Department of Mathematics at University of California, Santa Barbara. 