University of Copenhagen

This course provides the analytic background behind quantum information theory in the framework of operators on Hilbert spaces and functional analysis. Topics include completely positive and completely bounded maps; operator systems and spaces; Choi representation and Kraus operators; Stinespring's representation theorem; tensor products; quantum measurements and related sets of correlations; entanglement; Schmidt decompositions; and factorizable channels and applications in quantum information theory.

The course covers chromatographic separation of small molecule organic compounds with special emphasize on the molecular mechanism and theory of analyte-column interactions for gas, supercritical fluid and liquid chromatography, and the theory of ionization, fragmentation, mass-to-charge separation, ion detection and data interpretation for all common mass spectrometers and ionization techniques. 

This course develops a hands-on approach by learning and applying the methods of behavioral economics to public policy. It reviews research on human decision making from psychology, political science, organizational behavior, and economics and looks for easy‐to‐implement solutions. The course builds skills to identify human biases and creatively design behavioral interventions, policies, or products that help people make better decisions.

This course offers a study of state-of-the-art research within the field of environment, society, and development with a specific focus on understanding theoretical approaches to development geography and coupled human-environment systems in the Global South. It provides the theoretical and historical foundations for understanding contemporary sustainability agendas, including approaches to sustainable development. The first part of the course focuses on societal transformation processes in urban and rural areas and discusses how contemporary scholars theorize and explore urbanization and rural transformation processes in the Global South. The second part of the course focuses on the dynamics of coupled human–environmental systems and the multiple conceptual models that have been proposed to understand this complex relationship, including cultural, human, and political ecology; land use intensification; land system science; sustainability science; and resilience and vulnerability approaches. The course discusses approaches that relate to interactions between the human and environmental spheres.