Topology is a branch of mathematics concerned with properties of objects, which are preserved under continuous deformations, including stretching and bending. In past few years a new field of topological insulators and superconductors has emerged in condensed matter physics, based on the

Bernoulli convolutions are a family of natural self-similar measures on the real line. Their study was pioneered by a young Paul Erd%C3%B6s in 1939, and many challenging problems remain to this day. The course will introduce the main properties of Bernoulli convolutions, especially in regards to

The course concerns nonlinear optimization, more specifically so-called nonlinear programming problems, which are defined by smooth linear or nonlinear constraint functions. We will present modern methods for solving nonlinear programs. In particular, sequential-quadratic programming methods and

The Web bears the potential of being the world%E2%80%99s greatest encyclopedic source, but we are still far from fully exploiting this potential. Valuable scientific and cultural content is interspersed with a huge amount of noisy, low-quality, unstructured text and media. The proliferation of

The numerical treatment of the multi-dimensional problems of scientic computing requires nonstandard numerical methods since the computational complexity of the traditional approaches scales exponentially in the dimension d. Recent tensor numerical approximation provides the efficient

The course will cover how to study structure and function of biological macromolecules, mainly proteins, by multidimensional multinuclear NMR spectroscopy. The objective is to master the basic theoretical principles and to obtain skills for sample preparation, data collection, data analysis and

Importance of separation in analytical chemistry, classification of separation techniques, steps in analytical method development, laboratory exercises in the analysis of environmental samples. The course will facilitate research and teaching into chemical systems/processes in the environmental and

Are you drowning in high-throughput amplicon (marker gene) sequence data? How to filter it, cluster it, classify it and extract some ecological information from those hundreds of thousands of reads of variable quality? More and more microbial ecologists and environmental scientists now have

Zebrafish are increasingly being used as animal model in neuro-behavioural and neuro-endocrine research. Reasons for this are, among others, the low costs, easy management and a well-defined genome. Given this, zebrafish now replace mice in many paradigms. While this may be valid from one

Today's youths are facing a world increasingly saturated with advertisements. In addition to traditional marketing venues like television and radio, they now encounter advertising messages on the internet, on their smart phones, in films and in video games. The commercial media environment offers