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08-08-2018

3013Classifying von Neumann algebras

Group theory, functional analysis and ergodic theory – three distinct areas of mathematics that meet within the theory of von Neumann algebras. The RIGIDITY project, funded by the ERC, aims to classify families of von Neumann algebras.

06-08-2018

3012New tools to understand the large-scale behaviour of complex systems

Understanding complex structures means separating irrelevant information to get to something simpler and easier to understand. When you look at something from a distance – although you don’t see all the details, you can still describe what you see. ERC grantee Balázs Szegedy has developed several mathematical tools for providing a compressed yet useful view of complex structures.

03-08-2018

3005Statistical inference for random functions and measures

How does one infer the dynamics of a DNA minicircle in solution? How does one align the neuronal firing patterns of several neurons across individuals? These questions are intrinsically statistical, but nevertheless escape the traditional tools of statistics. The ComplexData project investigated such questions from a mathematical and an applied context.

03-08-2018

3011New approaches to controlling dynamics

Once limited to modelling physical problems in engineering, today Partial Differential Equations (PDEs) are used by a diverse array of fields, from natural resources to meteorology, aeronautics, oil and gas and biomedicine – to name only a few. But key mathematical issues remain unsolved, particularly when addressing their control, a must in technological transfer. The ERC-funded DYCON project aims to find answers.

02-08-2018

3006Understanding the deformation spaces of geometric structures

Funded by the ERC, Prof. Anna Wienhard studies several new geometric forms that have been discovered over the past 20 years. These structures are closely related to the generalisation of Teichmüller space, which describes how the surface of a pretzel can be endowed with the geometry of an Escher painting.

01-08-2018

3010Unravelling the mysteries of homogeneous dynamics

How do you study arithmetic objects like integer points using the theory of dynamical systems? The answer is homogenous dynamics, and this connection goes both ways. The GMODGAMMADYNAMICS project, funded by an ERC grant, took a broad approach towards studying this rich interplay.

30-07-2018

2993Getting to grips with (slow) chaos

Chaotic systems are everywhere: the weather, molecules in a gas, the stock market. Small variations in initial conditions can lead to a drastically different time evolution, a phenomenon known as the butterfly effect. Systems can be classified according to how fast different, nearby initial conditions diverge in time. Supported by the ERC, Prof. Corinna Ulcigrai is investigating systems for which nearby initial conditions diverge slowly in time, to uncover mechanisms which explain their complex behaviour.

25-07-2018

2987Cerebral organoids: an innovative treatment for neurological disorders

Being able to generate human tissue in vitro in a dish is expected to revolutionise biomedical research. European researchers generated brain organoids to study the mechanisms of various neurological disorders and discover novel drugs to treat them.

12-07-2018

2967Putting the CRISPR back in bacteria

CRISPR is a widely used molecular biology tool exploiting an immune process discovered in bacteria. Dr David Bikard studies CRISPR in bacterial cells, in conjunction with different DNA repair systems, to create even newer tools. He hopes to gain insight into bacterial genetics, and develop increasingly effective medical treatments.

11-07-2018

2966EU grants: paving the way for young researchers

Originally from Gijón (Spain), Prof. Eva Hevia is Professor of Inorganic Chemistry at the University of Strathclyde, in Glasgow (UK). First an Erasmus student, then a recipient of both Marie Skłodowska-Curie and ERC grants, she believes that each of these three EU funding schemes has represented a milestone at different stages of her career and has paved the future of her research.