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16-08-2018 | @ iStock

The double life of water

Water is a peculiar liquid. In fact, it's thanks to some of its peculiarities that our "blue" planet looks the way it does, and that life has evolved most of the characteristics we recognise today. ERC grantee Prof. Anders Nilsson has made his career out of studying water, in particular trying to understand the secret double life water leads at extremely cold temperatures.

08-08-2018 | © Image: istockphotos.com

Classifying 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 | © picture

New 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 | © picture

Statistical 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 | Rayleigh Taylor Instability ©DYCON

New 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 | ©HITS (Heidelberg Institut für Theoretische Studien)

Understanding 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 | © picture

Unravelling 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 | © picture

Getting 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.

29-06-2018 | © Anatomy Insider, Shutterstock

Organoids in the fight against cancer

Colorectal cancer (CRC) is the second most common cause of cancer-related deaths. European researchers developed novel ex vivo three-dimensional organoid cultures that replicate genetic events in CRC, as tools to test novel therapeutics.

04-05-2017 | Portrait: © QuTech | Illustration: Laser setup. Lasers are used to control and readout the electron in the defect center in diamond. The electron serves as an interface between nuclear spins and photons.© Klapstuk Studio

Critical challenges in quantum applications

After the birth of quantum mechanics in the early 20th century, this branch of physics evolved from being primarily the conceptual framework for the description of subatomic particle phenomena to providing inspiration for new technological applications. New hybrid architecture of quantum systems is now being developed in order to foster the implementation of cutting-edge quantum technologies.