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The ERC-funded ONOFF project is building upon previous efforts to better understand auditory hallucinations (AH) in patients with schizophrenia. Its results could lead to new cognitive and pharmacological treatments.
Agnieszka Wykowska is a senior researcher of the Social Cognition in Human-Robot Interaction at the Italian Institute of Technology (Istituto Italiano di Tecnologia) in Genova, Italy. In 2016 she has been awarded an ERC Starting Grant for her project “Intentional Stance for Social Attunement” whose goal is to investigate if humans are ready to engage in social interactions with humanoid robots. Dr Wykowska will present her findings at the ERC's conference Frontier Research and Artificial Intelligence.
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.
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.
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.
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.
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.
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.
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.
A number of factors have played an important role in the evolutionary success of the human species. One of the undeniably fundamental factors has been our inherent ability to communicate. This capacity to perceive, respond to and coordinate behaviour with others has not only allowed us to survive, but also to thrive. The ERC-funded project SOCIAL ROBOTS headed by Prof. Emily Cross is aiming to gain a deeper understanding of the intricacies of how we comprehend and coordinate our actions with other people and with robots to achieve mutual goals.