For teachers

Sunlight is abundant, but figuring out how to efficiently grab that energy and convert it into something useful, like electricity for our homes, is a big puzzle. This research project dives into the world of a special type of molecules call…

The scientific aim of the MSCA-DN BeyondTheEdge is to identify the role of nonpairwise ‘higher-order’ interactions in the emergence of complex dynamical behaviour of networks of interacting units. Traditionally, networks are equated with gr…

Understanding how fluids and heat move through fractured rocks is essential for many subsurface technologies, including geothermal energy production, groundwater management, underground energy storage and environmental remediation. In fract…

For the first 24 months of the project, the project has been implemented in line with the overall objectives. In terms of theoretical advances, we have had new results on the study of tensor spaces (objective 1), including generalized addit…

The aim of the MSCA-DN project CaLiForNIA is to provide a novel interdisciplinary training to a new generation of researchers in the key theoretical areas of Cartan geometry, Lie theory, and representation theory, as well as their quantum c…

Historically, major storms, the associated storm surges and rainfall have posed the biggest threat to life and property around coastlines and along rivers. However, in the age of global warming and accompanying sea level rise the confluence…

Important aspects of the dynamics of complex systems ranging from the Earth’s climate to the cell cycle can be mathematically modeled using ordinary differential equations. However, direct analysis or numerical simulation is rarely possible…

Turbulence is one of the most important mechanisms that govern our environment, affecting air travel, prediction of ocean surface and weather forecasting. As put in relevance by the 2021 Nobel prize to Giorgio Parisi, approximate theoretica…

Mercury (Hg) is a toxic heavy metal that bioaccumulates in aquatic food chains, endangering human health through the consumption of seafood. The atmospheric chemistry of Hg determines how far it can be transported and where it will ultimate…

Experimental evidence indicates that fluid filtration through unsaturated porous media exhibits a hysteretic behavior, originating at a microscopic level from surface tension at the point of contact between water and air in the pores. As a…

Computation is a central aspect of our lives. Even when we are not consciously aware of it, we are often manipulating information to produce new information by applying a set of formal rules.

The security of data has never been more valuable. Today, cryptography is critical to the safe operation of digital infrastructures.

PorMatDesign set out to develop a computationally feasible framework for the multi-scale design and optimization of porous materials, whose microscopic structure determines their overall mechanical and hydraulic performance. Such materials…

This project aims to develop an automatic and reproducible analysis tool for magnetic resonance imaging (MRI) images based on machine learning and deep learning techniques, with the goal of extracting clinically relevant metrics to improve…

In this project, we study groups called braid groups. Suppose we have a disc, and we fix n points in that disc, where n is some whole number.

The project was dedicated to two families of geometric invariants, ubiquitous in different areas of theoretical mathematics, as well as computer science, and the physics of quantum computations. These are called systoles and diastoles.