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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.

The project addressed the urgent need for more energy-efficient cooling technologies, which are critical for a sustainable and climate-neutral society. Modern industries such as electronics, renewable energy, and transportation face increas…

Human skeletal remains can offer key information on diverse aspects of past life but, like all archaeological materials, they only give a glimpse into the life of past individuals; hence, a fragmented perspective into our ancestors’ lives.…

This project concerns research on the boundary between analysis, logic and combinatorics, more specifically, investigates problems in descriptive set theory and their interactions with measure theory, dynamical systems, computer science and…

Mutualistic interactions – where both species benefit – lie at the core of many human-relevant microbial communities, such as polymicrobial infections, the human-, plant-, and animal-associated beneficial microbiomes, and synthetic microbia…

The THANAFSI project investigates fluid–structure interaction problems that arise in physical situations where fluids and solids mutually influence each other’s behavior, both in static and dynamic configurations. Understanding these intera…

The development of advanced, energy-efficient, and miniaturized electronic devices is driving the need for new materials and innovative engineering solutions. Among these, two-dimensional (2D) materials, such as graphene and hexagonal boron…

Photovoltaics is today a major pillar for a sustainable and clean electricity generation and contributes significantly to the reduction of carbon dioxide emission. The current technology is based on inorganic semiconductors, mainly crystall…

The project TOKMAT aims to use the mathematical school of intuitionism in order to shed light on how society and science interact. The project focuses on the cultural, personal, and social dimensions of mathematical knowledge in order to be…

Weyl semimetals are a recently-discovered class of materials, which have various unusual properties. For example, they conduct electricity in a manner different from ordinary metals, which may make them useful for building novel electronic…

Europe is facing an unprecedented climate emergency: the record-breaking heatwaves of 2022 caused over 12,000 deaths and the worst drought on the continent in 500 years. A major driver of this crisis is the construction and transportation s…

This is a project in (pure) Mathematics, intimately tied with theoretical/mathematical Physics. The main goal is to generalize previous constructions in complex-algebraic Poisson geometry, representation theory, and low-dimensional topology…

The DefHyp project aimed to explore the deformation theory of infinite-type hyperbolic 3-manifolds, building on the researcher's pioneering work in this emerging area of geometry and topology. The main research objectives, as outlined in An…

Quantum Field Theory (QFT) is the universal framework describing the fundamental interactions of nature. It provides the theoretical foundation for both the Standard Model of particle physics and for the study of critical phenomena in conde…

The GECKO project aims to bridge the gap between Computer-Aided Design (CAD) and Computer-Aided Engineering (CAE) by integrating computational models into industrial workflows. Traditional CAE modeling is slow and error-prone in its preproc…

NOVITAS addressed the need for accurate, efficient and physically reliable numerical tools for the virtual design of ultra-thin deployable composite space structures, with particular focus on deployable booms, TRAC longerons, membranes and…

In a world driven by technological advances, the "SPEEDY" project aims to deepen the understanding of three-dimensional nanomagnetic systems. These systems, with novel and unconventional spin textures, are an exciting platform to explore ne…

CaLIGOLA aims to cross-fertilize with ideas coming from Lie Theory, Integrable Systems and Quantum Groups, multidisciplinary fields, like quantum computing, vision algorithms and machine learning, which need a rigorous mathematical approach…

The celebrated detection of gravitational waves (GWs), the first observation of horizon scale structure of a black hole (BH) together with the developments in the field of numerical relativity, are allowing access to extreme (strong and dyn…

In the last decades, the field of complex dynamical systems has established itself not merely as a stand-alone subject, but as a source of deeply influential examples and paradigms for many other areas of mathematics, including topology, co…

The aim of the present research proposal is to study the influence of stack pressure on the degradation of Na-based solid-state batteries (i.e. dendritic growth) by coupling the electrochemical in-plane cell operation to on-line optical/ele…

Structural biology is being revolutionized by deep learning-based methods that produce high-quality protein structure models. However, current state-of-the-art prediction methods have a key limitation: they generate only static conformation…

Urban air pollution poses a significant threat to public health and the environment, with the majority of Europe's urban population exposed to pollutant levels exceeding the World Health Organization's guidelines. Human activities, particul…

The ModConFlex (Modelling and Control of Flexible Structures Interacting with Fluids) project is centered around two main fields of application. The research provides theoretical foundations in two areas that can contribute to reach the Eur…

Coastal zones are vital socio-ecological systems, supporting biodiversity, economic activities, and the livelihoods of millions of people. Yet, they are increasingly threatened by climate change, coastal erosion, sea-level rise, and human-i…

Cells in the body communicate by exchanging RNA that is associated with extracellular vesicles (EV-RNA). Therefore, analysis of EV-RNA may provide disease biomarkers.

While modern society is heavily dependent on digital technologies, data can be compromised, damaged or disappear due to errors induced by noise, disc failures, untrustworthy servers and malicious cyber-attacks. Transmission and storage of d…

My project aims at proving the usefulness of categorical methods for questions in geometric group theory. Groups are central objects in mathematics: integers form a group under addition, symmetries of an object form a group,...

The rapid evolution of digital technology is shaping a future where self-driving cars, holographic video conferencing, and augmented reality become part of everyday life. However, these advanced applications demand ultra-fast and low-latenc…

The aim of the project is to advance the method of attosecond extreme ultra-violet (XUV) transient reflectivity spectroscopy (XTRS) beyond its current state of the art with the aim to better understand ultrafast electron dynamics in solid s…

The OPENSRUM project focuses on the design optimizations in electric vertical takeoff and landing (eVTOL) aircraft, which are actively under development for electrifying urban air mobility (UAM). This project aims to address the growing nee…

The mathematical analysis of collective dynamics has experienced a prominent growth in the last years, leading to new frontiers with cutting-edge fields in physics, biology and social sciences (e.g. complex networks, active matter or crowd…

Treatment resistance in ovarian cancer (OC) is common. Recently, new treatment approaches with the potential to improve OC management have been identified, but their therapeutic efficacy is limited due to treatment resistance.

Coherent Elastic Neutrino-Nucleus Scattering (CEνNS) is a recently demonstrated novel process of neutrino interaction. It provides numerous avenues to advance our sensitivity to new nuclear and particle physics beyond the Standard Model whi…

Solid electrolytes represent a significant advancement in battery technology, primarily due to their potential to address the key challenges faced by liquid electrolytes, such as safety risks associated with flammability, leakage, and therm…

Sand dunes pose a significant risk for offshore activities in coastal areas and for navigation along the most frequented maritime routes. The presence of sand dunes leads to a significant increase of the flow resistance, which needs to be c…

Black holes are elusive celestial objects: they are formed by collapse of heavy stars and are characterized by an event horizon that prevents us from seeing the atoms they are composed of. Black holes are thermodynamic ensembles, and they p…

The "Cosmic Bridge" project addresses the challenges encountered in data analysis within current and upcoming galaxy surveys, aiming to deepen our understanding of the fundamental nature of the universe. Traditional analysis methods focus p…

Two-phase flows are the flows of two immiscible phases separated by an interface such as, for instance, mixtures of air and water or water and oil. They are ubiquitous in nature and central to many engineering applications, with contributio…

Illegal excavation of archaeological sites to collect historical material culture ("looting") is a pressing problem on a global scale with strong consequences on security, economics, and society. Looting is the main source of income for ter…

The project is focused on exploiting longitudinal and heterogeneous patient data in order to detect their relapse. In Multiple Myeloma (MM), detecting relapse remains a difficult task, with about a third of detections evaluated from painful…

Mathematical statistics is a ubiquitous tool in modern data analysis. However, in typical applications, theoretically supported statistical frameworks cannot be used directly - for instance because they lack closed-form solutions or are too…

The THOR project has explored gravity field modeling and the gravimetry problem around asteroids. These celestial bodies have irregular shapes and heterogeneous density distributions that create a very complex gravity field.

The problem being addressed: We study the generalization behaviour of training with SGD on convex as well as non-convex models. Importance for society: Our work does not have any direct consequence on society, however, our works make progre…

Excepting III-N compounds, the III-V and group-IV semiconductors that underpin contemporary optoelectronics crystallise in a cubic structure. Advances in semiconductor growth enable growth of hexagonal phases of these materials, and allow f…

We investigate the algorithmic complexity of mathematical structures and its connection with notions of complexity studied in descriptive set theory. The main subject area of the planned research is computable structure theory — an area of…

Every year, millions of people are threatened by mosquito-borne diseases such as dengue, chikungunya, Zika, and malaria. Thanks to computational advancements, we can now create agent-based computer models with unprecedented biological reali…

Emission of nitrogen oxides (NOx) is an important contributor to air pollution world-wide. The main sources of NOx emissions are power plants and combustion engines.

The overarching aim of the ANTIQUITATES project is to investigate the quantitative empirical practices of the early modern historical disciplines. The case study of ANTIQUITATES regards antiquarian architecture in the Republic of Venice dur…

Modal logics are a family of formal systems based on classical logic that improve its expressive power allowing to reason about modes of truth: epistemic, doxastic, temporal, normative, information updates, etc. Substructural logics are wea…

In the vast labyrinth of scientific inquiry, amidst the intricate networks of neurons firing within the human brain, lies a fundamental challenge: the absence of a comprehensive method to measure neural activity across the entire brain. Thi…

Funded by the Marie Skłodowska-Curie Actions (RISE H2020), the EffectFact project aims to develop advanced factorisation and Wiener-Hopf methods as well as methods for Riemann-Hilbert problems to solve time-dependent boundary value problems…

The EXPOWER project combines a broad spectrum of key research and training activities on Multi-Exponential Analysis with applications in industry, that are currently being undertaken in some premier research institutes. The network is inter…

Networks are a simple but enormously effective model to represent the interaction of a large number of physical, social or economic systems. Nowadays networks are present in all areas of science, technology and society, from biology to econ…

FuSeGC is a research project in pure mathematics, specifically in geometry. Mathematics is an important tool in theoretical physics: It is the language in which physical theories are written, and large parts of modern fundamental physics ar…

CriticalEarth is a research consortium focused on understanding tipping elements (TEs) in the climate system. TEs are components of the climate system that have the potential to undergo abrupt transitions, such as the Atlantic Meridional Ov…

Metazoans typically keep the same genetic information in all body cells over their life cycle. However, some organisms show exceptions to this rule through programmed DNA elimination from the somatic cell line during embryo development, as…

Coral reefs are being threatened worldwide due to ocean warming, acidification, or other sources of local stress such as pollution. This has triggered in many areas the degradation of reefs into algae-dominated seascapes, where coral cover…

The Hyper-Kamiokande (Hyper-K) experiment addresses several significant problems in fundamental physics and our understanding of the universe. One key issue is the need to unravel the mysteries surrounding neutrinos, which are elusive parti…

The project aims at reconstructing Leibniz’s conception of number and his mathematical notion of infinite in light of his mereological theory (i.e. the theory of the parthood relation) of quantity.

The goal of this project is the extension of our knowledge about the structure and statistics of eigenvalues and eigenvectors of random matrices. Random matrix statistics are paradigms for collective behaviours arising when many strongly co…

Induced seismicity refers to earthquakes related to human activity and can be caused by a range of industrial activities involving underground fluid injection operations such as Enhanced Geothermal System (EGS), Carbon Capture and Storage (…

1. What is the problem being addressed?

The aim of the EMPHABIOSYS project is to understand proteins, the molecular machines of life that are key actors in virtually all biochemical processes within the cell. At a biochemical level, proteins are short chain molecules built from a…

1. Aerospace propulsion is intrinsically related to the passage of supersonic flows across a throat.

String theory is one of the leading theory for quantum gravity and unification. As such, it provides a complete description of the fundamental aspects of our Universe.

The TraDE-OPT project aimed to train 15 experts in optimization for data science, equipping them with a strong multidisciplinary background to advance the state of the art. In today's world, data is generated at an unprecedented scale.

Manufacturing is undergoing what many identified as "a fourth industrial revolution": production lines are becoming complex networked systems, equipped with teams of robots that manipulate products and take care of the logistics and shop-fl…

The EU project ``Eagre: high-seas wave-impact modelling'' (project no. 859983) has established numerical wavetanks with which we have analysed the effects of extreme waves and wave-wind-turbine interactions, for deployment in the maritime-e…

The mathematical study of coupled dynamical systems, i.e. systems with multiple components that interact with one another, started with the formulation of Newton’s universal law of gravitation when astronomers and mathematicians addressed t…

The MEPHOS team has designed, developed, and tested novel therapeutic strategies, drug delivery systems, and nanomedicines for the treatment and management of osteoarthritis (OA). Osteoarthritis (OA) is a chronic disease caused by the progr…

Questions related to the fate of singularities in black holes or in cosmological situations are a sign that our current theory of geometry breaks down in such extreme conditions and should be replaced by a more complete, fundamental theory.…

PANGAIA is a network of researchers who are working on laying down the algorithmic foundations of graph pangenomics, a new computational field that aims to renew genome informatics by replacing the notion of linear reference genome with a m…

Angiogenesis is the process leading to the formation of new blood vessels from pre-existing ones. This phenomenon is crucial for health and diseases, such as cancer and ischemia.

This Marie Skłodowska Curie Action (MSCA) titled "Stringy geometry: quantum corrections and the fate of string compactifications from spacetime and the worldsheet" used and developed new geometric and mathematical structures to understand q…

Enteric viruses are a prevalent group of human pathogens with a great clinical and socio-economic impact. Recently, it has been described that in vivo infection by enteric viruses is dependent on the model of multiple infection unit (MIU),…

Prostate cancer (PCa) is a public health burden and a major concern among ageing men worldwide. Although the vast majority of PCa cases are currently detected at an early stage thanks to regular screening, their severity may vary wildly acr…

Accurate prediction of macromolecular structure and function is a key challenge in many fields, from designing new nanomaterials to drug discovery. Nanoparticles, nanochannels, proteins, and other biomolecules are typically charged, and thi…

Advances in the fabrication of ultra-pure low-dimensional materials have led in recent years to the emergence of a new area of research – hydrodynamic electronics. This cutting-edge field investigates how electrons behave like a fluid in ul…

Virtual prototyping is a cornerstone in modern industrial product development cycles, as it is used to accelerate the design process, reduce the cost associated with real prototypes and improve the final product’s performances. The European…

Geometry is everywhere. Using digital technology to automate and facilitate the use of geometric shapes is the focus of GRAPES.