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Understanding the physics of extreme astrophysical phenomena like pulsars and black holes remains a profound challenge in astrophysics. Our understanding is shaped by astrophysical observations of the broad radiated light spectrum, indirectly characterizing high-energy particles that could be produc

Economic growth and productivity have been slowing down in advanced economies for decades, raising concerns given society's expectations of continuous growth. Despite total factor productivity growth in the Eurozone dropping from 3.1% (1950-1990) to 0.65% (1990-2022), there was a surge in patent fil

The study of spectral properties of locally symmetric spaces, particularly hyperbolic manifolds, stands as a central objective of abstract harmonic analysis, with far-reaching implications across mathematics. Despite the diverse range of tools employed to establish spectral estimates in this context

Quantum computing has the potential to dramatically improve computational power by harnessing the intrinsic properties of quantum mechanics. Despite advancements in the development of solid-state qubits, significant limitations remain with respect to control and scalability, making the search for op

This project lies at the crossroads of analysis, geometry and probability theory. DiAnQuGe aims to uncover quantitative properties of geometric objects using techniques from functional analysis, harmonic analysis and probability. Specifically, it is dedicated to the following directions: How well

Taking action to improve the world around us is an intrinsic aspect of human endeavors in many sciences. One mathematical approach consists in viewing the world as a system governed by differential equations (ordinary, partial or stochastic) and understanding how to act on it to attain a desired sys

An in-depth knowledge of the microscopic fine ultrastructure of muscles is imperative for the accurate diagnosis of various diseases characterized by muscle dysfunction. At present, a biopsy is the only reliable clinical method that offers a conclusive diagnosis of the pathology. Duchenne dystrophy,

Quantum correlations play a major role in Quantum Information Theory (QIT) foundations and quantum technologies applications. While quantum networks are crucial for the future of quantum information processing, the capabilities of quantum correlations achievable within these networks remain largely

One of the major questions of galaxy evolution is: why are galaxies so inefficient at forming stars? Indeed, we need to find a process opposing gravity, slowing down the conversion of gas to stars by a factor 100 compared to the free-fall time of the gas to understand how star formation is regulated

This research proposal aims to address a critical knowledge gap in understanding phenotypic transitions, which are fundamental processes in cell biology and have significant implications in cancer. Phenotypic transitions encompass various mechanisms that modify cellular phenotypes over time, includi

It has been estimated that 80% of all interactions formed between molecules of our cells are mediated by so-called short linear interaction motifs. Motifs are found within disordered regions of proteins and they mediate weak and transient interactions with their recognition domains. These properties

Autonomous vehicles, space robots, energy networks, etc., Autonomous Systems (AS) are pervading our society. As AS step up to tackle ever-more complex tasks in unpredictably dynamic situations, they must ensure efficient and reliable operation across a large range of uncertainties. They include haza

The paleontological records provide insights to understand how the earth system and biota have responded to past climatic changes. In the Miocene, the climate was warmer and the CO2 concentration was higher than in pre-industrial times, and it has been suggested as an analogue for future climate sce

Long gamma-ray bursts (LGRBs) are the most violent explosions in the Universe after the Big Bang, occurring during the collapse of a massive star that leaves behind a newly formed compact object and launches powerful relativistic jets. At more than 55 years from their discovery, the mechanism respon

I propose to investigate the Hodge locus of variation of Hodge structures (VHS) and explore its incarnations in various areas of Mathematics. The Hodge locus is a central object in Algebraic and Arithmetic Geometry introduced in the previous century and recently connected with the Zilber–Pink philos