Many-body physics of cavity embedded quantum matter

Controlling the properties of quantum matter is a central goal of condensed matter physics. In recent years, cavity embedding—that is, shaping the electromagnetic environment surrounding a material by placing it inside a cavity—has emerged as a new potential tuning knob. While such concepts were first successfully explored with ultracold atomic clouds, more recent experiments have demonstrated their feasibility in solid-state systems. Despite the differences between these platforms, they shar...

Pro-inflammatory small extracellular vesicles: neuroinflammation propagation and target spinal cord cells in explant cultures

Within the vast landscape of intercellular messengers, extracellular vesicles, namely membrane-enclosed nanosized-particles released by virtually all cells, are increasingly tied to central nervous system transcellular communication, yet their roles in propagating neuro-inflammation, in kindling astrocytic reactivity and neuronal dysfunctions, as well as the relationship among vesicle source cells and the recipient ones, remain largely unclear. To dissect extracellular vesicles’ dynamics and ...

PrPC Absence Dysregulates The Synaptic Machinery: Electrophysiological and Molecular Profile of Prion Protein-Deficient Cortical Neurons

The Analogue of the Shapiro - Tater Conjecture for the Painlevé IV Equation

In this thesis we study an intrinsic connection relating the fourth Painlevé equation and the even sextic anharmonic oscillator with a pole. We compare 1. zeros of generalized Hermite polynomials and Okamoto polynomials, coming as building blocks for rational solutions of the Painlevé equation, 2. zeros of certain resultants, coming as the condition of degeneration of algebraic spectrum of the sextic oscillator. Similar comparison for Painlevé II and the quartic oscillator is know as Sha...

Large-Scale Response Theory for Gapless Lattice Fermi Systems in Low Dimensions

This thesis develops a rigorous large-scale response theory for gapless lattice Fermi systems in low dimensions, focusing on the mathematical validity of linear response -- the Kubo formula -- for transport in gapless systems, where the absence of a spectral gap prevents the direct use of standard adiabatic theorems. After reviewing fundamental results on many-body lattice fermions, we first analyse the transport properties of non-interacting, gapless, one-dimensional quantum systems and o...

A distance‐based framework for causal discovery from high‐dimensional time series

Unveiling causal relationships between time-dependent variables, observed as time series, is a challenge with countless applications across diverse scientific fields. This task lies at the heart of a research area known as causal discovery. In this thesis, we introduce a framework for causal discovery which is based on the quantification of the information content of different distance measures, built with suitable subsets of the observed variables. Focusing on distances, rather than di...

Sensory Neuron Rewiring in Pancreatic Ductal Adenocarcinoma: from Single-Cell RNA Profiling to Extracellular Vesicles-based strategies

Background & Aims: Neuronal innervation of the pancreas has historically been characterized using marker-based classification and physiological studies, but its transcriptomic landscape remains only partially explored. A detailed molecular profile of pancreatic sensory neurons could provide insights into their role in health and disease, particularly in pancreatic ductal adenocarcinoma (PDAC), where neural remodeling influences tumor progression and pain signaling. Methods: Wild-type an...

Winds of Change: The Decisive Role of Mass Loss in the Evolution of Very Massive Stars

Massive and very massive stars are among the most influential objects in our Universe, being key agents in chemical enrichment, sources of ionizing photons, and representing progenitors of extreme explosions and exotic compact objects. Despite significant progress in our understanding of stellar structure and evolution over the past century, there remain open questions regarding the physical processes of very massive stars (above ∼ 100 M⊙) formation and evolution. The evolution of the most ma...

QUBO-Based Sampling of Lattice Polymers with Classical and Quantum Computers