@article{20730, abstract = {Radio-frequency measurements could satisfy DiVincenzo’s readout criterion in future large-scale solid-state quantum processors, as they allow for high bandwidths and frequency multiplexing. However, the scalability potential of this readout technique can only be leveraged if quantum device tuning is performed using exclusively radio-frequency measurements, that is, without resorting to current measurements. We demonstrate an algorithm that performs automatic coarse tuning of double quantum dots with only radio-frequency measurements by exploiting their bandwidth and impedance matching. The tuning was completed within a few minutes with minimal prior knowledge about the device. Our results show that it is possible to eliminate the need for transport measurements for quantum-dot tuning, paving the way for more scalable device architectures.}, author = {Van Straaten, Barnaby and Fedele, Federico and Vigneau, Florian and Hickie, Joseph and Jirovec, Daniel and Ballabio, Andrea and Chrastina, Daniel and Isella, Giovanni and Katsaros, Georgios and Ares, Natalia}, issn = {2331-7019}, journal = {Physical Review Applied}, number = {5}, publisher = {American Physical Society}, title = {{All-rf-based coarse-tuning algorithm for quantum devices using machine learning}}, doi = {10.1103/v11m-dbhm}, volume = {24}, year = {2025}, } @article{20731, abstract = {The adult human brain, under resting conditions, consumes approximately 20% of total body glucose, a demand that is even higher during the first decade of life. The brain metabolic landscape is intricately regulated throughout development, and each cell type exhibits distinct metabolic signatures at each specific stage. This picture becomes even more intricate when considering that metabolism is dynamically modulated to sustain critical biological processes, such as cell proliferation and differentiation and synaptic activity–dependent processes. The orchestration between metabolic regulation and the aforementioned physiological processes often relies on metabolism-dependent changes in the epigenetic landscape, which shape gene expression patterns to trigger selected downstream biological responses. Perturbations of brain metabolic pathways are frequently the cause of severe neurodevelopmental disorders. This review explores the latest insights into the regulation of brain metabolism in health and disease.}, author = {Marano, Domenico and Mariano, Vittoria and Novarino, Gaia}, issn = {1545-2948}, journal = {Annual Review of Genetics}, pages = {415--434}, publisher = {Annual Reviews}, title = {{Fueling the mind: Brain metabolism in health and neurodevelopmental disorders}}, doi = {10.1146/annurev-genet-111523-102424}, volume = {59}, year = {2025}, } @article{20732, abstract = {We investigate the real-time dynamics of a quenched quantum impurity immersed in a one-dimensional ultracold Fermi gas, focusing on the breakdown of the adiabatic Born-Oppenheimer approximation due to nonadiabatic effects. Despite a sizable impurity-bath mass imbalance, increasing interactions induce strong nonadiabatic couplings, disrupting adiabatic motion and enabling population transfer between the adiabatic potential energy curves. These transitions are governed by conical intersections arising from the pseudo Jahn-Teller effect, dynamically shaping the impurity's motion through the bath. Using ab initio simulations via the multilayer multiconfiguration time-dependent Hartree method and a multichannel Born-Oppenheimer framework, we track the impurity's evolution and directly prove the dynamical manifestation of the pseudo Jahn-Teller effect. We analyze two key scenarios: (i) a small initial shift, where a single avoided crossing drives transitions, and (ii) a large shift, where multiple avoided crossings lead to enhanced nonadiabaticity, self-trapping, and energy redistribution. Our findings establish ultracold fermionic few-body systems as tunable platforms for studying nonadiabatic quantum dynamics, opening new avenues for controlled impurity transport in strongly correlated environments.}, author = {Becker, A. and Koutentakis, Georgios and Schmelcher, P.}, issn = {2643-1564}, journal = {Physical Review Research}, number = {3}, publisher = {American Physical Society}, title = {{Dynamical probe of the pseudo Jahn-Teller effect in one-dimensional confined fermions}}, doi = {10.1103/2fr6-b59y}, volume = {7}, year = {2025}, } @article{20733, abstract = {The conversion of thermal energy into work is usually more efficient in the slow-driving regime, where the power output is vanishingly small. Efficient work extraction for fast-driving protocols remains an outstanding challenge at the nanoscale, where fluctuations play a significant role. In this Letter, we use a quantum-dot Szilard engine to extract work from thermal fluctuations with maximum efficiency over two decades of driving speed. We design and implement a family of optimized protocols ranging from the slow- to the fast-driving regime, and we measure the engine's efficiency as well as the mean and variance of its power output in each case. These optimized protocols exhibit significant improvements in power and efficiency compared to the naive approach. Our results also show that, when optimizing for efficiency, boosting the power output of a Szilard engine inevitably comes at the cost of increased power fluctuations.}, author = {Aggarwal, Kushagra and Rolandi, Alberto and Yang, Yikai and Hickie, Joseph and Jirovec, Daniel and Ballabio, Andrea and Chrastina, Daniel and Isella, Giovanni and Mitchison, Mark T. and Perarnau-Llobet, Martí and Ares, Natalia}, issn = {2643-1564}, journal = {Physical Review Research}, number = {3}, publisher = {American Physical Society}, title = {{Rapid optimal work extraction from a quantum-dot information engine}}, doi = {10.1103/q3dx-kyqj}, volume = {7}, year = {2025}, } @article{20734, abstract = {We consider the problem of parameter estimation in a high-dimensional generalized linear model. Spectral methods obtained via the principal eigenvector of a suitable data-dependent matrix provide a simple yet surprisingly effective solution. However, despite their wide use, a rigorous performance characterization, as well as a principled way to preprocess the data, are available only for unstructured (i.i.d. Gaussian and Haar orthogonal) designs. In contrast, real-world data matrices are highly structured and exhibit non-trivial correlations. To address the problem, we consider correlated Gaussian designs capturing the anisotropic nature of the features via a covariance matrix Σ. Our main result is a precise asymptotic characterization of the performance of spectral estimators. This allows us to identify the optimal preprocessing that minimizes the number of samples needed for parameter estimation. Surprisingly, such preprocessing is universal across a broad set of designs, which partly addresses a conjecture on optimal spectral estimators for rotationally invariant models. Our principled approach vastly improves upon previous heuristic methods, including for designs common in computational imaging and genetics. The proposed methodology, based on approximate message passing, is broadly applicable and opens the way to the precise characterization of spiked matrices and of the corresponding spectral methods in a variety of settings.}, author = {Zhang, Yihan and Ji, Hong Chang and Venkataramanan, Ramji and Mondelli, Marco}, issn = {2520-2324}, journal = {Mathematical Statistics and Learning}, number = {3-4}, pages = {193--304}, publisher = {EMS Press}, title = {{Spectral estimators for structured generalized linear models via approximate message passing}}, doi = {10.4171/MSL/52}, volume = {8}, year = {2025}, } @phdthesis{20737, author = {Casado Polanco, Raquel}, isbn = {978-3-99078-072-5}, issn = {2663-337X}, keywords = {NOTCH, radial glial progenitor, lineage progression, cortical development}, pages = {133}, publisher = {Institute of Science and Technology Austria}, title = {{Role of NOTCH signaling in radial glial progenitor lineage progression}}, doi = {10.15479/AT-ISTA-20737}, year = {2025}, } @misc{20749, abstract = {Datasets and code for publication "Electrostatics overcome acoustic collapse to assemble, adapt, and activate levitated matter"}, author = {Shi, Sue}, publisher = {Zenodo}, title = {{Datasets and code for manuscript "Electrostatics overcome acoustic collapse to assemble, adapt, and activate levitated matter"}}, doi = {10.5281/ZENODO.15752991}, year = {2025}, } @misc{20750, author = {Van Straaten, Barnaby and Fedele, Federico and Vigneau, Florian and Hickie, Joseph and Jirovec, Daniel and Chrastina, Daniel and Isella, Giovanni and Ares, Natalia}, publisher = {Zenodo}, title = {{All rf-based tuning algorithm for quantum devices using machine learning}}, doi = {10.5281/ZENODO.17352653}, year = {2025}, } @misc{20780, abstract = {Sex-chromosome systems are highly variable across animals, but how they transition from one to another is not well understood. Diptera have undergone multiple sex-chromosome turnovers and expansions while maintaining their general chromosomal content, which makes them an ideal clade to study such transitions. We analysed more than 100 dipteran whole-genome assemblies and identified 4 new lineages that underwent sex-chromosome turnover (in addition to the 5 previously reported). We find the majority of turnovers happened in the group Schizophora, which tend to have fewer genes on the F element (the chromosome homologous to the ancestral insect X chromosome) than lower dipterans, a factor previously hypothesized to facilitate turnover. Most derived X chromosomes have higher GC content than autosomes, consistent with a high prevalence of male-achiasmy in Diptera. In addition, an excess of gene movement out of the X is detected for most of these new X chromosomes, and many of these moved genes have high testis expression in Drosophila, suggesting that out-of-X gene movement contributes to the long-term demasculinization of X chromosomes.}, author = {Layana Franco, Lorena Alexandra and Toups, Melissa A and Vicoso, Beatriz}, keywords = {Schizophora, sex chromosomes, sex-chromosome turnover, Diptera, genomic features, out-of-X movement.}, publisher = {Institute of Science and Technology Austria}, title = {{Causes and consequences of sex-chromosome turnovers in Diptera}}, doi = {10.15479/AT-ISTA-20780}, year = {2025}, } @article{20795, abstract = {The tropical climate variability is characterized by various oscillations across a range of timescales. Oscillations that imprint the tropical mean state are generally attributed to slow processes, such as the seasonal cycle or interannual variability. Here, we identify a pronounced tropics-wide intraseasonal oscillation (TWISO) in satellite observations and reanalyses. This oscillation, with a period of 30 to 60 d, is evident across multiple variables and involves interactions between convection, radiation, surface fluxes, and large-scale circulation. It is primarily manifested as convective perturbations in the tropical Indo-Pacific warm pool accompanied by oscillations in the large-scale tropical overturning circulation. Here, we examine the relationship between TWISO, the Madden–Julian Oscillation (MJO), and the instability of radiative-convective equilibrium. Certain phases of TWISO coincide with specific phases of the MJO, suggesting a potential connection between the two. However, although the MJO can amplify the oscillation amplitude of TWISO, it is not essential for TWISO to occur. Finally, due to its broad manifestation across the tropics, TWISO potentially exerts widespread influence on tropical weather and climate at regional scales.}, author = {Bao, Jiawei and Bony, Sandrine and Takasuka, Daisuke and Muller, Caroline J}, issn = {1091-6490}, journal = {Proceedings of the National Academy of Sciences}, number = {48}, publisher = {National Academy of Sciences}, title = {{Tropics-wide intraseasonal oscillations}}, doi = {10.1073/pnas.2511549122}, volume = {122}, year = {2025}, } @article{20796, abstract = {Rapid prophase chromosome movements ensure faithful alignment of the parental homologous chromosomes and successful synapsis formation during meiosis. These movements are driven by cytoplasmic forces transmitted to the nuclear periphery, where chromosome ends are attached through transmembrane proteins. During many developmental stages a specific genome architecture with chromatin nuclear periphery contacts mediates specific gene expression. Whether chromatin is removed from the nuclear periphery as a consequence of chromosome motions or by a specific mechanism is not fully understood. Here, we identify a mechanism to remove chromatin from the nuclear periphery through vaccinia related kinase (VRK-1)–dependent phosphorylation of Barrier to Autointegration Factor 1 (BAF-1) in Caenorhabditis elegans early prophase of meiosis. Interfering with chromatin removal delays chromosome pairing, impairs synapsis, produces oocytes with abnormal chromosomes and elevated apoptosis. Long read sequencing reveals deletions and duplications in offspring lacking VRK-1 underscoring the importance of the BAF-1–VRK-1 module in preserving genome stability in gametes during rapid chromosome movements.}, author = {Paouneskou, Dimitra and Baudrimont, Antoine and Kelemen, Réka K and Elkrewi, Marwan N and Graf, Angela and Moukbel Ali Aldawla, Shehab and Kölbl, Claudia and Tiemann-Boege, Irene and Vicoso, Beatriz and Jantsch, Verena}, issn = {2041-1723}, journal = {Nature Communications}, publisher = {Springer Nature}, title = {{BAF-1–VRK-1 mediated release of meiotic chromosomes from the nuclear periphery is important for genome integrity}}, doi = {10.1038/s41467-025-65420-9}, volume = {16}, year = {2025}, } @article{20816, abstract = {Background: DNA methylation (DNAm) can regulate gene expression, and its genome-wide patterns (epigenetic scores or EpiScores) can act as biomarkers for complex traits. The relative stability of methylation profiles may enable better assessment of chronic exposures compared to single time-point protein measures. We present the first large-scale epigenetic study of the highly-abundant serum proteome measured via ultra-high throughput mass spectrometry in 14,671 samples from the Generation Scotland cohort. We further demonstrate the first large-scale comparison of protein EpiScores and their respective proteins as predictors of incident cardiovascular disease. Results: Marginal epigenome-wide association models, adjusting for age, sex, measurement batch, estimated white cell proportions, BMI, smoking and methylation principal components, reveal 15,855 significant CpG – protein associations across 125 of 133 proteins PBonferroni < 2.71 × 10-10. Bayesian epigenome-wide association studies of the same 133 proteins reveal 697 CpG-Protein associations (posterior inclusion probability > 0.95). 112 protein EpiScores correlate significantly with their respective protein in a holdout test-set. Of these, sixteen associate significantly with incident all-cause cardiovascular disease (Nevents=191) compared to one measured protein. Conclusions: We highlight a complex interplay between the blood-based methylome and proteome. Importantly, we show that protein EpiScores correlate with measured proteins and demonstrate that the, as-yet understudied, high-abundance proteome may yield clinically relevant biomarkers. The protein EpiScores demonstrate more significant associations with cardiovascular disease than directly measured proteins, suggesting their potential as clinical biomarkers for monitoring or predicting disease risk. We suggest that biomarker development could be enhanced by the consideration of protein EpiScores alongside measured proteins.}, author = {Robertson, Josephine A. and Bajzik, Jakub and Vernardis, Spyros and Chybowska, Aleksandra D. and Mccartney, Daniel L. and Grauslys, Arturas and Mur, Jure and Smith, Hannah M. and Campbell, Archie and Drake, Camilla and Grant, Hannah and Pearce, Jamie and Russ, Tom C. and Adkin, Poppy and White, Matthew and Brigden, Charles and Messner, Christoph B. and Porteous, David J. and Hayward, Caroline and Cox, Simon R. and Zelezniak, Aleksej and Ralser, Markus and Robinson, Matthew Richard and Marioni, Riccardo E.}, issn = {1474-760X}, journal = {Genome Biology}, publisher = {Springer Nature}, title = {{Methylome-wide association studies and epigenetic biomarker development for 133 mass spectrometry-assessed circulating proteins in 14,671 Generation Scotland participants}}, doi = {10.1186/s13059-025-03892-0}, volume = {26}, year = {2025}, } @article{8125, abstract = {Biological memory is known to be flexible—memory formation and recall depend on factors such as the behavioral context of the organism. However, this property is often ignored in associative memory models, leaving it unclear how memories can be organized and recalled when subject to contextual control. Because of the lack of a rigorous analytical framework, it is also unknown how contextual control affects memory stability, storage capacity, and information content. Here, we bring the dynamic nature of memory to the fore by introducing a novel model of associative memory, which we refer to as the context-modular memory network. In our model, stored memory patterns are associated to one of several background network states, or contexts. Memories are accessible when their corresponding context is active, and are otherwise inaccessible. Context modulates the effective network connectivity by imposing a specific configuration of neuronal and synaptic gating—gated neurons (synapses) have their activity (weights) momentarily silenced, thereby reducing interference from memories belonging to other contexts. Memory patterns are randomly and independently chosen, while neuronal and synaptic gates may be selected randomly or optimized through a process of contextual synaptic refinement. Through analytic and numerical results, we show that context-modular memory networks can exhibit both improved memory capacity and differential control of memory stability with random gating (especially for neuronal gating). For contextual synaptic refinement, we devise a method in which synapses are gated off for a given context if they destabilize the memory patterns in that context, drastically improving memory capacity and enabling even more precise control over memory stability. Notably, synaptic refinement allows for patterns to be accessible in multiple contexts, stabilizing memory patterns even for weight matrices that alone do not contain any information about the memory patterns, such as Gaussian random matrices. Overall, our model integrates recent ideas about context-dependent memory organization with classic associative memory models and proposes a rigorous theory which can act as a framework for future work. Furthermore, our work carries important implications for the understanding of biological memory storage and recall in the brain, such as highlighting an intriguing trade-off between memory capacity and accessibility.}, author = {Podlaski, William F. and Agnes, Everton J. and Vogels, Tim P}, issn = {2160-3308}, journal = {Physical Review X}, publisher = {American Physical Society}, title = {{High capacity and dynamic accessibility in associative memory networks with context-dependent neuronal and synaptic gating}}, doi = {10.1103/PhysRevX.15.011057}, volume = {15}, year = {2025}, } @article{8616, abstract = {The brain vasculature supplies neurons with glucose and oxygen, but little is known about how vascular plasticity contributes to brain function. Using longitudinal in vivo imaging, we report that a substantial proportion of blood vessels in the adult mouse brain sporadically occlude and regress. Their regression proceeds through sequential stages of blood-flow occlusion, endothelial cell collapse, relocation or loss of pericytes, and retraction of glial endfeet. Regressing vessels are found to be widespread in mouse, monkey and human brains. We further reveal that blood vessel regression cause a reduction of neuronal activity due to a dysfunction in mitochondrial metabolism and glutamate production. Our results elucidate the mechanism of vessel regression and its role in neuronal function in the adult brain.}, author = {Gao, Xiaofei and Li, Jun-Liszt and Chen, Xingjun and Ci, Bo and Chen, Fei and Lu, Nannan and Shen, Bo and Zheng, Lijun and Jia, Jie-Min and Yi, Yating and Zhang, Shiwen and Shi, Ying-Chao and Shi, Kaibin and Propson, Nicholas E and Huang, Yubin and Poinsatte, Katherine and Zhang, Zhaohuan and Yue, Yuanlei and Bosco, Dale B and Lu, Ying-mei and Yang, Shi-bing and Adams, Ralf H. and Lindner, Volkhard and Huang, Fen and Wu, Long-Jun and Zheng, Hui and Han, Feng and Hippenmeyer, Simon and Stowe, Ann M. and Peng, Bo and Margeta, Marta and Wang, Xiaoqun and Liu, Qiang and Körbelin, Jakob and Trepel, Martin and Lu, Hui and Zhou, Bo O. and Zhao, Hu and Su, Wenzhi and Bachoo, Robert M. and Ge, Woo-ping}, issn = {2041-1723}, journal = {Nature Communications}, publisher = {Springer Nature}, title = {{Reduction of neuronal activity mediated by blood-vessel regression in the brain}}, doi = {10.1038/s41467-025-60308-0}, volume = {16}, year = {2025}, } @article{18154, abstract = {In 1976, Deligne and Lusztig realized the representation theory of finite groups of Lie type inside étale cohomology of certain algebraic varieties. Recently, a p-adic version of this theory started to emerge: there are p-adic Deligne–Lusztig spaces, whose cohomology encodes representation theoretic information for p-adic groups – for instance, it partially realizes the local Langlands correspondence with characteristic zero coefficients. However, the parallel case of coefficients of positive characteristic ℓ≠p has not been inspected so far. The purpose of this article is to initiate such an inspection. In particular, we relate cohomology of certain p-adic Deligne–Lusztig spaces to Vignéras's modular local Langlands correspondence for GLn.}, author = {Löwit, Jakub}, issn = {1090-266X}, journal = {Journal of Algebra}, number = {2}, pages = {81--118}, publisher = {Elsevier}, title = {{On modulo ℓ cohomology of p-adic Deligne–Lusztig varieties for GLn}}, doi = {10.1016/j.jalgebra.2024.08.033}, volume = {663}, year = {2025}, } @article{18169, abstract = {As the complexity and criticality of software increase every year, so does the importance of runtime monitoring. Third-party and best-effort monitoring are especially valuable, yet under-explored areas of runtime monitoring. In this context, third-party monitoring means monitoring with a limited knowledge of the monitored software (as it has been developed by a third party). Best-effort monitoring keeps pace with the monitored software at the cost of possibly imprecise verdicts when keeping up with the monitored software would not be feasible. Most existing monitoring frameworks do not support the combination of third-party and best-effort monitoring because they either require the full access to the monitored code or the ability to process all observable events, or both. We present a middleware framework, Vamos, for the runtime monitoring of software. Vamos is explicitly designed to support third-party and best-effort scenarios. The design goals of Vamos are (i) efficiency (tracing events with low overhead), (ii) flexibility (the ability to monitor a variety of different event channels, and to connect to a wide range of monitors), and (iii) ease-of-use. To achieve its goals, Vamos combines aspects of event broker and event recognition systems with aspects of stream processing systems. We implemented a prototype toolchain for Vamos and conducted a set of experiments demonstrating the usability of the scheme. The results indicate that Vamos enables writing useful yet efficient monitors, and simplifies key aspects of setting up a monitoring system from scratch.}, author = {Chalupa, Marek and Mühlböck, Fabian and Muroya Lei, Stefanie and Henzinger, Thomas A}, issn = {0167-6423}, journal = {Science of Computer Programming}, number = {2}, publisher = {Elsevier}, title = {{VAMOS: Middleware for best-effort third-party monitoring}}, doi = {10.1016/j.scico.2024.103212}, volume = {240}, year = {2025}, } @article{18170, abstract = {This study presents a graphene field-effect transistor (gFET) biosensor with dual detection capabilities for SARS-CoV-2: one RNA detection assay to confirm viral positivity and the other for nucleocapsid (N-)protein detection as a proxy for infectiousness of the patient. This technology can be rapidly adapted to emerging infectious diseases, making an essential tool to contain future pandemics. To detect viral RNA, the highly conserved E-gene of the virus was targeted, allowing for the determination of SARS-CoV-2 presence or absence using nasopharyngeal swab samples. For N-protein detection, specific antibodies were used. Tested on 213 clinical nasopharyngeal samples, the gFET biosensor showed good correlation with RT-PCR cycle threshold values, proving its high sensitivity in detecting SARS-CoV-2 RNA. Specificity was confirmed using 21 pre-pandemic samples positive for other respiratory viruses. The gFET biosensor had a limit of detection (LOD) for N-protein of 0.9 pM, establishing a foundation for the development of a sensitive tool for monitoring active viral infection. Results of gFET based N-protein detection corresponded to the results of virus culture in all 16 available clinical samples and thus it also proved its capability to serve as a proxy for infectivity. Overall, these findings support the potential of the gFET biosensor as a point-of-care device for rapid diagnosis of SARS-CoV-2 infection and indirect assessment of infectiousness in patients, providing additional information for clinical and public health decision-making.}, author = {Herdina, Anna Nele and Bozdogan, Anil and Aspermair, Patrik and Dostalek, Jakub and Klausberger, Miriam and Lingg, Nico and Cserjan-Puschmann, Monika and Aguilar, Patricia Pereira and Auer, Simone and Demirtas, Halil and Andersson, Jakob and Lötsch, Felix and Holzer, Barbara and Steinrigl, Adi and Thalhammer, Florian and Schellnegger, Julia and Breuer, Monika and Knoll, Wolfgang and Strassl, Robert}, issn = {1873-4235}, journal = {Biosensors and Bioelectronics}, publisher = {Elsevier}, title = {{Bridging basic science and applied diagnostics: Comprehensive viral diagnostics enabled by graphene-based electronic biosensor technology advancements}}, doi = {10.1016/j.bios.2024.116807}, volume = {267}, year = {2025}, } @inproceedings{22120, author = {Muñoz Hermosilla, José M and Miles, Evan and McCarthy, Michael and Hardmeier, Florian and Melo Velasco, Juan Vicente and Jouvet, Guillaume and Pellicciotti, Francesca}, booktitle = {EGU General Assembly 2025}, location = {Vienna, Austria & Virtual}, publisher = {European Geosciences Union}, title = {{Towards reconstructing debris supply to reproduce the historic changes in debris extent at a Swiss glacier}}, doi = {10.5194/egusphere-egu25-17446}, year = {2025}, } @article{21263, abstract = {Two landmark results in combinatorial random matrix theory, due to Komlós and Costello–Tao–Vu, show that discrete random matrices and symmetric discrete random matrices are typically nonsingular. In particular, in the language of graph theory, when p is a fixed constant, the biadjacency matrix of a random Erdős–Rényi bipartite graph G(n,n,p) and the adjacency matrix of an Erdős–Rényi random graph G(n,p) are both nonsingular with high probability. However, very sparse random graphs (i.e., where p is allowed to decay rapidly with n) are typically singular, due to the presence of “local” dependencies such as isolated vertices and pairs of degree-1 vertices with the same neighbour. In this paper, we give a combinatorial description of the rank of a sparse random graph G(n,n,c/n) or G(n,c/n) in terms of such local dependencies, for all constants c=e (and we present some evidence that the situation is very different for c=e). This gives an essentially complete answer to a question raised by Vu (2014). As applications of our main theorem and its proof, we also determine the asymptotic singularity probability of the 2-core of a sparse random graph, we show that the rank of a sparse random graph is extremely well approximated by its matching number, and we deduce a central limit theorem for the rank of G(n,c/n).}, author = {Glasgow, Margalit and Kwan, Matthew Alan and Sah, Ashwin and Sawhney, Mehtaab}, issn = {1435-9863}, journal = {Journal of the European Mathematical Society}, publisher = {EMS Press}, title = {{The exact rank of sparse random graphs}}, doi = {10.4171/jems/1692}, year = {2025}, } @phdthesis{20441, abstract = {Epithelial spreading plays a pivotal role in the development of organisms especially those such as zebrafish which require the epithelial enveloping layer (EVL) to spread to cover the substantial yolk surface during gastrulation. Epiboly requires the transition of the epithelium with cuboidal cells to form a thin, flat squamous epithelial sheet. During this transition, the cells show tissue-scale mechanosensation with mechanisms such as direct mechanical control over the axis of cell division. Cytoskeletal intermediate filaments play a crucial role in vertebrate cells, not only facilitating mechanical stability but also helping facilitate the mechanosensitive response of the cell. Mechanosenstivity displayed by intermediate filaments is due not just to their interesting physical properties but also to their interactions with other cytoskeletal elements such as actin and microtubules. Keratin is the predominant intermediate filament expressed in the EVL. It expresses concomitantly with the gastrulation movements of the developing embryo. Our work focuses on understanding the role and dynamics of the keratin cytoskeletal network in modulating the physical aspects of EVL spreading. We demonstrated with the combination of physical characterisation and manipulations of the EVL, utilising a variety of biophysical tools and microscopy, the mechanistic role of keratin in tissue spreading. Generating novel genetic morphants and mutants, we probe the effect that the loss of the keratin network has on the physiology of the epithelium and the developing embryo. We show that the changing organisation of the keratin network is important for changing EVL physical properties as the stress imposed on the EVL increases during epiboly. By modelling the epithelium, we study how the mechanical heterogeneity in an epithelium can feed back into a mechanical loop to the maturation of the keratin network and hence affect the mechanics of the epithelium. However, unlike what would be predicted by the effect of intermediate filaments in acting as a security belt and increasing the resistance of the epithelium, we observe that loss of keratin leads to a delay in the EVL movement. Using both local aspirations of the YSL and EVL ablations, we demonstrate the mechanistic facilitation of actin mechanosensation in a keratin-dependent manner. Furthermore, using chemical inhibitors of microtubule polymerisation, we provide insight into the mechanisms underlying the organisation and distribution of keratin. Interestingly, the phenotype observed upon this loss of microtubules shows that keratins interact with the nucleus through microtubular interactions. Together with these diverse observations, we describe the mechanosensory feedback between resilience and that is critical for uniform and robust spreading of the epithelium.}, author = {Naik, Suyash}, isbn = {978-3-99078-069-5}, issn = {2663-337X}, pages = {105}, publisher = {Institute of Science and Technology Austria}, title = {{Keratins act as global coordinators of tissue spreading through mechanosensitive feedback}}, doi = {10.15479/AT-ISTA-20441}, year = {2025}, }