@article{22370,
  abstract     = {We report a unified method for the synthesis of α-polyhalomethyl amines from alkenes and alkynes, enabled by readily available hemiaminal reagents. This operationally simple transformation allows for the introduction of not only well-established CF3 and CF2H groups, but also the synthetically (and medicinally) underexplored CF2Cl and CFClH motifs—thereby broadening access to previously inaccessible chemical space of halogenated amine scaffolds. The method displays broad substrate scope and functional-group tolerance while operating under mild conditions. Late-stage functionalization of drug-like derivatives of Oxaprozin, Erlotinib, and Ibuprofen (among others) is reported.},
  author       = {Hofmeister, Angela K. and Iannelli, Giulia and Angyal, Péter and Malandain, Augustin and Kaiser, Daniel and Maryasin, Boris and Kählig, Hanspeter and Barel, Matteo and Novarino, Gaia and Maulide, Nuno},
  issn         = {1521-3773},
  journal      = {Angewandte Chemie International Edition},
  publisher    = {Wiley},
  title        = {{Unified synthesis of unconventional α-polyhalogenated amines through hydroaminoalkylation}},
  doi          = {10.1002/anie.1233707},
  year         = {2026},
}

@article{22323,
  abstract     = {Arrays of Josephson junctions can be tuned through anomalous metallic, quantum-critical, and insulating regimes. We introduce an alternative experimental probe, capturing microwave radiation across all three regimes, using a two-dimensional array of superconductor-semiconductor hybrid Josephson junctions as a model system. Our approach allows  calibration of the sample’s circuit parameters and provides isolation from measurement back-action effects. We measure the radiation temperature of the anomalous metal and find that it is hotter than both the quantum-critical and insulating regimes. We further show that the anomalous metallic regime is more susceptible to additional heating than other regimes, explaining its emergence in otherwise thermalized systems. Turning to the quantum-critical regime, we discover nonlinear scaling of radiative noise with applied bias, consistent with theoretical predictions of universal nonequilibrium behavior at quantum-critical points.},
  author       = {Galvin, Kristen W and Bubis, Anton and Mikalsen, Melissa and Schiela, William F. and Elfeky, Bassel H. and Strickland, William M. and Phan, Duc T and Shabani, Javad and Higginbotham, Andrew P},
  issn         = {2331-7019},
  journal      = {Physical Review Applied},
  publisher    = {American Physical Society},
  title        = {{Microwave radiometry of a quantum-critical hybrid Josephson array}},
  doi          = {10.1103/75bl-mm3b},
  volume       = {26},
  year         = {2026},
}

@inproceedings{22321,
  abstract     = {Runtime fairness is not a one-time constraint but a dynamic property evaluated over a sequence of decisions. To ensure fairness at runtime, it is necessary to account for past decisions, information neglected by conventional, static classifiers. Traditional fairness shields enforce runtime fairness abruptly, by intervening deterministically whenever a sequence of decisions violates the target for a running fairness measure. This motivates our main conceptual contribution: energy shields. An energy shield is a novel, lightweight, adaptive controller that monitors a sequence of decisions and intervenes probabilistically to ensure runtime fairness smoothly, by utilizing physics-inspired energy functions to nudge the sequence toward fairness: the more unfair the decisions, the stronger the nudging force becomes. This makes energy shields the first fairness shields to provide both short-term safety and long-term liveness guarantees. Safety ensures that the running fairness measure stays within a running target interval with high probability, and liveness ensures that the limit of the fairness measure lies within the limit target interval. Intuitively, the short-term specifies the tolerated fairness values and the long-term specifies the desired fairness values. We also provide a synthesis procedure for constructing the least intrusive energy shield for a given target specification, and demonstrate its efficiency experimentally. We evaluate our energy shields against existing fairness shields through the lens of short- and long-term fairness.},
  author       = {Cano Cordoba, Filip and Henzinger, Thomas A and Kueffner, Konstantin},
  booktitle    = {Proceedings of the 2026 ACM Conference on Fairness, Accountability, and Transparency},
  location     = {Montreal, Canada},
  pages        = {4243 -- 4275},
  publisher    = {Association for Computing Machinery},
  title        = {{Energy shields for fairness}},
  doi          = {10.1145/3805689.3806807},
  year         = {2026},
}

@article{21995,
  abstract     = {On 26–28 September 2024, torrential rainfall struck Nepal during the late monsoon season, causing flooding, landslides and extensive damage. This study examined the multiscale processes contributing to this extreme precipitation event, focusing on intraseasonal oscillations, synoptic-scale circulations, and mesoscale cloud/precipitation systems. A quasi-biweekly intraseasonal oscillation dominated over South Asia during the event, featuring a monsoon low-pressure system over the Indian Peninsula and an anticyclone to its east, both propagating westward. The pressure gradient between them sustained strong southerly moisture transport toward the Himalayas, establishing a persistently humid environment and orographic lift along the southern slopes. In contrast to reports of previous extreme precipitation events in Nepal, the atmospheric circulation responsible for the 2024 event was primarily of tropical origin, with minimal influence from the midlatitudes. Characteristic mesoscale cloud/precipitation systems also developed around the Himalayas. The highest daily precipitation during the event was recorded on 27 September; stratiform systems with relatively modest storm top heights developed over the southern slopes, generating surface precipitation rates of > 100 mm h− 1 through warm-rain processes. Rain gauges across the glacierized basin (3500–5000 m asl) recorded exceptionally high daily and hourly precipitation rates, highlighting the extension of intense rainfall to unusually high elevations.},
  author       = {Fujinami, Hatsuki and Takahashi, Nobuhiro and Kanamori, Hironari and Sato, Yota and Sunako, Sojiro and Kato, Masaya and Higuchi, Atsushi and Kadel, Indira and Shrestha, Dibas and Kayastha, Rijan B. and Fujita, Koji},
  issn         = {1349-6476},
  journal      = {Scientific Online Letters on the Atmosphere},
  publisher    = {Springer Nature},
  title        = {{Multiscale aspects of an extreme precipitation event over Nepal in September 2024}},
  doi          = {10.1007/s44393-026-00024-0},
  volume       = {22},
  year         = {2026},
}

@phdthesis{21021,
  abstract     = {This thesis examines how geometry and topology intersect in the representation, transformation, and analysis of complex shapes. It considers how continuous manifolds relate to their discrete analogues, how topological structures evolve in persistence vineyards, and how tools from topological data analysis can illuminate problems in mathematical physics. Central to this exploration is the question of how structure, both geometric and topological, persists or changes under approximation, sampling, or deformation. The work develops new approaches to skeletal and grid-based representations of surfaces, reveals the full expressive capacity of persistence vineyards, and applies topological methods to the longstanding problem of equilibria in electrostatic fields. These threads braid together into a broader understanding of how topology and geometry inform one another across theory, computation, and application.},
  author       = {Fillmore, Christopher D},
  issn         = {2663-337X},
  pages        = {122},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Braiding geometry and topology to study shapes and data}},
  doi          = {10.15479/AT-ISTA-21021},
  year         = {2026},
}

@article{21931,
  abstract     = {In 1873, James C. Maxwell conjectured that the electric field generated by n point charges in generic position has at most (n-1)^2 isolated zeroes. The first (nonoptimal) upper bound was only obtained in 2007 by Gabrielov, Novikov, and Shapiro, who also posed two additional interesting conjectures. In this article, we give the best upper bound known to date on the number of zeroes of the electric field, and construct a counterexample to Conjecture 1.8 by Gabrielov, Novikov, and Shapiro that the number of equilibria cannot exceed those of the distance function defined by the unit point charges. Finally, we note that it is quite possible that Maxwell's quadratic upper bound is not tight, so it is prudent to find lower bounds. Hence, we also explore examples and construct configurations of charges achieving the highest ratios of the number of electric field zeroes by point charges found to this day.},
  author       = {Edelsbrunner, Herbert and Fillmore, Christopher D and Oliveira, Goncalo},
  issn         = {1460-244X},
  journal      = {Proceedings of the London Mathematical Society},
  number       = {5},
  publisher    = {Wiley},
  title        = {{Counting equilibria of the electrostatic potential}},
  doi          = {10.1112/plms.70163},
  volume       = {132},
  year         = {2026},
}

@article{21489,
  abstract     = {We study Kirillov algebras attached to minuscule highest weight representations of semisimple Lie algebras. They can be viewed as equivariant cohomology algebras of partial flag varieties. Real structures on the varieties then induce involutions of these algebras. We describe how these involutions act on the spectra of minuscule Kirillov algebras, and model the fixed points via the equivariant cohomology of real partial flag varieties. We then use this model to characterise freeness of the fixed point coordinate ring over the appropriate base. As an application, we recover a q = -1 phenomenon of Stembridge in the minuscule case by geometric means.},
  author       = {Elkner, Mischa M},
  issn         = {1531-586X},
  journal      = {Transformation Groups},
  publisher    = {Springer Nature},
  title        = {{On involutions of minuscule Kirillov algebras induced by real structures}},
  doi          = {10.1007/s00031-026-09958-y},
  year         = {2026},
}

@inproceedings{21916,
  abstract     = {Social network graphs are central to graph learning research, serving as standard benchmarks for algorithm evaluation. However, existing datasets focus mainly on mainstream social media platforms whose structures are shaped notably by algorithmic recommendations. This raises an important question: would alternative, decentralized social networks exhibit different properties? We address this by studying the Fediverse; a collection of decentralized social networks (such as Mastodon and Lemmy). These platforms differ fundamentally from for-profit social media, notably in decentralization and absence of recommendation algorithms, which may yield distinct graph structures. We introduce Fedivertex, a dataset of over 400 graphs from seven decentralized networks, collected weekly over six months. The dataset, released with a companion Python package to facilitate its use, supports research on temporal and structural aspects of decentralized social networks. In particular, we benchmark applications to decentralized machine learning and community detection.},
  author       = {Damie, Marc and Cyffers, Edwige Audrey Lucienne},
  booktitle    = {2026 Proceedings of the ACM Web Conference},
  isbn         = {9798400723070},
  location     = {Dubai},
  pages        = {8393--8396},
  publisher    = {ACM},
  title        = {{Fedivertex: A graph dataset based on decentralized Social Media}},
  doi          = {10.1145/3774904.3792868},
  year         = {2026},
}

@inproceedings{22327,
  abstract     = {Population protocols are a model of distributed computing where
𝑛 agents, each a simple finite-state machine, interact in pairs to
solve a common task against a (adversarial) interaction scheduler.
This model was intensively studied in recent years; in particular,
the problem of relative majority received much attention: Each
agent starts with an input opinion (or color) out of 𝑘 possibilities,
and the goal is for each agent to eventually output the color with
the largest support in the population. Before our work, the state
complexity (the minimum number of states required per agent) was
only known to be between Ω(𝑘
2
) and𝑂(𝑘
7
). Our main contribution
is a population protocol that solves the relative majority problem
with 𝑘
3
states. We achieve this result with a new protocol called
Circles. While prior approaches in the literature relied on duels of
agents to find the majority color — an approach that proved effective
for the case with two colors — Circles partitions the agents into
circular linked lists of decreasing sizes, with the property that no
two agents with the same initial color lie in the same circle. We
show that Circles always correctly computes the desired structure
against the most adversarial of schedulers (weakly fair). We then
show that a trivial extension of Circles solves the relative majority
problem. We extend our protocol to handle various tie-breaking
mechanisms or to support the case where the agents do not share a
prior ordering of the colors. Finally, we show that a modification of
Circles solves the ranking problem with 2 · 𝑘^4
states, where each
agent must output the rank of its initial color in the population.},
  author       = {Breitkopf, Tom-Lukas and Dallot, Julien and El-Hayek, Antoine and Schmid, Stefan},
  booktitle    = {Proceedings of the ACM Symposium on Principles of Distributed Computing},
  isbn         = {9798400725128},
  location     = {Egham, United Kingdom},
  pages        = {414 -- 424},
  publisher    = {Association for Computing Machinery},
  title        = {{Ranking opinions with few states in population protocols}},
  doi          = {10.1145/3796701.3815913},
  year         = {2026},
}

@article{20851,
  abstract     = {High-voltage disordered spinel LiNi0.5Mn1.5O4 is a promising cathode material for high power density in lithium-ion batteries. However, it suffers from poor cycle life associated with the rock-salt phase transformation. This study presents a straightforward synthesis approach to enhance the electrochemical performance of LiNi0.5Mn1.5O4 through a synergistic solid-state modification with LiF and AlF3. This dual modification promotes rapid Li⁺ diffusion, enables near-complete delithiation/lithiation, approaching the theoretical capacity of disordered LiNi0.5Mn1.5O4, and, more importantly, effectively mitigates the formation of the rock-salt phase, thereby enhancing structural stability, as confirmed by operando X-ray absorption spectroscopy (XAS) and synchrotron X-ray diffraction (SXRD). As a result, the optimized LiNi0.5Mn1.5O4 (10 mg AlF3 + 30 mg LiF) delivers high reversible capacities of 142.1, 139.1, 129.2, 121.6, 110.3, 93.5, and 76.1 mAh∙g−1 at 0.2C, 0.5C, 1.0C, 2.0C, 3.0C, 4.0C, and 5.0C, respectively. Full cells using graphite as the anode and a high-loading cathode exhibit excellent cycling performance. They retain 80% of their capacity after 200 cycles at 0.5C within a voltage window of 3.5–4.9 V with cathode loading of 11 mg∙cm−2. The findings of this study will significantly advance high-power LiNi0.5Mn1.5O4 materials, offering improved battery life and thereby enhancing their potential for practical applications.},
  author       = {Chang, Xingqi and Escudero, Carlos and Black, Ashley P. and Horta, Sharona and Martínez, Elías and Lu, Xuan and Llorca, Jordi and Ibáñez, Maria and Biendicho, Jordi Jacas and Cabot, Andreu},
  issn         = {2198-3844},
  journal      = {Advanced Science},
  keywords     = {disordered spinel LiNi0.5Mn1.5O4 (LNMO), generation 3b batteries, operando SXRD, operando XAS, rock-salt, solid-state synthesis},
  number       = {11},
  publisher    = {Wiley},
  title        = {{Mitigating the rock-salt phase transformation in disordered LNMO through synergetic solid-state AlF3/LiF modifications}},
  doi          = {10.1002/advs.202515962},
  volume       = {13},
  year         = {2026},
}

@article{20859,
  abstract     = {Effective immune responses rely on the efficient migration of leukocytes. Yet, how temperature regulates migration dynamics at the single-cell level has remained poorly understood. Using zebrafish embryos and mouse tissue explants, we found that temperature positively regulates leukocyte migration speed, exploration, and arrival frequencies to wounds and lymph vessels. Complementary 2D and 3D cultures revealed that this thermokinetic control of cell migration is conserved across immune cell types, independently of the 3D tissue environment. By applying precise (sub-)cellular temperature modulation, we identified a rapid and reversible thermo-response that depends on myosin II activity. Small physiological increases in temperature (1°C –2°C), as present during fever-like conditions, profoundly increased immune responses by accelerating arrival times at lymphatic vessels and tissue wounds. These findings identify myosin-II-dependent actomyosin contractility as a critical mechanical structure regulating single-cell thermo-adaptability, with physiological implications for tuning the speed of immune responses in vivo.},
  author       = {Company-Garrido, Iván and Zurita Carpio, Alberto and Colomer-Rosell, Mariona and Ciraulo, Bernard and Molkenbur, Ronja and Lanzerstorfer, Peter and Pezzano, Fabio and Agazzi, Costanza and Hauschild, Robert and Jain, Saumey and Jacques, Jeroen M. and Venturini, Valeria and Knapp, Christian and Xie, Yufei and Merrin, Jack and Weghuber, Julian and Schaaf, Marcel and Quidant, Romain and Kiermaier, Eva and Ortega Arroyo, Jaime and Ruprecht, Verena and Wieser, Stefan},
  issn         = {1878-1551},
  journal      = {Developmental Cell},
  keywords     = {thermobiology, cell migration, thermo-adaptability of immune cells},
  number       = {2},
  pages        = {356--371.e12},
  publisher    = {Elsevier},
  title        = {{Myosin II regulates cellular thermo-adaptability and the efficiency of immune responses}},
  doi          = {10.1016/j.devcel.2025.10.006},
  volume       = {61},
  year         = {2026},
}

@article{20933,
  abstract     = {Photo-responsive systems based on azobenzenes usually require UV light for E→Z isomerization, limiting their applicability, especially in biomedical contexts. Disequilibration by sensitization of azobenzene under confinement (DESC) has recently emerged as a supramolecular strategy to bypass this limitation without the need to derivatize the azobenzene scaffold. Here, we expand DESC to water-soluble azopolymers obtained by RAFT polymerization and systematically investigate the interplay between the polymer structure and DESC efficiency. Using this approach, we achieved as much as 85% of the direct photoexcitation (UV) switching efficiency, while utilizing low-energy (yellow) light. These results establish general design principles for combining DESC with polymeric systems, opening new opportunities for the development of functional materials driven with low-energy light.},
  author       = {Meteling, Henning Jörn and Gemen, Julius and Häkkinen, Satu and Klajn, Rafal and Priimagi, Arri},
  issn         = {1521-3773},
  journal      = {Angewandte Chemie International Edition},
  number       = {7},
  publisher    = {Wiley},
  title        = {{Sensitized disequilibration of water-soluble azopolymers}},
  doi          = {10.1002/anie.202523447},
  volume       = {65},
  year         = {2026},
}

@article{20925,
  abstract     = {We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve intermediate equilibration times, an aspect that has not been proven rigorously in any model before. Our proof builds on recently established concentration estimates for products of resolvents of Wigner type random matrices (Erdős and Riabov in Commun Math Phys 405(12): 282, 2024) and an intricate analysis of the deterministic approximation.},
  author       = {Erdös, László and Henheik, Sven Joscha and Vogel, Cornelia},
  issn         = {1573-0530},
  journal      = {Letters in Mathematical Physics},
  publisher    = {Springer Nature},
  title        = {{Normal typicality and dynamical typicality for a random block-band matrix model}},
  doi          = {10.1007/s11005-025-02037-5},
  volume       = {116},
  year         = {2026},
}

@article{20924,
  abstract     = {Pioneer transcription factors (TFs) possess the ability to read out DNA motifs embedded within nucleosomes, driving changes in gene expression during cellular differentiation and reprogramming. Here, we present selected engagement on nucleosome sequencing (SeEN-seq), a protocol designed to systematically identify potential TF-binding sites on the nucleosome. We describe steps for nucleosome library assembly, SeEN-seq assay, and cryoelectron microscopy (cryo-EM) sample preparation. This protocol facilitates the preparation of homogeneous pioneer TF-nucleosome complexes for cryo-EM structure determination using single-particle analysis.
For complete details on the use and execution of this protocol, please refer to Michael et al.1},
  author       = {Kobayashi, Wataru and Michael, Alicia and Ruangroengkulrith, Siwat and Kümmecke, Maximilian and Tachibana, Kikuë},
  issn         = {2666-1667},
  journal      = {STAR Protocols},
  number       = {1},
  publisher    = {Elsevier},
  title        = {{Protocol for integrative analysis of transcription factor-nucleosome interactions using SeEN-seq and cryo-EM structure determination}},
  doi          = {10.1016/j.xpro.2025.104295},
  volume       = {7},
  year         = {2026},
}

@article{17437,
  abstract     = {We prove that the zero-fiber of the moment map of a totally negative quiver has rational singularities. Our proof consists in generalizing dimension bounds on jet spaces of this fiber, which were introduced by Budur. We also transfer the rational singularities property to other moduli spaces of objects in 2-Calabi-Yau categories, based on recent work of Davison. This has interesting arithmetic applications on quiver moment maps and moduli spaces of objects in 2-Calabi-Yau categories. First, we generalize results of Wyss on the asymptotic behaviour of counts of jets of quiver moment maps over finite fields. Moreover, we interpret the limit of counts of jets on a given moduli space as its p-adic volume under a canonical measure analogous to the measure built by Carocci, Orecchia and Wyss on certain moduli spaces of coherent sheaves.},
  author       = {Vernet, Tanguy},
  issn         = {1531-586X},
  journal      = {Transformation Groups},
  pages        = {1047--1083},
  publisher    = {Springer Nature},
  title        = {{Rational singularities for moment maps of totally negative quivers}},
  doi          = {10.1007/s00031-024-09873-0},
  volume       = {31},
  year         = {2026},
}

@article{20973,
  abstract     = {CuAgSe-based materials are attractive for low-temperature thermoelectric (TE) applications but are limited by bipolar conduction and relatively high thermal conductivity. Herein, we report a ligand-free aqueous synthesis of Te-doped CuAgSe (CuAgSe1-xTex), where structural and electronic modulation improve carrier transport and suppress phonon propagation. Ex-situ time-resolved X-ray diffraction reveals a spontaneous growth mechanism, while density functional theory calculations show that Te-5s and 5p orbitals hybridization generates localized states and an asymmetric density of states, thereby enhancing the Seebeck coefficient. Electron microscopy and strain analyses confirm that Te-doping introduces a high density of lattice dislocations and grain boundaries, leading to a reduced lattice thermal conductivity of 0.11 W m−1K−1 at 443 K. These synergistic effects translate into device-level performance—the first integrated CuAgSe thermoelectric modules, exhibit a maximum cooling temperature difference of 27.3 K, and power density of 0.34 W cm−2 with a conversion efficiency of 3.6% at a modest temperature gradient of 136 K. These results demonstrate that CuAgSe1-xTex enables efficient energy harvesting and localized cooling under small temperature gradient, underscoring the importance of structural and electronic design beyond conventional zT benchmarks.},
  author       = {Meng, Weite and Li, Mingquan and Wang, Qingyue and Song, Pingan and Yang, Xuan and Wang, Wen Jun and Hong, Min and Ibáñez, Maria and Cabot, Andreu and Zhang, Yu and Liu, Yu and Lim, Khak Ho},
  issn         = {1613-6829},
  journal      = {Small},
  number       = {25},
  publisher    = {Wiley},
  title        = {{Efficient near room temperature thermoelectric cooling and power generation with CuAgSe}},
  doi          = {10.1002/smll.202513035},
  volume       = {22},
  year         = {2026},
}

@article{21017,
  abstract     = {With the growing interest in blockchains, permissioned approaches to consensus have received increasing attention. Unfortunately, the BFT consensus algorithms that are the backbone of most of these blockchains scale poorly and offer limited throughput. In fact, many state-of-the-art BFT consensus algorithms require a single leader process to receive and validate votes from a quorum of processes and then broadcast the result, which is inherently non-scalable. Recent approaches avoid this bottleneck by using dissemination/aggregation trees to propagate values and collect and validate votes. However, the use of trees increases the round latency, which limits the throughput for deeper trees. In this paper we propose Kauri, a BFT communication abstraction that sustains high throughput as the system size grows by leveraging a novel pipelining technique to perform scalable dissemination and aggregation on trees. Furthermore, when the number of faults is moderate (arguably the most common case in practice), our construction is able to recover from faults in an optimal number of reconfiguration steps. We implemented and experimentally evaluated Kauri with up to 800 processes. Our results show that Kauri outperforms the throughput of state-of-the-art permissioned blockchain protocols, by up to 58x without compromising latency. Interestingly, in some cases, the parallelization provided by Kauri can also decrease the latency.},
  author       = {Neiheiser, Ray and Matos, Miguel and Rodrigues, Luis},
  issn         = {1557-7333},
  journal      = {ACM Transactions on Computer Systems},
  keywords     = {Distributed systems, byzantine fault tolerance, blockchain, vote aggregation, pipelining},
  number       = {2},
  publisher    = {Association for Computing Machinery},
  title        = {{Kauri: BFT consensus with pipelined tree-based dissemination and aggregation}},
  doi          = {10.1145/3769423},
  volume       = {44},
  year         = {2026},
}

@article{14278,
  abstract     = {The Birkhoff conjecture says that the boundary of a strictly convex integrable billiard table is necessarily an ellipse. In this article, we consider a stronger notion of integrability, namely, integrability close to the boundary, and prove a local version of this conjecture: a small perturbation of almost every ellipse that preserves integrability near the boundary, is itself an ellipse. We apply this result to study local spectral uniqueness of ellipses using the connection between the wave trace of the Laplacian and the dynamics near the boundary and establish local uniqueness for almost all of them.},
  author       = {Koval, Illya},
  issn         = {1432-1297},
  journal      = {Inventiones Mathematicae},
  pages        = {221--298},
  publisher    = {Springer Nature},
  title        = {{Local strong Birkhoff conjecture and local spectral rigidity of almost every ellipse}},
  doi          = {10.1007/s00222-025-01397-y},
  volume       = {244},
  year         = {2026},
}

@article{21264,
  abstract     = {Rodents' ability to encode the whisking phase has been extensively documented through neuronal recordings from ascending sensory pathways. Yet, while indicating that reafference originates from the mechanoreceptors, the mechanistic underpinnings of the whisking phase encoding within the follicle remain unclear. Here we present anatomical, histological, and biomechanical evidence for the presence of a distinctive elastic segment (ES) within the basal part of the whisker shaft inside the follicle. This ES, composed of immature keratin, is capable of both bending and twisting. Forces generated by whisker movement deform this segment, causing whisker shaft deflections that can stimulate specific mechanoreceptor subsets within the follicle at different phases of the whisking cycle. This mechanism appears to operate during both free‐air whisking and object contact. We propose that the ES enables torsion‐based mechanoreceptor activation, allowing encoding of the whisking phase.},
  author       = {Haidarliu, Sebastian and Nelinger, Guy and Gantar, Luka and Ahissar, Ehud and Saraf‐Sinik, Inbar},
  issn         = {1932-8494},
  journal      = {The Anatomical Record},
  number       = {7},
  pages        = {1910--1924},
  publisher    = {Wiley},
  title        = {{An elastic segment of the whisker shaft enables coding of the whisking phase via whisker torsion in rats and mice}},
  doi          = {10.1002/ar.70051},
  volume       = {309},
  year         = {2026},
}

@article{20078,
  abstract     = {Let A be an abelian variety defined over a number field K, E/K be an elliptic curve, and ϕ : A → Em be an isogeny defined over K. Let P ∈ A(K) be such that ϕ(P)=(Q1,..., Qm) with RankZ(⟨Q1,...,Qm⟩)=1. We will study a divisibility sequence related to the point P and show its relation with elliptic divisibility sequences.},
  author       = {Barańczuk, Stefan and Naskręcki, Bartosz and Verzobio, Matteo},
  issn         = {0022-314X},
  journal      = {Journal of Number Theory},
  keywords     = {Divisibility sequences, Abelian varieties, Elliptic divisibility sequences, Isogenies, Primitive divisors},
  pages        = {170--183},
  publisher    = {Elsevier},
  title        = {{Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve}},
  doi          = {10.1016/j.jnt.2025.06.001},
  volume       = {279},
  year         = {2026},
}

