@article{21744,
  abstract     = {The paraventricular hypothalamus (PVH) controls behavioral and physiologic processes, including appetite, social behavior, autonomic outflow, and pituitary hormone secretion. However, molecular markers for centrally projecting PVH neuron populations remain largely undefined, and a complete census of PVH cell types has not been established. Therefore, we performed extensive single-cell/nucleus RNA sequencing to catalog PVH neuron subtypes and multiplexed error-robust fluorescence in situ hybridization (MERFISH) to map them spatially. Our spatial transcriptomic atlas resolves 26 Sim1+ and 29 GABAergic neuron populations from the PVH and surrounding areas. Additionally, projection-based profiling identified neurons that project to the parabrachial region (PB) and spinal cord, helping to determine PVH populations that regulate satiety and sympathetic nervous system activity, respectively. Notably, activation of PB-projecting PVH neurons expressing Brs3 reduces food intake, and silencing them causes obesity. Together, this atlas contributes high-resolution PVH spatial and circuit-based gene expression profiles, representing a valuable resource for the field of homeostasis.},
  author       = {Li, Yuxi and Butler, Trevor C. and Nardone, Stefano and Jacobs, Christopher L. and Douglass, Amelia May Barnett and Madara, Joseph C. and McDonough, Miriam C. and Tao, Jenkang and Lowenstein, Elijah D. and Wang, Luhong and Pant, Deepti and Walker, Samuel J. and Wang, Annette and Srinivasan, Harini and Yang, Zongfang and Campbell, John N. and Tsai, Linus T. and Lowell, Bradford B. and Resch, Jon M.},
  issn         = {2211-1247},
  journal      = {Cell Reports},
  number       = {2},
  publisher    = {Elsevier},
  title        = {{A spatial and projection-based transcriptomic atlas of paraventricular hypothalamic cell types}},
  doi          = {10.1016/j.celrep.2025.116904},
  volume       = {45},
  year         = {2026},
}

@inproceedings{21719,
  abstract     = {We develop a new algorithmic framework for designing approximation algorithms for cut-based optimization problems on capacitated undirected graphs that undergo edge insertions and deletions. Specifically, our framework dynamically maintains a variant of the hierarchical 𝑗-tree decomposition of [Madry FOCS’10], achieving a poly-logarithmic approximation factor to the graph’s cut structure and supporting edge updates in 𝑂⁡(𝑛𝜀) amortized update time, for any arbitrarily small constant 𝜀 ∈(0,1).
Consequently, we obtain new trade-offs between approximation and update/query time for fundamental cut-based optimization problems in the fully dynamic setting, including all-pairs minimum cuts, sparsest cut, multi-way cut, and multi-cut. For the last three problems, these trade-offs give the first fully-dynamic algorithms achieving poly-logarithmic approximation in sub-linear time per operation.
The main technical ingredient behind our dynamic hierarchy is a dynamic cut-sparsifier algorithm that can handle vertex splits with low recourse. This is achieved by white-boxing the dynamic cut sparsifier construction of [Abraham et al. FOCS’16], based on forest packing, together with new structural insights about the maintenance of these forests under vertex splits. Given the versatility of cut sparsification in both the static and dynamic graph algorithms literature, we believe this construction may be of independent interest.},
  author       = {Goranci, Gramoz and Henzinger, Monika H and Kiss, Peter and Momeni, Ali and Zöcklein, Gernot},
  booktitle    = {Proceedings of the 2026 Annual ACM SIAM Symposium on Discrete Algorithms},
  isbn         = {9781611978971},
  issn         = {15579468},
  pages        = {1128--1180},
  publisher    = {Society for Industrial and Applied Mathematics},
  title        = {{Dynamic hierarchical j-tree decomposition and its applications}},
  doi          = {10.1137/1.9781611978971.45},
  volume       = {2026-January},
  year         = {2026},
}

@inproceedings{21717,
  abstract     = {Robust Markov Decision Processes (RMDPs) generalize classical MDPs that consider uncertainties in transition probabilities by defining a set of possible transition functions. An objective is a set of runs (or infinite trajectories) of the RMDP, and the value for an objective is the maximal probability that the agent can guarantee against the adversarial environment. We consider (a) reachability objectives, where given a target set of states, the goal is to eventually arrive at one of them; and (b) parity objectives, which are a canonical representation for ω-regular objectives. The qualitative analysis problem asks whether the objective can be ensured with probability 1. In this work, we study the qualitative problem for reachability and parity objectives on RMDPs without making any assumption over the structures of the RMDPs, e.g., unichain or aperiodic. Our contributions are twofold. We first present efficient algorithms with oracle access to uncertainty sets that solve qualitative problems of reachability and parity objectives. We then report experimental results demonstrating the effectiveness of our oracle-based approach on classical RMDP examples from the literature scaling up to thousands of states.},
  author       = {Asadi, Ali and Chatterjee, Krishnendu and Kafshdar Goharshadi, Ehsan and Karrabi, Mehrdad and Shafiee, Ali},
  booktitle    = {Proceedings of the 40th AAAI Conference on Artificial Intelligence},
  issn         = {2374-3468},
  location     = {Singapore, Singapore},
  number       = {43},
  pages        = {36137--36145},
  publisher    = {Association for the Advancement of Artificial Intelligence},
  title        = {{Qualitative analysis of ω-regular objectives on robust MDPs}},
  doi          = {10.1609/aaai.v40i43.40931},
  volume       = {40},
  year         = {2026},
}

@inproceedings{21722,
  abstract     = {Partially observable Markov decision processes (POMDPs) are a central model for uncertainty in sequential decision making. The most basic objective is the reachability objective, where a target set must be eventually visited, and the more general parity objectives can model all omega-regular specifications. For such objectives, the computational analysis problems are the following: (a) qualitative analysis that asks whether the objective can be satisfied with probability 1 (almost-sure winning) or probability arbitrarily close to 1 (limit-sure winning); and (b) quantitative analysis that asks for the approximation of the optimal probability of satisfying the objective. For general POMDPs, almost-sure analysis for reachability objectives is EXPTIME-complete, but limit-sure and quantitative analyses for reachability objectives are undecidable; almost-sure, limit-sure, and quantitative analyses for parity objectives are all undecidable. A special class of POMDPs, called revealing POMDPs, has been studied recently in several works, and for this subclass the almost-sure analysis for parity objectives was shown to be EXPTIME-complete. In this work, we show that for revealing POMDPs the limit-sure analysis for parity objectives is EXPTIME-complete, and even the quantitative analysis for parity objectives can be achieved in EXPTIME.},
  author       = {Asadi, Ali and Chatterjee, Krishnendu and Lurie, David and Saona Urmeneta, Raimundo J},
  booktitle    = {Proceedings of the AAAI Conference on Artificial Intelligence},
  issn         = {2374-3468},
  location     = {Singapore, Singapore},
  number       = {43},
  pages        = {36146--36154},
  publisher    = {Association for the Advancement of Artificial Intelligence},
  title        = {{Revealing POMDPs: Qualitative and quantitative analysis for parity objectives}},
  doi          = {10.1609/aaai.v40i43.40932},
  volume       = {40},
  year         = {2026},
}

@inproceedings{21720,
  abstract     = {We present an exact fully-dynamic minimum cut algorithm that runs in 𝑛𝑜⁡(1) deterministic update time when the minimum cut size is at most 2Θ⁡(log3/4−𝑐⁡𝑛) for any 𝑐 >0, improving on the previous algorithm of Jin, Sun, and Thorup (SODA 2024) whose minimum cut size limit is (log⁡𝑛)𝑜⁡(1). Combined with graph sparsification, we obtain the first (1 +𝜖)-approximate fully-dynamic minimum cut algorithm on weighted graphs, for any 𝜖 ≥2−Θ⁡(log3/4−𝑐⁡𝑛), in 𝑛𝑜⁡(1) randomized update time.
Our main technical contribution is a deterministic local minimum cut algorithm, which replaces the randomized LocalKCut procedure from El-Hayek, Henzinger, and Li (SODA 2025).},
  author       = {El-Hayek, Antoine and Henzinger, Monika H and Li, Jason},
  booktitle    = {Proceedings of the Annual ACM SIAM Symposium on Discrete Algorithms},
  issn         = {1557-9468},
  location     = {Vancouver, Canada},
  pages        = {613--663},
  publisher    = {Society for Industrial and Applied Mathematics},
  title        = {{Deterministic and exact fully-dynamic minimum cut of superpolylogarithmic size in subpolynomial time}},
  doi          = {10.1137/1.9781611978971.25},
  volume       = {2026},
  year         = {2026},
}

@article{21748,
  abstract     = {Cells are defined by lipid membranes that differ in their structure across the tree of life. While the membranes of most bacteria and eukaryotes consist of single-headed bilayer lipids, the membranes of archaea are composed of mixtures of single-headed bilayer lipids and double-headed bolalipids. Archaeal bolalipids can adopt straight or u-shaped conformations, enabling them—together with bilayer lipids—to control whether membranes form bilayer or monolayer structures. Yet, the physical principles governing archaeal membranes remain largely unexplored, especially how membrane structure couples to externally imposed curvature during membrane remodeling. Here, we perform coarse-grained molecular dynamics simulations of toroidal vesicles to systematically probe the effects of all relevant combinations of mean and Gaussian curvatures on shape stability and lipid organization. We find that soft bilayer membranes can sustain all curvatures induced, whereas rigid bolalipid monolayer membranes either transition to different vesicle shapes or rupture. Bilayer-mimicking u-shaped bolalipids and bilayer lipids are spatially accumulated in regions of high mean membrane curvature independent of Gaussian curvature. Our work identifies curvature–composition coupling as a physical signature of archaeal membrane remodeling.},
  author       = {Frey, Felix F and Santana de Freitas Amaral, Miguel and Šarić, Anđela},
  issn         = {1089-7690},
  journal      = {Journal of Chemical Physics},
  number       = {14},
  publisher    = {AIP Publishing},
  title        = {{Cracking donuts and sorting lipids: Geometry controls archaeal membrane stability and lipid organization}},
  doi          = {10.1063/5.0325170},
  volume       = {164},
  year         = {2026},
}

@article{21747,
  abstract     = {Entanglement does not always require one particle per party. It was predicted some 30 years ago that a single photon traversing a beam splitter could violate a Bell inequality. Although initially debated, single-photon nonlocality was eventually demonstrated via homodyne measurements. Here, we present an alternate realization that avoids the complexity of homodyne measurements and potential loopholes in their implementation. We violate a Bell inequality by performing joint measurements on two copies of the same single-photon entangled state, where one photon acts as a phase reference for the other, making it self-referential. We observe CHSH parameters of 2.71 = 0.09 and 2.23 = 0.07, depending on the joint measurements implemented. This offers a perspective on single-photon nonlocality and a more accessible experimental route, potentially applicable to general mode-entangled states in diverse platforms.},
  author       = {Kun, Daniel and Strömberg, Karl T and Dakić, Borivoje and Walther, Philip and Rozema, Lee A.},
  issn         = {2334-2536},
  journal      = {Optica},
  number       = {4},
  pages        = {745--751},
  publisher    = {Optica Publishing Group},
  title        = {{Testing single-photon entanglement using self-referential measurements}},
  doi          = {10.1364/OPTICA.586172},
  volume       = {13},
  year         = {2026},
}

@misc{21800,
  abstract     = {LAMMPS input scripts to simulate toroidal vesicles composed of pure bolalipid membranes and archaeal mixture membranes for the following publication: "Cracking donuts and sorting lipids: geometry controls archaeal membrane stability and lipid organization" by Felix Frey, Miguel Amaral, and Andela Saric.},
  author       = {Frey, Felix F and Santana de Freitas Amaral, Miguel and Šarić, Anđela},
  publisher    = {Zenodo},
  title        = {{Cracking donuts and sorting lipids: Geometry controls archaeal membrane stability and lipid organization}},
  doi          = {10.5281/ZENODO.18772086},
  year         = {2026},
}

@article{21750,
  abstract     = {Liquid-like superionic conductors, with highly mobile ions in a rigid framework, offer intrinsically low lattice thermal conductivity without compromising electronic transport. Argyrodite-type Ag8SnSe6 exhibits a melt-like Ag sublattice that drives lattice thermal conductivity (κL) below 0.2 watts per meter per kelvin, yet its low carrier concentration limits the power factor. Here, interstitial Ag atoms raise the Fermi level into the conduction band, substantially increasing the electron concentration. Simultaneously, the formation of a secondary Ag2Se phase generates lattice distortions that enhance phonon scattering. A pronounced mismatch between electronic (~200 nanometers) and phononic (~0.22 nanometers) mean free paths decouples charge and heat transport, enabling concurrent suppression of κL and retention of high electrical conductivity. This coupled electronic-phononic modulation yields a record ZT of 0.72 at ambient temperature and a peak ZT of 1.1 at 735 kelvins, with an average ZTavg of 0.72 over 320 to 735 kelvins. A unicouple device achieves 6.3% efficiency under a 357-kelvin gradient, highlighting a practical strategy for high-performance midtemperature thermoelectrics.},
  author       = {Li, Mengyao and Zhao, Xueke and Zhang, Yu and Yu, Jing and Liu, Xuyang and Jia, Mochen and Song, Hongzhang and Wang, Dongyang and Arbiol, Jordi and Ibáñez, Maria and Shan, Chongxin and Cabot, Andreu and Wang, Ziyu},
  issn         = {2375-2548},
  journal      = {Science Advances},
  number       = {15},
  publisher    = {AAAS},
  title        = {{Electronic-phononic decoupling and Fermi-level tuning enable high thermoelectric performance in Ag8SnSe6}},
  doi          = {10.1126/sciadv.aec9073},
  volume       = {12},
  year         = {2026},
}

@article{21751,
  abstract     = {We define a certain class of simple varieties over a field k by a constructive recipe and show how to control their (equivariant) truncating invariants. Consequently, we prove that on simple varieties: (i) if k = k and char k = p, the p-adic cyclotomic trace is an equivalence; (ii) if k = Q, the Goodwillie–Jones trace is an isomorphism in degree zero; (iii) we can control homotopy invariant K-theory KH, which is equivariantly formal and determined by its topological counterparts. Simple varieties are quite special, but encompass important singular examples appearing in geometric representation theory. We, in particular, show that both finite and affine Schubert varieties for GLn lie in this class, so all the above results hold for them. },
  author       = {Löwit, Jakub},
  issn         = {1687-0247},
  journal      = {International Mathematics Research Notices},
  number       = {7},
  publisher    = {Oxford University Press},
  title        = {{Equivariant localizing invariants of simple varieties}},
  doi          = {10.1093/imrn/rnag058},
  volume       = {2026},
  year         = {2026},
}

@article{21749,
  abstract     = {The collagen triple helix assembles hierarchically into bundled oligomers, solvated networks, and fibers. Synthetic peptide assemblies, driven by supramolecular interactions, can form single triple helices through intrahelical amino acid pairs; however, the principles guiding interhelical associations into higher-order structures remain unclear. Here, we incorporate cation−π and electrostatic charge pairs to probe interhelical interactions and elucidate the mechanisms driving triple helix assembly into fibrils, nanotubes, and nanosheets. Introducing cation−π pairs into a fibrillating collagen mimetic resulted in D-periodic fibrils with pH-sensitive gelation. By alternating the presentation of electrostatic and cation−π pairs, the assembly of another D-periodic fibril featuring inner and outer triple-helical layers was resolved by cryo electron microscopy to a resolution of 8 Å. At physiological pH, antiparallel association of these triple helices leads to the formation of nanotubes. The packing behavior of triple helices correlates with the interhelical interactions, where parallel associations favor fibril formation and antiparallel interactions drive nanotube and nanosheet assembly. These self-assembling triple-helical peptides demonstrate how packing of higher-order structures can be tailored with supramolecular interactions and establish the relationship of different hierarchical collagen-mimetic assemblies as pH-dependent.},
  author       = {Cole, Carson C. and Kreutzberger, Mark A.B. and Klein, Kevin and Cahue, Kiana A. and Pogostin, Brett H. and Farsheed, Adam C. and Swain, Joseph W.R. and Bui, Thi H. and Dey, Arghadip and Makhoul, Jonathan T. and Dubackic, Marija and Pal, Antara and Olsson, Ulf and Šarić, Anđela and Egelman, Edward H. and Hartgerink, Jeffrey D.},
  issn         = {1526-4602},
  journal      = {Biomacromolecules},
  number       = {4},
  pages        = {2956--2965},
  publisher    = {American Chemical Society},
  title        = {{Supramolecular assembly of collagen-mimetic eptide D-periodic fibrils and nanoassemblies}},
  doi          = {10.1021/acs.biomac.6c00345},
  volume       = {27},
  year         = {2026},
}

@article{21763,
  abstract     = {Reactive oxygen species (ROS) have been implicated in multiple signaling processes in plants, but the underlying mechanisms and roles remain enigmatic. In this study, we developed a method of live imaging of apoplastic ROS at the root surface. Distinct signals, including auxin, extracellular adenosine triphosphate, and rapid alkalinization factor 1 peptide, induce cytosolic calcium transients and apoplastic ROS bursts. Genetic and optogenetic manipulations of Arabidopsis identified calcium transients as necessary and sufficient for ROS bursts through activation of reduced nicotinamide adenine dinucleotide phosphate (NADPH) oxidases RBOHC and RBOHF. Apoplastic ROS bursts are not required, but they do limit gravity-induced root bending. Root bending is sensed by the stretch-activated calcium channel MCA1, leading to NADPH oxidase activation. The resulting ROS production stiffens cell walls to facilitate soil penetration. Apoplastic ROS thus provides a means to balance tissue flexibility and stiffness to navigate soil.},
  author       = {Kulich, Ivan and Vladimirtsev, Dmitrii and Randuch, Marek and Gao, Shiqiang and Citterico, Matteo and Konrad, Kai R. and Nagel, Georg and Wrzaczek, Michael and Cascaro, Léa and Vinet, Pauline and Durand, Pauline and Asnacios, Atef and Verma, Lokesh and Bennett, Malcolm J. and Pandey, Bipin K. and Friml, Jiří},
  issn         = {1095-9203},
  journal      = {Science},
  number       = {6795},
  pages        = {296--300},
  publisher    = {AAAS},
  title        = {{Calcium-triggered apoplastic ROS bursts balance gravity and mechanical signals for soil navigation}},
  doi          = {10.1126/science.adu8197},
  volume       = {392},
  year         = {2026},
}

@article{21777,
  abstract     = {The advantageous characteristics attributed to the 19F nucleus have made it a popular target for nuclear magnetic resonance (NMR) once again in recent years. Aside from solution NMR, an increasing number of studies have been conducted applying solid-state magic-angle spinning (MAS) NMR to fluorine-labelled samples. Here, the high chemical shift anisotropy and strong dipolar couplings can be utilised to get structural insights into proteins and measure long distances. Despite increasing popularity and promising benefits, the sensitivity of biomolecular 19F MAS NMR often suffers from slow longitudinal T1 relaxation and therefore long recycle delays. In this work, we expand paramagnetic doping, an approach commonly used to reduce proton T1 relaxation times, to 19F-labelled biological samples. We study the effect of Gd(DTPA) and Gd(DTPA-BMA) on 19F T1 and T2, and 13C T1 and T2 relaxation in a [5-19F13C]-tryptophan-labelled protein via 19F-detected MAS NMR experiments. The observed paramagnetic relaxation enhancement substantially reduces measurement times of 19F MAS NMR experiments without compromising resolution. Additionally, we report the chemical shift assignments of all four fluorotryptophan signals in the 12×39 kDa-large protein TET2 using a mutagenesis approach.},
  author       = {Becker, Lea Marie and Toscano, Giorgia and Kapitonova, Anna and Singh, Rajkumar and Guillerm, Undina and Lichtenecker, Roman J. and Schanda, Paul},
  issn         = {2699-0016},
  journal      = {Magnetic Resonance},
  number       = {1},
  pages        = {29--37},
  publisher    = {Copernicus Publications},
  title        = {{Accelerated 19F biomolecular magic-angle spinning NMR with paramagnetic dopants}},
  doi          = {10.5194/mr-7-29-2026},
  volume       = {7},
  year         = {2026},
}

@article{21780,
  abstract     = {It is predicted that half or more of all cataclysmic variables (CVs) should have evolved past the period minimum and now exist as so-called period bouncers where a white dwarf should be accreting from a Roche lobe filling substellar companion. However, this prediction stands in stark contrast to observations, where only a few per cent of CVs are found in this evolutionary phase. A potential solution to this discrepancy is that a magnetic field emerges from within the white dwarf after the system has reached the period minimum. The transfer of angular momentum from the spin of the white dwarf into the orbit then pushes the two stars apart, detaching them for potentially billions of years. Here we present the discovery of ZTF J021804.16+071152.93, a detached 0.69 +- 0.01 M⁠, 19 MG magnetic white dwarf plus 37 +- 5MJup brown dwarf binary with an orbital period of 1.7 h. The kinematics of the system indicate that it is a high probability member of the Galactic thick disc. However, this strongly disagrees with the much younger age of the system obtained from the white dwarf parameters, implying that the system may have been accreting in the past. This system is therefore consistent with having detached as a result of the emergence of the magnetic field of the white dwarf when the system was still mass transferring, and may represent the ultimate fate for many (perhaps even most) CVs.},
  author       = {Parsons, S. G. and Brown, A. J. and Casewell, S. L. and Littlefair, S. P. and van Roestel, Joannes C and Rebassa-Mansergas, A. and Murillo-Ojeda, R. and Zorotovic, M. and Schreiber, M. R. and Bagnulo, S. and Stroet, M. A. and Castro Segura, N. and Dhillon, V. S. and Dyer, M. J. and Garbutt, J. A. and Green, M. J. and Jarvis, D. and Kennedy, M. R. and Kerry, P. and Mccormac, J. and Munday, J. and Pelisoli, I. and Pike, E. and Sahman, D. I. and Yates, A.},
  issn         = {1365-2966},
  journal      = {Monthly Notices of the Royal Astronomical Society},
  number       = {4},
  publisher    = {Oxford University Press},
  title        = {{ZTF J021804.16+071152.93: A dead cataclysmic variable and potential solution to the missing period bouncer cataclysmic variables}},
  doi          = {10.1093/mnras/stag521},
  volume       = {547},
  year         = {2026},
}

@article{21776,
  abstract     = {Pyridyl motifs equipped with N-substituents can be powerful ligands for catalysis, yet their broader adoption is limited by the lack of a practical method to prepare these scaffolds. We report a modular, robust, and versatile Buchwald–Hartwig amination protocol that enables the rapid synthesis of bipyridine, phenanthroline, terpyridine, and pybox ligands bearing dialkylamine, diarylamine, and heteroaromatic N-substituents. These conditions streamline ligand library synthesis and will facilitate systematic studies in catalysis and related applications.},
  author       = {Petrik, Adam and Bena, Aleksander and Baunis, Haralds and Kelch, Riley M. and Yoon, Tehshik P. and Pieber, Bartholomäus},
  issn         = {1615-4169},
  journal      = {Advanced Synthesis & Catalysis},
  number       = {9},
  publisher    = {Wiley},
  title        = {{Facile access to N-substituted pyridyl ligands}},
  doi          = {10.1002/adsc.70417},
  volume       = {368},
  year         = {2026},
}

@article{21781,
  abstract     = {Given a set A of n points (vertices) in general position in the plane, the complete geometric graph 
Kn[A] consists of all (n2) segments (edges) between the elements of A. It is known that the edge set of every complete geometric graph on n vertices can be partitioned into O(n3∕2) crossing-free paths (or matchings). We strengthen this result under various additional assumptions on the point set. In particular, we prove that for a set A of n randomly selected points, uniformly distributed in [0,1]2, with probability tending to 1 as n→∞, the edge set of Kn[A] can be covered by O(nlogn) crossing-free paths and by O(n√logn) crossing-free matchings. On the other hand, we construct n-element point sets such that covering the edge set of Kn[A] requires a quadratic number of monotone paths.},
  author       = {Dumitrescu, Adrian and Pach, János and Saghafian, Morteza and Scott, Alex},
  issn         = {2996-220X},
  journal      = {Combinatorics and Number Theory},
  number       = {1},
  pages        = {73--82},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{Covering complete geometric graphs by monotone paths}},
  doi          = {10.2140/cnt.2026.15.73},
  volume       = {15},
  year         = {2026},
}

@article{21778,
  abstract     = {We prove that every 𝐿-bilipschitz mapping ℤ 2 → ℝ2 canbe extended to a 𝐶(𝐿)-bilipschitz mapping ℝ2 → ℝ2,and we provide a polynomial upper bound for 𝐶(𝐿).Moreover, we extend the result to every separated netin ℝ2 instead of ℤ 2, with the upper bound gaininga polynomial dependence on the separation and netconstants associated to the given separated net. Thisanswers an Oberwolfach question of Navas from 2015and is also a positive solution of the two-dimensionalform of a decades old open (in all dimensions at leasttwo) problem due to Alestalo Trotsenko and Väisälä.},
  author       = {Dymond, Michael and Kaluza, Vojtech},
  issn         = {1469-7750},
  journal      = {Journal of the London Mathematical Society},
  number       = {4},
  publisher    = {Wiley},
  title        = {{Planar bilipschitz extension from separated nets}},
  doi          = {10.1112/jlms.70540},
  volume       = {113},
  year         = {2026},
}

@article{21846,
  abstract     = {We compile a sample of 83 little red dots (LRDs) with JWST imaging and find that a substantial fraction (∼43%, rising to ≳80% for the most luminous LRDs) host one or more spatially offset, UV-bright companions at projected separations of 0.5 kpc ≲ d ≲ 5 kpc, with median 〈d〉 = 1.0 kpc. This fraction is even higher when smaller spatial scales are probed at high signal-to-noise ratio: the two most strongly lensed LRDs, A383-LRD1 and the newly discovered A68-LRD1, both have UV-bright companions at separations of only d ∼ 0.3 kpc, below the resolution limit of most unlensed JWST samples. We explore whether these ubiquitous red/blue configurations may be physically linked to the formation of LRDs, in analogy with the “synchronized pair” scenario originally proposed for direct-collapse black hole formation. In this picture, UV radiation from the companions, with typically modest stellar masses (M∗ ∼ 108−109 M⊙), suppresses molecular hydrogen cooling in nearby gas, allowing nearly isothermal collapse and the formation of extremely compact objects, such as massive black holes, supermassive stars, or quasi-stars. Using component-resolved photometry and spectral energy distribution modeling, we infer Lyman–Werner radiation fields of J21,LW ∼ 102.5–105 at the locations of the red components, comparable to those required in direct-collapse models, suggesting that the necessary photodissociation conditions are realized in many LRD systems. This framework provides a simple and self-consistent explanation for the extreme compactness and distinctive spectral properties of LRDs and links long-standing theoretical models for early compact object formation directly to a population now observed with JWST in the early Universe.},
  author       = {Baggen, Josephine F.W. and Scoggins, Matthew T. and Van Dokkum, Pieter and Haiman, Zoltán and Torralba Torregrosa, Alberto and Matthee, Jorryt J},
  issn         = {2041-8213},
  journal      = {The Astrophysical Journal Letters},
  number       = {1},
  publisher    = {IOP Publishing},
  title        = {{Connecting the dots: UV-bright companions of Little Red Dots as Lyman–Werner sources enabling direct-collapse Black Hole formation}},
  doi          = {10.3847/2041-8213/ae58a5},
  volume       = {1002},
  year         = {2026},
}

@article{21845,
  abstract     = {UTe2 exhibits the remarkable phenomenon of re-entrant superconductivity, whereby the zero-resistance state reappears above 40 tesla after being suppressed with a field of around 10 tesla. One potential pairing mechanism, invoked in the related re-entrant superconductors UCoGe and URhGe, involves transverse fluctuations of a ferromagnetic order parameter. However, the requisite ferromagnetic order—present in both UCoGe and URhGe—is absent in UTe2, and neutron scattering shows instead that the magnetic susceptibility is peaked at an antiferromagnetic wavevector. Here, we measure the magnetotropic susceptibility of UTe2 across two field-angle planes. This quantity is sensitive to the magnetic susceptibility in a direction transverse to the applied magnetic field—a quantity that is not accessed in conventional magnetization measurements. We observe a very large decrease in the magnetotropic susceptibility over a broad range of field orientations, indicating a large increase in the transverse magnetic susceptibility. Because our technique probes the magnetic susceptibility in the long wavelength (q = 0) limit, this suggests that the strong transverse susceptibility arises from ferromagnetic spin fluctuations. These ferromagnetic fluctuations are likely important for understanding the pairing mechanism in UTe2, as all three superconducting phases of UTe2 surround this region of enhanced susceptibility in the field-angle phase diagram.},
  author       = {Zambra, Valeska and Nathwani, Amit and Nauman, Muhammad and Lewin, Sylvia K. and Frank, Corey E. and Butch, Nicholas P. and Shekhter, Arkady and Ramshaw, B. J. and Modic, Kimberly A},
  issn         = {2041-1723},
  journal      = {Nature Communications},
  publisher    = {Springer Nature},
  title        = {{Giant transverse magnetic fluctuations at the edge of re-entrant superconductivity in UTe2}},
  doi          = {10.1038/s41467-026-71899-7},
  volume       = {17},
  year         = {2026},
}

@article{21847,
  abstract     = {Analog quantum simulators provide access to many-body dynamics beyond the reach of classical computation. However, extracting physical insights from experimental data is often hindered by measurement noise, limited observables, and incomplete knowledge of the underlying microscopic model. Here, we develop a machine learning approach based on a variational autoencoder (VAE) to analyze interference measurements of tunnel-coupled one-dimensional Bose gases, which realize the sine-Gordon quantum field theory. Trained in an unsupervised manner, the VAE learns a minimal latent representation that strongly correlates with the equilibrium control parameter of the system. Applied to nonequilibrium protocols, the latent space uncovers signatures of frozen-in solitons following rapid cooling, and reveals anomalous postquench dynamics not captured by conventional correlation-based methods. These results demonstrate that generative models can extract physically interpretable variables directly from noisy and sparse experimental data, providing complementary probes of equilibrium and nonequilibrium physics in quantum simulators. More broadly, our work highlights how machine learning can supplement established field-theoretical techniques, paving the way for scalable, data-driven discovery in quantum many-body systems.},
  author       = {Moller, Frederik Skovbo and Fernández-Fernández, Gabriel and Schweigler, Thomas and De Schoulepnikoff, Paulin and Schmiedmayer, Jörg and Muñoz-Gil, Gorka},
  issn         = {2643-1564},
  journal      = {Physical Review Research},
  number       = {2},
  publisher    = {American Physical Society},
  title        = {{Learning minimal representations of many-body physics from snapshots of a quantum simulator}},
  doi          = {10.1103/r7pj-gl7r},
  volume       = {8},
  year         = {2026},
}