@article{22303,
  abstract     = {We present the discovery of AT 2024wpp (‘Whippet’), a fast and luminous 18cow-like transient. At a redshift of z = 0 . 0868 , revealed by Keck Cosmic Web Imager spectroscopy of its faint star-forming host, it is the fourth-nearest example of its class to date. Rapid identification of the source in the Zwicky Transient Facility data stream permitted ultraviolet-through- optical observations to be obtained prior to peak, allowing the first determination of the peak bolometric luminosity ( 2 ×1045 erg s−1 ), maximum photospheric radius ( 1015 cm), and total radiated energy ( 1051 erg) of an 18cow-like object. We present results from a comprehensive multiwavelength observing campaign, including a far-ultraviolet spectrum from the Cosmic Origins Spectrograph on the Hubble Space Telescope and deep imaging extending > 100 d post-explosion from the Very Large Telescope, Hubble Space Telescope , Very Large Array, and Atacama Large Millimetre Array. We interpret the observations under a model in which a rapidly accreting central engine blows a fast ( ∼0.2 c ) wind into the surrounding medium and irradiates it with X-rays. The high Doppler velocities and intense ionization within this wind prevent identifiable spectroscopic features from appearing in the ejecta or in the surrounding circumstellar material. Weak H and He signatures do emerge in the spectra after 35 d in the form of double-peaked narrow lines. Each peak is individually narrow (full width δv ∼3000 km s−1 ) but the two components are separated by v ∼6600 km s−1 , indicating stable structures of denser material, possibly representing streams of tidal ejecta or an ablated companion star.},
  author       = {Perley, Daniel A and Ho, Anna Y Q and McGrath, Zoë and Camilo, Michael and Sevilla, Cassie and Chen, Ping and Schroeder, Genevieve and Govreen-Segal, Taya and Bochenek, Aleksandra and Qin, Yu-Jing and Gillanders, James H and Amend, Benjamin and Anderson, Joseph P and Andreoni, Igor and Aryan, Amar and Bellm, Eric C and Bloom, Joshua S and de Boer, Thomas and Carney, Jonathan and Caiazzo, Ilaria and Chambers, Ken C and Charalampopoulos, Panos and Chen, Ting-Wan and Chen, Tracy X and Coughlin, Eric R and Coughlin, Michael and Dennefeld, Michel and Dimitriadis, Georgios and Fremling, Christoffer and Frostig, Danielle and Gal-Yam, Avishay and Galbany, Lluís and Gangopadhyay, Anjashay and Ghendrih, Melzie and Graham, Matthew J and Gromadzki, Mariusz and Groom, Steven L and Gutiérrez, Claudia P and Hinds, K -Ryan and Huber, Mark E and Inserra, Cosimo and Kaiser, Benjamin C and Kasliwal, Mansi M and Koivisto, Niilo E and Lin, Chien-Cheng and Liu, Chang and Lowe, Thomas B and Magnier, Eugene and Mahabal, Ashish A and Milligan, Andrew and Minguez, Paloma and Mo, Geoffrey and Müller-Bravo, Tomás E and Nicholl, Matt and Pessi, Priscila J and Pignata, Giuliano and Purdum, Josiah and Rehemtulla, Nabeel and Rich, R Michael and Sahu, Anwesha and Singh, Avinash and Smartt, Stephen J and Smith, Ian A and Sollerman, Jesper and Srinivasaragavan, Gokul and Srivastav, Shubham and Stein, Robert D and Schulze, Steve and Tweddle, Jack W and Wainscoat, Richard and Wise, Jacob L and Yan, Lin and Young, David R},
  issn         = {1365-2966},
  journal      = {Monthly Notices of the Royal Astronomical Society},
  keywords     = {stars: black holes, supernovae: individual: AT2024wpp, radio continuum: transients},
  number       = {1},
  publisher    = {Oxford University Press},
  title        = {{AT 2024wpp: An extremely luminous fast ultraviolet transient powered by accretion onto a black hole}},
  doi          = {10.1093/mnras/stag678},
  volume       = {549},
  year         = {2026},
}

@article{22301,
  abstract     = {Auxin, primarily indole-3-acetic acid (IAA), is a central regulator of growth and development in land plants, but its physiological role in chlorophyte algae remains unclear. Here, we show that exogenous IAA modulates growth in Chlorella sorokiniana, Chlorella variabilis, and Chlamydomonas reinhardtii in a concentration-dependent manner. Low IAA concentrations promoted growth by accelerating the onset of cell division without affecting cell size, whereas higher concentrations inhibited proliferation. Radiotracer assays showed that all three species take up and release IAA across the plasma membrane through a combination of passive diffusion and energy-dependent, saturable processes. Competition by excess unlabeled natural and synthetic auxins further supported the presence of carrier-mediated transport with broad substrate recognition. Phylogenetic analyses identified potential PIN-like auxin exporters in chlorophytes and other non-plant eukaryotes, and structural modeling supported conservation of the overall PIN fold and predicted auxin-binding residues. However, functional assays in Xenopus laevis oocytes, tobacco BY-2 cultured cells, and Arabidopsis thaliana did not support a role for these proteins in directional auxin export. Instead, non-plant PIN homologs localized predominantly to the endoplasmic reticulum and showed limited or no transport activity in heterologous systems. Together, these findings indicate that auxin responsiveness and basic cellular auxin transport predate canonical PIN-mediated directional auxin export, which appears to be a later innovation of the streptophyte lineage.},
  author       = {Smoljan, Adrijana and Koutnik‐Abele, Sarah and Vladimirtsev, Dmitrii and Klíma, Petr and Bírošíková, Anita and Zhang, Yuzhou and Merrin, Jack and Schuster, Maximilian and Kurtović, Katarina and Hammes, Ulrich Z. and Petrášek, Jan and Friml, Jiří},
  issn         = {1744-7909},
  journal      = {Journal of Integrative Plant Biology},
  publisher    = {Wiley},
  title        = {{Auxin response and PIN‐mediated transport in chlorophyte algae}},
  doi          = {10.1111/jipb.70309},
  year         = {2026},
}

@inproceedings{22129,
  abstract     = {Inside–outside classification is widely used for geometry processing tasks such as surface reconstruction, geometry completion,
and calculating signed distance fields. We introduce a new integral formulation of this problem, which assigns confidence
scores that points are inside or outside, given incomplete boundary geometry. Even though our geometric construction does
not appear in previous work, we show that it is unexpectedly linked to both the well-established generalized winding number
(GWN) and pseudonormal methods for geometry completion, and it provably reduces to either one of them for specific values
of a control parameter. The results obtained with our method frequently outperform screened Poisson surface reconstruction
(PSR), GWN, and the pseudonormal method in terms of quality, and are at least on par with them on all of our examples. Unlike
these methods, our algorithm naturally extends to the multi-label setting, in which regions with an arbitrary number of colors
or physical materials can be reconstructed, and non-manifold features such as T-junctions may appear in the interface and
boundary geometry},
  author       = {Wei, Ziyu  and Hafner, Christian and Kalinov, Aleksei and Synak, Peter and Wojtan, Christopher J},
  booktitle    = {Computer Graphics Forum},
  location     = {Bern, Switzerland},
  number       = {5},
  publisher    = {Wiley},
  title        = {{Circles of confidence for multi-label geometry completion}},
  doi          = {10.1111/cgf.70516},
  volume       = {45},
  year         = {2026},
}

@inproceedings{22299,
  abstract     = {The depth poset of a filtered Lefschetz complex reflects the dependencies between the cancellations of different shallow birth-death pairs. Using the fast algorithms for computing the depth poset in [Edelsbrunner et al., 2026] and for updating the persistence diagram under transpositions in [Cohen-Steiner et al., 2006], we give a complete case analysis of how transpositions of cells in the filter affect the depth poset. In addition, we present statistics on the depth poset for random point data and its sensitivity to the transpositions that occur in random straight-line homotopies.},
  author       = {Edelsbrunner, Herbert and Lipiński, Michał and Mrozek, Marian and Soriano Trigueros, Manuel and Zimin, Fedor},
  booktitle    = {42nd International Symposium on Computational Geometry},
  isbn         = {9783959774185},
  issn         = {1868-8969},
  keywords     = {Algebraic topology, Lefschetz complexes, persistent homology, vines and vineyards, birth-death pairs, shallow pairs, relations, partial orders, transpositions, Theory of computation → Computational geometry},
  location     = {New Brunswick, NJ, United States},
  publisher    = {Schloss Dagstuhl – Leibniz-Zentrum für Informatik},
  title        = {{The depth poset under transpositions in the filter}},
  doi          = {10.4230/LIPICS.SOCG.2026.41},
  volume       = {367},
  year         = {2026},
}

@inproceedings{22298,
  abstract     = {Air traffic management is a critical component of aviation, aiming to balance safety, capacity and demand within controlled airspace. This research analyses Iran's domestic air transport network (2018-2021) by developing annual Origin-Destination (OD) impedance matrices based on flight frequency. The methodology quantifies network connectivity, revealing a highly centralized structure dominated by core corridors like Tehran-Mashhad, which carried over 10,500 flights in 2019. The COVID-19 pandemic caused a severe disruption in 2020, with traffic on major routes falling by nearly half, followed by a partial recovery in 2021. Analysis shows core hubs rebounded faster than peripheral airports, widening accessibility gaps. Through origin-destination matrix processing, the system identifies high density air routes and analyses historical trends in airspace utilization. The impedance matrix, validated against data (R²=0.87), successfully maps the intense service on hub links and the high impedance of sparse peripheral routes. Then an interactive Web GIS platform was implemented for spatiotemporal analysis of air traffic density.},
  author       = {Eghbali Mardekheh, Masoumeh and Argany, Meysam and Karimipour, Farid and Sedghitabar, Seyed Mohammad},
  booktitle    = {8th ISPRS Geospatial Conference},
  issn         = {2194-9050},
  keywords     = {Air Traffic simulation, Dynamic Air Traffic Corridors, Origin Destination matrix, Interactive Web GIS, Iran Aviation Network, Spatiotemporal Modelling},
  location     = {Tehran, Iran},
  number       = {-4/W8-2025},
  pages        = {493--500},
  publisher    = {Copernicus Publications},
  title        = {{Real time interactive web GIS based modelling of high traffic air corridors in Iran using origin destination matrix analysis}},
  doi          = {10.5194/isprs-annals-x-4-w8-2025-493-2026},
  volume       = {X},
  year         = {2026},
}

@article{22306,
  abstract     = {The AP3 complex mediates cargo sorting and carrier assembly for the trafficking of transmembrane proteins from endosomes to lysosomes. AP3 is generally believed to localize to clathrin-free, ARF1-positive, elongated carriers in cells, but the architecture of AP3-based coats was unknown. Using in vitro reconstitution and cryo–electron tomography, we demonstrate that AP3:ARF1 spontaneously remodels membranes containing cargo and the phosphoinositide PI(3,5)P
                    <jats:sub>2</jats:sub>
                    into tubular structures coated in spiraling rows of AP3 arches and ARF1 dimers. Targeted point mutations disrupting critical AP3:ARF1 and AP3:AP3 lattice interfaces disrupt AP3 recruitment, carrier formation, and lysosomal cargo trafficking in cells. We propose that AP3 generates tubular carriers on endosomes by organizing ARF1 dimers into elongated membrane-deforming arrays while simultaneously selecting cargo. By demonstrating that AP3:ARF1 can generate carriers without using a clathrin lattice, we explain the clathrin independence of AP3-mediated trafficking.},
  author       = {Kaufman, Jonathan G.G. and Tagiltsev, Grigory and Stalder, Danièle S. and Taylor, Rebecca J. and Sava, Ioana and Guo, Hui and Ciazynska, Katarzyna A. and Zaccai, Nathan R. and Gray, Sally R. and Vallis, Yvonne and Höning, Stefan and Kelly, Bernard T. and Gershlick, David C. and Briggs, John A.G. and Owen, David J.},
  issn         = {2375-2548},
  journal      = {Science Advances},
  number       = {20},
  publisher    = {American Association for the Advancement of Science},
  title        = {{Architecture of clathrin-independent AP3:ARF1-coated carriers}},
  doi          = {10.1126/sciadv.aed1529},
  volume       = {12},
  year         = {2026},
}

@article{22304,
  abstract     = {We derive an analog of the Lellouch-Lüscher (LL) relation for few-body bosonic systems, linking few-body scattering loss rates to the energies and widths of the corresponding harmonically trapped few-body states. Three-body numerical simulations show that the LL relation applies across a broad range of interaction strengths and energies and allows the determination of scattering rates within a single partial wave. Our Letter establishes a robust theoretical framework for understanding the role of the finite-volume effect in few-body observables in optical lattice and tweezer experiments, enabling precise determination of multibody scattering rates.},
  author       = {Li, Jinglun and Julienne, Paul S. and Denschlag, Johannes Hecker and D’Incao, José P.},
  issn         = {1079-7114},
  journal      = {Physical Review Letters},
  number       = {20},
  publisher    = {American Physical Society},
  title        = {{Lellouch-Lüscher relation for ultracold few-atom systems under confinement}},
  doi          = {10.1103/pzlp-7k8d},
  volume       = {136},
  year         = {2026},
}

@article{22307,
  abstract     = {We investigate magnetic active matter in confined geometries using both experiments with magnetic toy robots, Hexbugs, and simulations of elongated magnetic active Brownian particles in circular domains. Standard active particles tend to accumulate at boundaries, forming clusters even at relatively low densities. In the presence of magnetic interactions, we provide evidence for a  effect that inhibits clustering and shifts its onset to higher packing fractions. Moreover, magnetic dipolar interactions give rise to collective behaviors such as train-like formations, rotating pairs, and rotating clusters.},
  author       = {Musacchio, Marco and Felber, Markus and Paoluzzi, Matteo and Gnoli, Andrea and Puglisi, Andrea and Angelani, Luca},
  issn         = {2470-0053},
  journal      = {Physical Review E},
  number       = {5},
  publisher    = {American Physical Society},
  title        = {{Fluidization induced by magnetic interactions in confined active matter}},
  doi          = {10.1103/hylm-ljlf},
  volume       = {113},
  year         = {2026},
}

@inproceedings{22302,
  abstract     = {Speculative generation has emerged as a promising technique to accelerate inference in large language models (LLMs) by leveraging parallelism to verify multiple draft tokens simultaneously. However, the fundamental limits on the achievable speedup remain poorly understood. In this work, we establish the first “tight” lower bounds on the runtime of any deterministic speculative generation algorithm. This is achieved by drawing a parallel between the token generation process and branching random walks, which allows us to analyze the optimal draft tree selection problem. We prove, under basic assumptions, that the expected number of tokens successfully predicted per speculative iteration is bounded as \mathbb{E}[X] ≤ (𝜇 + 𝜇(2))log(B )/𝜇2 + O(1), where B is the verifier’s batch size, 𝜇 is the expected entropy of the verifier’s output distribution, and 𝜇(2) is this entropy’s second moment. This result provides new insights into the limits of parallel token generation, and could guide the design of future speculative decoding systems. Empirical evaluations on Llama models validate our theoretical predictions, confirming the tightness of our bounds in practical settings.},
  author       = {Pankratov, Sergei and Alistarh, Dan-Adrian},
  booktitle    = {Proceedings of the 19th Conference of the European Chapter of the Association for Computational Linguistics},
  location     = {Rabat, Morocco},
  pages        = {6404–6418},
  publisher    = {Association for Computational Linguistics},
  title        = {{Speculative decoding speed-of-light: Optimal lower bounds via branching random walks}},
  doi          = {10.18653/v1/2026.eacl-long.301},
  year         = {2026},
}

@article{22305,
  abstract     = {Active dendrites enrich the repertoire of single-neuron computations. Whereas a lot is known about the function of dendrites in vitro, information about their in vivo properties is limited. A new study1 uses advanced imaging to study hippocampal CA1 pyramidal neuron dendrites in head-fixed, awake animals.},
  author       = {Bhattacharya, Subhodeep and Jonas, Peter M},
  issn         = {0896-6273},
  journal      = {Neuron},
  number       = {10},
  pages        = {1706--1708},
  publisher    = {Elsevier},
  title        = {{Mission impossible? Quantitative analysis of dendritic computations in vivo}},
  doi          = {10.1016/j.neuron.2026.04.002},
  volume       = {114},
  year         = {2026},
}

@unpublished{22276,
  abstract     = {Tissue tension is a key determinant of tissue shape, and its regulation is essential for both morphogenesis and the maintenance of tissue integrity. During zebrafish embryogenesis, the enveloping layer (EVL) – an epithelial monolayer covering the blastoderm – undergoes extensive spreading that is driven by pulling forces exerted at its margin and more than doubles its surface area. Yet whether and how the EVL actively regulates its tissue tension during this process remains unclear. Here, we show that the EVL maintains constant tissue tension while spreading, and that it achieves this by reducing apical cell contractility in response to the same pulling forces that drive its spreading. We identify a mechanosensitive pathway underlying this response, mediated by the scaffold/adaptor protein Kibra regulating the activity of atypical protein kinase C (aPKC) at the apical domain of EVL cells. Under low mechanical stretch, Kibra forms condensates at the base of actin-based apical projections, where it activates Myosin II to increase apical contractility through aPKC downregulation. As mechanical stretch increases, apical projections disassemble, Kibra condensates dissolve, and aPKC activity rises. Elevated aPKC activity in turn reduces apical contractility by reducing Myosin II activity, thereby maintaining constant tissue tension despite increased mechanical stretch. Together, these findings reveal a mechanosensitive mechanism that enables robust adaptation of tissue tension to changing mechanical stretch, ensuring efficient tissue spreading and morphogenesis.},
  author       = {Hino, Naoya and Kapoor, Tushna and Gubbala, Uday R and Hannezo, Edouard B and Heisenberg, Carl-Philipp J},
  keywords     = {Epithelial spreading, tissue tension, mechanosensation, aPKC, Kibra, zebrafish},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Apical domain mechanosensation regulates tissue tension homeostasis}},
  year         = {2026},
}

@misc{21864,
  author       = {Anonymous, 1 and Anonymous, 2 and Anonymous, 3},
  issn         = {2664-1690},
  pages        = {32},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Mechanism of tissue tension homeostasis during embryogenesis}},
  year         = {2026},
}

@article{22308,
  abstract     = {This article is a collection of contributions from speakers at the 2025 DEAMN workshop at the Majorana Centre in Erice. Not ordinary contributions to a conference proceeding, this gives a new and different perspective on the work done by the workshop participants.},
  author       = {Hansen, Klavs and Kresin, Vitaly and Al Hyder, Ragheed and Lemeshko, Mikhail and Fárník, Michal and Fedor, Juraj and Ferrari, Piero and Worutowicz, Laura X. and Louwerse, Rick J. and Kiawi, Denis and Waters, Laurens B. F. M. and Lang, Sandra M. and Bakker, Joost M. and von Issendorff, Bernd and Kong, Wei and Mehmel, Jannik and Schäfer, Rolf and Pedalino, Sebastian and Ramírez-Galindo, Bruno E. and Ferstl, Richard and Sindelar, Severin and Gerlich, Stefan and Arndt, Markus and Sayres, Scott G. and Wang, Lai-Sheng},
  issn         = {1434-6079},
  journal      = {The European Physical Journal D},
  number       = {5},
  publisher    = {Springer Nature},
  title        = {{Reflections on future problems in cluster science}},
  doi          = {10.1140/epjd/s10053-026-01126-x},
  volume       = {80},
  year         = {2026},
}

@article{22167,
  abstract     = {Given a vertex-ordered graph G, the ordered Ramsey number
r<(G) is the minimum integer N such that every 2-coloring of the edges of
the complete ordered graph KN contains a monochromatic ordered copy of G.
Motivated by a similar question posed by Erd˝os and Graham [On partition
theorems for finite graphs, Infinite and finite sets (Colloq., Keszthely, 1973),
North-Holland, Amsterdam-London, pp. 515–527] in the unordered setting,
we study the problem of bounding the ordered Ramsey number of any ordered graph G with m edges and no isolated vertices. We prove that r<(G) ≤
e109√m(log log m)3/2
for any such G, which is tight up to the (log log m)3/2
factor in the exponent. As a corollary, we obtain the corresponding bound for
the oriented Ramsey number of a directed graph with m edges.},
  author       = {Bradač, Domagoj and Morawski, Patryk and Sudakov, Benny and Wigderson, Yuval},
  issn         = {1088-6826},
  journal      = {Proceedings of the American Mathematical Society},
  number       = {3},
  pages        = {927--942},
  publisher    = {American Mathematical Society},
  title        = {{Ordered Ramsey numbers of graphs with 𝑚 edges}},
  doi          = {10.1090/proc/17442},
  volume       = {154},
  year         = {2026},
}

@article{22183,
  abstract     = {A partition of a (hyper)graph is ε-homogeneous if the edge densities between almost all clusters are
either at most ε or at least 1 − ε. Suppose a 3-graph has the property that the link of every vertex has
an ε-homogeneous partition of size poly(1/ε). Does this guarantee that the 3-graph also has a small
homogeneous partition? Terry and Wolf proved that such a 3-graph has an ε-homogeneous partition
of size given by a wowzer-type function. Terry recently improved this to a double exponential bound,
and conjectured that this bound is tight. Our first result in this paper disproves this conjecture by
giving an improved (single) exponential bound, which is best possible. We further obtain an analogous
result for k-graphs of all uniformities k  3. The above problem is part of a much broader programme,
which seeks to understand the conditions under which a (hyper)graph has small ε-regular partitions.
While this problem is fairly well understood for graphs, the situation is (as always) much more
involved already for 3-graphs. For example, it is natural to ask if one can strengthen our first result
by only requiring each link to have ε-regular partitions of size poly(1/ε). Our second result shows that
surprisingly the answer is “no”, namely, a 3-graph might only have regular partitions of tower-type size,
even though the link of every vertex has an ε-regular partition of polynomial size.},
  author       = {Gishboliner, Lior and Shapira, Asaf and Wigderson, Yuval},
  issn         = {1687-0247},
  journal      = {International Mathematics Research Notices},
  number       = {4},
  publisher    = {Oxford University Press},
  title        = {{Is it easy to regularize a hypergraph with easy links?}},
  doi          = {10.1093/imrn/rnag018},
  volume       = {2026},
  year         = {2026},
}

@article{22184,
  abstract     = {Ramsey's theorem states that if N
 is sufficiently large, then no matter how one colors the edges among N
 vertices with two colors, there are always k
 vertices spanning edges in only one color. Given this theorem, it is natural to ask "how large is sufficiently large?" Ramsey's original proof showed that N=k!
 is sufficient, and five years later Erdős and Szekeres improved this bound to N=4^k
. And then progress stalled for almost 90 years.

In this survey, I present the history of the problem, and discuss some of the ideas used in the recent breakthrough of Campos–Griffiths–Morris–Sahasrabudhe, who proved that N=3.993^k
 is sufficient. In addition, I discuss the subsequent work of Balister, Bollobás, Campos, Griffiths, Hurley, Morris, Sahasrabudhe, and Tiba, who gave an alternative, and more conceptual, proof.},
  author       = {Wigderson, Yuval},
  issn         = {0303-1179},
  journal      = {Astérisque},
  pages        = {85--138},
  publisher    = {Societe Mathematique de France},
  title        = {{Exposé Bourbaki 1230 : Upper bounds on diagonal Ramsey numbers (after Campos, Griffiths, Morris, and Sahasrabudhe)}},
  doi          = {10.24033/ast.1255},
  year         = {2026},
}

@article{22218,
  abstract     = {Physiological void spaces exist at every scale of the human body, from organs to molecules, facilitating transport, signal propagation, and localized biochemical activity. Constriction of these spaces (e.g., arterial occlusion, fibrosis) highlights their importance, making their mimicry essential in tissue engineering (TE). This review examines four key strategies for introducing porosity into hydrogels across multiple length scales: templating, microgels, phase separation, and 3D printing. The first three methods enable the engineering of physiological environments at the nano‐ to micro‐scale, mimicking tissue‐ and extracellular matrix (ECM)‐level spaces. Templating involves embedding and removal of gas, liquid, or solid phases, leaving behind pores. Microgel annealing generates inherent interstitial voids. Liquid–liquid phase separation (LLPS) creates biphasic networks reminiscent of native ECM. The fourth approach, extrusion‐ and light‐based 3D printing techniques, enables the fabrication of larger‐scale spaces, such as luminal structures (e.g., vasculature, airways, and ducts). Combining these methods enables the creation of hierarchical architectures from the nano‐ to centimeter scale. The review also highlights Filamented Light (FLight) technology, which creates internal microstructural voids relevant to anisotropic tissues. This review offers insights into current methods and their convergence for generating biomimetic void spaces to meet the physiological demands of cells, tissues, and organs.},
  author       = {Puiggalí‐Jou, Anna and Hui, Isabel B. and Fernández-Rico, Carla and Zenobi‐Wong, Marcy},
  issn         = {1521-4095},
  journal      = {Advanced Materials},
  number       = {7},
  publisher    = {Wiley},
  title        = {{The space within: How architected voids promote tissue formation}},
  doi          = {10.1002/adma.202507385},
  volume       = {38},
  year         = {2026},
}

@article{22215,
  abstract     = {Elastic MicroPhase separation (EMPS) provides a simple route to create soft materials with homogeneous microstructures by leveraging the supersaturation of crosslinked polymer networks with liquids. At low supersaturation, network elasticity stabilizes a uniform mixture, but beyond a critical threshold, metastable microphase-separated domains emerge. While previous theories have focused on describing qualitative features about the size and morphology of these domains, they do not make quantitative predictions about EMPS phase diagrams. In this work, we extend Flory–Huggins theory to quantitatively capture EMPS phase diagrams by incorporating strain-stiffening effects. This model requires no fitting parameters and relies solely on independently measured solubility parameters and large-deformation mechanical responses. Our results confirm that strain-stiffening enables metastable microphase separation within the swelling equilibrium state and reveal why the microstructures can range from discrete droplets to bicontinuous networks. This works highlights the critical role of nonlinear elasticity in controlling phase-separated morphologies in polymer gels.},
  author       = {Fernández-Rico, Carla and Style, Robert W. and Heyden, Stefanie and Wang, Shichen and Olmsted, Peter D. and Dufresne, Eric R.},
  issn         = {1744-6848},
  journal      = {Soft Matter},
  number       = {2},
  pages        = {330--342},
  publisher    = {Royal Society of Chemistry},
  title        = {{Thermodynamics of microphase separation in a swollen, strain-stiffening polymer network}},
  doi          = {10.1039/d5sm00594a},
  volume       = {22},
  year         = {2026},
}

@article{21002,
  abstract     = {The Davenport–Heilbronn method is a version of the circle method that was developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn, J. Lond. Math. Soc. (1) 21 (1946), 185–193). We discuss the main ideas in the paper, together with an account of the development of the subject in the intervening 80 years.},
  author       = {Browning, Timothy D},
  issn         = {1469-7750},
  journal      = {Journal of the London Mathematical Society},
  number       = {1},
  publisher    = {Wiley},
  title        = {{The Davenport–Heilbronn method: 80 years on}},
  doi          = {10.1112/jlms.70371},
  volume       = {113},
  year         = {2026},
}

@article{21385,
  abstract     = {We prove that the average size of a mixed character sum (math. formular) (for a suitable smooth function w) is on the order of √x for all irrational real θ satisfying a weak Diophantine condition, where χ is drawn from the family of Dirichlet characters modulo a large prime r and where x 6 r. In contrast, it was proved by Harper that the average size is o(√x) for rational θ. Certain quadratic Diophantine equations play a key role in the present paper. },
  author       = {Wang, Victor and Xu, Max},
  issn         = {1473-7124},
  journal      = {Proceedings of the Royal Society of Edinburgh: Section A Mathematics},
  pages        = {1--15},
  publisher    = {Cambridge University Press},
  title        = {{Average sizes of mixed character sums}},
  doi          = {10.1017/prm.2026.10123},
  year         = {2026},
}