• Reconstructing the Great Miami Hurricane of 1926 Landfall Timing and Impact
  September 20, 2026
  The Great Miami Hurricane of 1926 made landfall just south of downtown Miami. A storm warning for the Miami area was issued only a few hours before landfall, limiting preparation time for residents.
• Human Activities Drive Coastal Nitrogen Pollution in a Quarter of Global Waterways
  September 20, 2026
  Human activities contribute more harmful nitrogen to a quarter of the planet's coastal waterways than natural sources combined, primarily through agricultural runoff and wastewater discharges.
• WMO Report: Global Water Cycle Imbalance Leads to Extreme Droughts and Floods
  September 20, 2026
  The World Meteorological Organization's (WMO) report, "State of Global Water Resources 2025," indicates an increasingly unbalanced global water cycle. This imbalance is characterized by the occurrence of extreme droughts and floods.
• Drug Molecule Induces Conformational Change for Binding to Target Protein
  September 19, 2026
  A University at Buffalo-led study observed a newly developed drug molecule altering the shape of its target protein to facilitate binding. This mechanism allows a non-complementary molecule to effectively engage its binding site, as detailed in *Angewandte Chemie International Edition*.
• Interfacial Water Structure and Reactivity in Photocatalytic Hydrogen Evolution at TiO₂ Interfaces
  September 19, 2026
  Photocatalytic hydrogen evolution at titanium dioxide (TiO₂) interfaces is a sustainable solar-to-chemical energy conversion method. This process is influenced by interfacial water structure and reactivity, areas where systematic experimental studies have been limited.
• Magnetic Systems for Power Efficiency in Quantum Computing Applications
  September 19, 2026
  Research by Xufeng Zhang explores small-scale magnetic systems designed to enhance power efficiency in computing. These developed systems focus on utilizing magnets for more efficient computational operations, particularly in quantum-level applications.
• Study Investigates Topology Imprinting in Nonlinear Metasurfaces for Photonics
  September 19, 2026
  The research focuses on topology imprinting in nonlinear metasurfaces. This work builds on the understanding that light can be shaped into complex spatial patterns, termed structured light.
• KICT Applies Rainfall Detection for Han River Urban Flood Forecasting
  September 19, 2026
  The Korea Institute of Civil Engineering and Building Technology (KICT) is applying its early detection technology for quasi-stationary linear rainbands and sudden localized torrential rainfall. This technology will be integrated into the Urban Flood Forecasting Platform operated by the Han River Flood Control Office in Korea to enhance urban flood forecasting capabilities.
• Climate Change Increases Extreme Rainfall Risks to China's Farming, Creates Uneven Impacts
  September 19, 2026
  New research indicates that climate change is escalating the likelihood and intensity of extreme rainfall events, thereby increasing the risk of flooding, disruption, and damage to agricultural land in China. This risk is distributed unevenly across the country's farming regions.
• Climate Change Increases Extreme Rainfall, Uneven Risks to China's Agriculture
  September 19, 2026
  New research indicates that climate change is escalating the likelihood and intensity of extreme rainfall. This phenomenon places China's agricultural land at an increasing risk of flooding, disruption, and damage, according to findings led by Dr. Haoyu Hu.
• Hessian Defect, Compatibility Degree, and Canonical Decomposition Analysis
  September 19, 2026
  This research expresses the difference between dimension and denominator vectors as the rank defect of a Hessian differential. It establishes conditions for this defect to vanish and describes properties of associated Hessian vectors, including their role in ordered denominator compatibility and canonical multiplicity computation.
• Finite-Index Extensions of Essentially Free Countable Borel Equivalence Relations
  September 18, 2026
  Research has demonstrated that finite-index extensions of essentially free countable Borel equivalence relations are themselves essentially free. This finding provides a direct answer to a previously posed question by Kechris.
• Proof of the Uniform Mordell-Lang Conjecture for Semiabelian Varieties
  September 18, 2026
  This research announces the proof of the uniform Mordell-Lang conjecture for semiabelian varieties. The work addresses a significant problem within the field of arithmetic geometry, specifically concerning number theory and algebraic geometry.
• Resource-Coupled Model Analyzes Crew Health Dynamics in Early Transoceanic Voyages
  September 18, 2026
  A minimal compartmental model analyzed the dynamics of crew health and resource depletion during early transoceanic voyages. The model identified generic mechanisms linking provisioning, health deterioration, and mortality, demonstrating that resource limitations significantly reduce the healthy and operational crew fraction even with high overall survival.
• American Public Perception: Climate Change Link to Heat and Respiratory Illnesses
  September 18, 2026
  A survey by the Annenberg Public Policy Center indicates nearly two-thirds of Americans believe climate change increases the risk of respiratory diseases and illnesses related to heat and insects. This perception emerges following a summer identified as the hottest on record.
• Signal-to-Noise Ratio Inference in Multivariate High-Dimensional Linear Models
  September 18, 2026
  This research investigates inference for the fraction of total response variation explained by multivariate high-dimensional linear models, employing two moment equations for explicit estimates. The study establishes asymptotically valid confidence intervals for fixed- and random-effects models, with response dimension growing with sample size.
• Radio-Frequency Convolutional Neural Networks for Edge AI Inference
  September 18, 2026
  RF-CNNs repurpose existing radio-frequency mixers to perform multi-channel convolutions in the frequency domain. This approach enables deep CNN inference on edge devices, achieving performance close to full-precision. The method demonstrated energy efficiency down to 0.72 fJ per multiply-accumulate.
• On-Water Surface Catalysis: Hydrogen Bonding, Charge-Transfer, and Electronic Activation
  September 18, 2026
  Research suggests that on-water catalysis involves hydrogen bonding and proton transfer enhancing charge-transfer stabilization between organic reactants. Simulations indicate hydration-enhanced charge-transfer stabilization by approximately 30% and propose a hydration-induced charge-transfer response metric as a testable hypothesis.
• Roll Waves Emerge as Uniform Water Flow Destabilizes on Steep Slopes, Equations Show
  September 18, 2026
  Mathematical equations indicate that roll waves form when uniform water flow destabilizes on steep slopes. These traveling waves, characterized by abrupt discontinuities, propagate without deforming and are relevant for hydraulic engineering applications.
• Complexity of Undirected Partizan Edge Geography Game Determined as PSPACE-Complete
  September 17, 2026
  Research determined the complexity of Partizan Edge Geography on undirected graphs, showing it is PSPACE-complete for bipartite undirected graphs of maximum degree 3. This finding also applies to a variant where tokens cannot occupy the same vertex.
• Parallel Radical and Screen Distributions on Lightlike Hypersurfaces of Indefinite Statistical Manifolds
  September 17, 2026
  This study establishes necessary and sufficient conditions for parallel radical and screen distributions on lightlike hypersurfaces of indefinite statistical manifolds, expressed via screen shape operators, local screen fundamental forms, mean induced connection, and the tangential difference tensor. It characterizes the screen projection and block decomposition of the tangential difference tensor when both distributions are parallel.
• Finite-Horizon Approximation in Energy Storage Scheduling Optimization
  September 17, 2026
  Research introduces an easy-to-check condition to confirm if a planning horizon functions as a forecast horizon for energy storage scheduling, allowing evaluation of planning horizon sufficiency. It also provides a method to derive a lower bound for the minimum forecast horizon and an algorithm to determine this horizon.
• $\Omega$-Results for Logarithmic Derivative of Riemann Zeta Function on Progressions
  September 17, 2026
  This paper establishes $\Omega$-results for the logarithmic derivative of the Riemann zeta function on vertical homogeneous progressions. The findings indicate that the discrete case's order of magnitude is similar to the continuous case.
• Multi-solitons for Logarithmic Schrödinger Equation with $L^2$-Subcritical Function Nonlinearity
  September 17, 2026
  This study constructs multi-soliton solutions for a nonlinear Schrödinger equation incorporating both a focusing logarithmic term and a smooth $L^2$-subcritical function nonlinearity. These solutions exhibit asymptotic behavior as a superposition of distinct velocity solitons for large times. The methodology involves an iterative construction combined with localized energy estimates.
• Construction of Generalized $p$-ary $\mathcal{PS}$ Bent Functions Using Partial Spreads
  September 17, 2026
  Researchers constructed two classes of bent functions from $\mathbb{F}_p^{2n}$ to $\mathbb{F}_p$ by employing $m$-dimensional partial spreads of $\mathbb{F}_p^{2n}$. This construction generalizes previously proposed $p$-ary $\mathcal{PS}^{-}$ and $\mathcal{PS}^{+}$ bent functions.
• Proof that specific set classes, including disks and triangles, lack Riesz bases of exponentials
  September 17, 2026
  Researchers proved that sets belonging to a defined class do not admit Riesz bases of exponentials. This class specifically encompasses geometric shapes such as disks and triangles located in the plane.
• Completeness of Fortification-Interdiction Games in the Polynomial Hierarchy
  September 17, 2026
  This research clarifies the completeness status of several fortification-interdiction problems, proving their completeness for either the $\Sigma^p_2$ or $\Sigma^p_3$ class of the polynomial hierarchy. It also demonstrates that the Multi-level Fortification-Interdiction Knapsack Problem can be complete for any level of this hierarchy.
• Weighted Uniform Distribution of Subpolynomial Functions Along Primes Investigated
  September 16, 2026
  This research establishes necessary and sufficient conditions for the weighted uniform distribution of sequences involving subpolynomial functions, specifically $(u(n))_{n\in\mathbb{N}}$ and $(u(p_n))_{n\in\mathbb{N}}$, where $p_n$ is the $n$-th prime. The work extends a previous main result to a weighted context, leading to new applications in various mathematical fields.
• Exact Ionization Amplitudes for a Delta-Function Well in Arbitrary-Strength DC Electric Fields
  September 16, 2026
  Researchers investigated finite-time, field-induced ionization from a one-dimensional attractive delta-function well in a uniform DC electric field of arbitrary strength. The study determined exact bound-state survival amplitudes at any observation time without constructing the full time-dependent propagator or wavefunction, yielding a nonperturbative solution for a fundamental ionization model.
• Finite-Time Blow-Up in IPM Equation with Uniformly Spacetime Smooth Forcing on $\mathbb T^2$
  September 16, 2026
  This research demonstrates finite-time blow-up for the IPM equation on $\mathbb T^2$ under a uniformly spacetime smooth force. The study establishes the existence of specific initial conditions and forces leading to divergence in the density and spatial velocity gradients. Despite this divergence, the density itself exhibits convergence in $C^\eta$ for $0\leq\eta < 1$.
• Finite-Energy Positive Solutions to Yamabe-Type Equation on 15D Octonionic Heisenberg Group
  September 16, 2026
  Researchers classified finite-energy positive solutions for the Yamabe-type equation on the 15-dimensional octonionic Heisenberg group. This classification explicitly describes extremals for the Folland-Stein-Sobolev inequality on this group, confirming a prior conjecture by Garofalo and Vassilev.
• Endpoint Exception to Conjectured Equality for Laplacian Eigenvalue Products
  September 16, 2026
  This research identifies eight-vertex counterexamples to the equality characterization within Conjecture 20 of Chen, Guo, Li, and Wang. These counterexamples occur at the specific endpoint $k=3n/4$ and extend into infinite families, including cases where both the graph and its complement are connected.
• Second-Order Rayleigh-Schrödinger Perturbation Theory for Grasp2018: Valence-Valence Correlations
  September 16, 2026
  This work introduces an extension of the second-order perturbation theory method within the Grasp2018 package to include valence-valence electron correlations. This development aims to identify significant Configuration State Functions (CSFs) that influence various correlation types, facilitating a reduction in CSF expansion size. The method can be applied to calculate energy spectra and other properties for atoms or ions with any number of valence electrons, with an example application shown for Se III ion.
• Directionally Fine Families of Cones: Construction Principles, Approximation, and Separation
  September 16, 2026
  This research introduces directionally fine families of cones, a local geometric property enabling arbitrary narrow cone selection in normed spaces. It functions as a mechanism for finite separation of directionally compact sets from closed cones and for finite outer approximations of locally compact cones. Two distinct realizations are explored: Bishop–Phelps cones and a new principle called transversal coercivity.
• Filippov Stability Theorem for Volterra Sweeping Processes with One-Sided Lipschitz Perturbation
  September 16, 2026
  Research establishes a Filippov-type stability theorem for integro-differential Volterra sweeping processes in a separable Hilbert space. The theorem provides an explicit estimation of the distance between perturbed and original solution trajectories, showing sharper results when only outer perturbation is present. This framework was applied to a spatially distributed fishery model with ecological memory.
• Robots and AI Identify Unexpected Pathway in 135-Year-Old Chemical Reaction
  September 15, 2026
  Robots and AI have revealed an unexpected pathway within a classic chemical reaction, known for 135 years. This discovery indicates that initial materials can follow multiple reaction routes based on factors like concentrations, temperature, and catalysts.
• Investigating Stratified Cohomology and Group Cohomology of Curves
  September 15, 2026
  This work investigates the relationship between stratified cohomology and group cohomology of the stratified fundamental group of a smooth projective curve over a perfect field of positive characteristic. The research explores this mathematical connection within a specific algebraic geometric context.
• Characterizing $\mathfrak{k}$-Highest Weight and $\widehat{\mathfrak{g}}$-Dominant Tableaux for $n\le 4$
  September 15, 2026
  This research extends the explicit characterization of $\mathfrak{k}$-highest weight tableaux for lower shape lengths when $n=3$ or $n=4$. It also explicitly characterizes $\widehat{\mathfrak{g}}$-dominant tableaux for these $n$ values using promotion operators. The study further establishes bijections between these tableaux and lattice points in flagged hive polytopes.
• Graph Polynomial for Colored Embedded Graphs: A Topological Approach
  September 15, 2026
  This research introduces a polynomial associated with finite graphs embedded in oriented surfaces, developed using algebraic topological tools. A variant of these polynomials is analyzed for colored embedded graphs to describe changes under basic graph-theoretic operations. Applications include detecting specific graph classes and demonstrating a connection with topological entanglement entropy.
• Nonlinear Size-Structured Fishery Model for Externally Recruited Stocks under Size-Selective Harvesting
  September 15, 2026
  A nonlinear size-structured fishery model was proposed for externally recruited stocks, incorporating nonlocal crowding and size-selective harvesting. This model derived a stationary size profile and a scalar closure equation for the no-harvest baseline, proving existence and uniqueness. It also identified an intrinsic replacement index as a viability diagnostic in this context.
• Nonexistence Conditions for Tail Invariant Probability Measures on Generalized Bratteli Diagrams
  September 15, 2026
  This paper investigates conditions under which the tail equivalence relation on the path space of a generalized Bratteli diagram does not admit a tail invariant probability measure. It provides several sufficient conditions based on incidence matrices. A new spectral method is also discussed, which answered a previously open problem.
• Andean Volcanic Sheet Preserves 22-Million-Year-Old Landscape Clues
  September 15, 2026
  A volcanic rock sheet in the Andes has preserved evidence of a buried landscape from 22 million years ago. This discovery was made by a new study led by UCL researchers.
• AI Discovers Interpretable Constitutive Laws from Solid-Mechanics Data
  September 15, 2026
  Researchers at the Eastern Institute of Technology (EIT), Ningbo, developed a graph-based AI approach to directly extract concise, accurate, and interpretable constitutive equations from solid-material experimental data. This method demonstrated superior predictive accuracy compared to mainstream empirical models for alloy steels, lithium metal, and filled rubbers.
• PyFLI: A Unified Python Framework for Fluorescence Lifetime Imaging Data Processing and Simulation
  September 14, 2026
  PyFLI is presented as an open-source Python framework designed for fluorescence lifetime imaging (FLI) data processing, standardized simulation, and parameter estimation. It supports various acquisition systems and offers multiple estimation methods, enabling image-scale analysis and cross-software comparison.
• ADMM and Linearized ADMM for Weakly Convex Minimization
  September 14, 2026
  Researchers studied weakly convex optimization problems, developing ADMM and LADMM splitting techniques. These methods decouple problem components and enable efficient solutions for specific objective function structures. Subsequence convergence to directional stationary solutions was established for both ADMM and LADMM.
• Investigation into the Distribution of Zeros of the Euler Eta Function and its Derivatives
  September 14, 2026
  This research investigates the distribution of the zeros of Euler's eta function. It also examines the zeros of its integral and fractional derivatives.
• Projective Kernels and Replicability in Modular Function Theory
  September 14, 2026
  A projective-kernel framework was introduced for replicable functions in modular function theory, encoding differential projective geometry and Faber-Grunsky data. This framework translates between Schwarzian invariants, coefficient identities, and modular correspondences. The kernel also provides a reconstruction theorem and, when Norton's replicability relations are applied, imposes arithmetic restrictions on cusp data.
• Common Fixed Points of Co-Cyclic and Sub-Cyclic Mappings in Complete Metric Spaces
  September 14, 2026
  Researchers introduced co-cyclic and sub-cyclic mappings, establishing unique common fixed point theorems for these new cyclic-type mappings in complete metric spaces. This was achieved under specific Jungck-type contractive conditions and compatibility assumptions.
• Future Catastrophic Weather: Historical Records Underestimate Severity
  September 14, 2026
  Scientists at King's College London indicate that historical records of severe storms and heat waves may inadequately predict the potential scale and impact of future weather disasters.
• Conceptual Superfluid Qubit Design Addresses Quantum Computing Scaling Challenges
  September 14, 2026
  Researchers have introduced a conceptual design for a superfluid helium-based qubit. This design aims to offer enhanced error robustness, potentially addressing a significant challenge in scaling up quantum computers.