Research field
Mathematics, probability, statistics, data science, and modeling.
A preprint describes an AI system that combines B-cell repertoire data with experimental feedback to identify broadly neutralizing antibody candidates against several viruses, but the evidence remains preclinical.
Scientific publication5 min read
A case-based video framework reproduced broad movement trajectories in several tasks, but uneven errors and missing reference intervals exposed limits in detailed reconstruction.
Scientific publication5 min read
The proposed AL-LPAL method combines central concentration with very heavy tails and showed robustness in contaminated tests, while interval coverage remained imperfect.
Scientific publication5 min read
A preprint reports that PGA-Trans-HAR led average error rankings for eight equity indices at medium and long forecast leads, while also ranking best on mean absolute error at the daily lead. The advantage varied by market and horizon.
Scientific publication4 min read
An arXiv preprint proves coefficient-by-coefficient blowup identities for local Hirzebruch geometries, then extends the framework conditionally to local P2.
Scientific publication3 min read
A mathematical preprint reports exactly 28 quasi-Galois points on the Fermat quartic, including four Galois points and 24 points that are not Galois. It also gives an algebraic test and a K3-surface correspondence for studying such points on smooth quartic surfaces.
Scientific publication3 min read
A preprint describes an artificial-compressibility solver for global ocean models. It reports close agreement with a projection reference in idealized wave, convection and mixing tests, but its runtime figure is a scale estimate rather than a wall-clock measurement.
Scientific publication3 min read
A mathematical preprint derives conditional lower bounds for quantum ground-state decay, while finding that a direct full-model approach cannot stay uniform as time grows.
Scientific publication4 min read
A mathematical preprint proves that a disjoint-clique construction gives the exact maximum number of large cliques in broad families of graphs that avoid a fixed tree. The result moves the reported general threshold to logarithmic order but leaves small clique sizes, especially triangles, open.
Scientific publication5 min read
A verified interval-arithmetic pipeline produced a two-sided whole-space energy enclosure for H₂⁺ and tested the same machinery on three-centre systems.
Scientific publication4 min read
The timing comparison showed large online speedups for a neural-network shortcut in lower-contrast tests, but high-contrast cases showed large global errors.
Scientific publication4 min read
An arXiv preprint derives exact local Fourier-Jacobi formulas for Sp4 and proposes a global norm identity whose consequences depend on the refined GGP conjecture and, for bounds, GRH.
Scientific publication4 min read
A mathematical preprint proposes a Fourier-based proof for real-frequency mode stability in subextremal Kerr, using dual solutions and a boundary calculation to show that the specified quasinormal modes are the zero solution.
Scientific publication4 min read
A mathematical preprint reports that every actual reduced polar hyperplane of a plane-curve topological zeta function lies in the multivariable Bernstein-Sato zero locus. It also finds matching non-equivariant motivic and topological pole data in that setting, while higher-dimensional examples show the pattern has limits.
Scientific publication3 min read
The proposed corrections lowered simulation error, while an observational schooling application produced estimates that shifted with the controls used.
Scientific publication4 min read
A formal study reports exact agreement among three canonical-basis partitions, then connects Richardson subsets to Demazure modules and weights to Bruhat interval polytopes.
Scientific publication3 min read
The work gives an infinite-matrix system a geometric reading and extends it into a two-component KP framework, with formal links to AKNS and ASDYM.
Scientific publication3 min read
A theoretical mathematics preprint proves that Ramond boundary points occur in even numbers and develops finite measures and recursive volume functions for spin moduli spaces.
Scientific publication4 min read
A theoretical preprint identifies the coordinates that stay positive across all optima and shows how bottleneck depth, duality and computational complexity shape the result.
Scientific publication4 min read
A mathematical preprint constructs special small initial data for a quasilinear Schrödinger equation whose high-regularity Sobolev norm later becomes arbitrarily large. The result is an existence proof for selected data, not a claim about typical solutions.
Scientific publication4 min read
A mathematical preprint adapts a refined Schreyer workflow to exterior-algebra resolutions, states that its lifting procedures terminate and that the resulting algorithm returns the required syzygy basis, and illustrates a BGG cohomology route. A proposed parallel formulation remains untested for speed and scale.
Scientific publication3 min read
A new arXiv preprint reports that the rescaled D4 root lattice uniquely minimizes the theta and Epstein zeta functions across the full class of normalized four-dimensional lattices, with equality only for orthogonal copies of D4.
Scientific publication3 min read
A proposed finite-element method for nonlinear poroelasticity matched predicted behavior in several tests, but its guarantees depend on assumptions and one low-permeability pressure result was slightly suboptimal.
Scientific publication4 min read
A theoretical preprint maps the spectral conditions behind β0(H), identifies the largest class that survives every compact perturbation, and proves that β(H) is dense in the full bounded-operator algebra.
Scientific publication4 min read
A methods study reports that standard error estimates can become unreliable in small randomized trials with many covariates, even when G-computation is less sensitive to bias in some settings.
Scientific publication4 min read
A theoretical study of neutral renormalization finds that, in its defined family of cascades and towers, combinatorial data can determine geometric structure.
Scientific publication4 min read
A mathematical analysis finds that prey can spread at one model threshold, while predator expansion varies by direction and is limited by the smaller of two modeled speeds.
Scientific publication4 min read
A theoretical preprint establishes a sharp universal lower bound for the magnetic-field norm when a non-trivial Dirac zero mode exists on a sphere, while leaving a related Sobolev constant unresolved.
Scientific publication3 min read
A theoretical preprint gives exact descriptions of several spectra linked to planar fractal measures, while identifying special systems where the usual multifractal relationship fails.
Scientific publication4 min read
A layered controller combining a traffic model, lane-level speed limits and ramp metering performed strongly across simulated safety, efficiency and transfer tests. The results are promising for traffic-control modeling, but they do not show what would happen on a live road.
Scientific publication4 min read
A computational preprint reports 84 improved upper- and lower-bound cases for q-ary covering codes across 83 parameter cells, with exact checks on codes and certificates but several unresolved gaps.
Scientific publication4 min read
An arXiv preprint identifies the order conditions behind derived window convolutions, shows how branching can disrupt their composition, and finds rooted forests where the construction supports an interleaving distance.
Scientific publication4 min read
The paper builds an exact-category model for derived tensor kernels and shows, through constructed examples, why higher-term cases can escape ordinary-ring descriptions.
Scientific publication4 min read
A mathematical preprint reports that the cone's frequency separates two regimes: global solutions are ruled out at or above it and form an ordered family below it.
Scientific publication3 min read
A theoretical number theory study finds that integers meeting several inequalities built from Euler's totient, Dedekind's and sum-of-divisors functions form a vanishing share of all integers.
Scientific publication4 min read
A mathematical preprint explains how certain random valuations can be represented through Lévy measures, geometric jumps and stable components, while warning that its isotropic result is only weakly equivalent.
Scientific publication4 min read
A theoretical study builds regular graph families that satisfy expansion conditions yet have no cycle covering more than a small fraction of all vertices. The constructions do not settle the same question for robust expanders.
Scientific publication4 min read
A mathematics preprint maps a repetition-based exponent for infinite words, finding every value from 1 to infinity over three symbols and a probability-one value of 1 under Bernoulli measure.
Scientific publication3 min read
The paper builds arithmetic de Rham and Hyodo-Kato stacks, then proves categorical links to rigid cohomology, isocrystals, D-modules and related arithmetic operations under stated assumptions.
Scientific publication4 min read
A mathematical preprint classifies covariance denominators that can support exact Gaussian ratio laws and shows why other formulas lose stability or interval precision near weak identification.
Scientific publication5 min read