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  • arXiv math.AGの新着論文18本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-15/

    Strictly Semistable Quasimaps on the WallSemistable reduction of smooth quarticsAKSZ Construction for Shifted Contact StructuresExplicit local stable resolution of cuspsNonsimplicial toric Nullstellensatz and stacky GKZ theoryExplicit Homology Representation for Finite Groups Acting on Riemann SurfacesAdelic line bundles over a N\'eron modelLang-Vojta conjecture over function fields for very general log projective spacesArtin-Schreier Root Stacks and lifts of group actionsAutomorphism groups of non-normal affine toric surfacesFano manifolds with complete intersection type VMRTInvariant polynomials and Mukai's models of moduli spaces of curves and K3 surfacesDuality for t- modules: The Difficult CasesA note on o-minimal tropicalizationsSorries Are Not the Hard Part: An Expert-Review Case Study of a Semi-Autonomous FormalizationNodal degeneration of chiral algebras II: Local structure and chiral Zhu algebrasHigher syzygy bundles and the Eisenbud-Huneke-Ulrich conjectureQuasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties
  • arXiv math.AGの新着論文10本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-12/

    Functorial stratifications of singularities in characteristic 0Algebraic cobordism rings of wonderful varieties and matroidsFence Complexes and Toric Degenerations of Positroid VarietiesValuative criteria for adic spacesFamilies of smooth Fano fourfolds of Picard rank 1 without Bott vanishingScaffolds for Higher Tropical Grassmannians: FoundationsNoncrossing Duality and the Geometry of Positive Tropical Linear SpacesSplitting of Polynomial Families via Galois TheoryExistence of pseudo-holomorphic disks via non-archimedean disk potentialsA $q$-analogue of the rational normal curve and linearized Reed-Solomon codes
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  • arXiv math.AGの新着論文14本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-11/

    Answer to a decomposition question on tori raised by Colliot-Th\'el\`ene and SansucStratification of moduli spaces of instantons on the Segre product of three lines via 't Hooft bundlesNon-symplectic Indices of Automorphism Groups of Smooth Cubic FourfoldsBrauer groups of smooth loci in linear systems and torsors over Jacobians of plane curvesDegree of tensor train varieties via integral geometryAlgebraic Varieties and Ideal Theory in Combinatorial Click-Reaction DesignKuznetsov components and transcendental motives of cubic fourfoldsModuli of Supersingular Abelian Varieties in Dimensions $g\leq 5$Regularity is bounded on a quasi-excellent Noetherian schemeThe p-adic Cauchy Theorem and Overconvergent Period SheavesOn the metalinear algebraic cobordism spectrumModular variants of p-adic fundamental sequenceOn Perfectoidizaiton of Finite Algebras over a Perfectoid RingPoisson three-folds constructed from co-Higgs bundles on Hopf surfaces
  • arXiv math.AGの新着論文21本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-10/

    Derived Geometric Methods in Supergeometry: Transmutations and their CohomologyInd-Banach approach to Grothendieck duality in Rigid-analytic geometryLarge automorphism groups compared to the $p$-rank of algebraic curves in characteristic $p$The crystalline cohomology of covers with a cyclic $p$-Sylow subgroupGalois self-covers of projective spaces and essential dimensionsOn superspecial hyperelliptic curves of Rosenhain formsThe convergent stackThe minimum genus of Galois covers of curvesTopology and Euler characteristics of tropical varietiesPCMI lecture notes: Motivic explorations in enumerative geometryCoble type hypersurfaces and hyperk\"ahler fourfoldsLinearizability notions in equivariant birational geometryOn the rank of hypergeometric sheaves on higher dimensional toriA correlated refinement of the double double ramification cycleEquivariant Contact Darboux Quotients and Perversely Categorified Legendrian CorrespondencesA generic categorical local Langlands correspondence for quasi-split reductive groupsKernel theorems for rigidly-compactly generated $\infty$-categoriesHilbert irreducibility for algebraic pointsEisenstein-Kronecker classes on Hilbert moduli spaces and a new construction of Katz's $p$-adic measureThere are matroid toric ideals without quadratic Gr\"obner basesA symmetric determinantal lower bound for diagonal power sums via polar degree
  • arXiv math.AGの新着論文28本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-09/

    On the Vinberg Family of K3 SurfacesB-model Categorical Enumerative Invariants and holomorphic anomaly equationsTangential morphisms via log arithmetic geometryDistance, Normals and Double Normals for Real Plane Curves with SingularritiesDeformation Theory and Torus-Fixed Geometry of the Nested Hilbert Scheme of PointsGeometry of Holomorphic One-forms on Smooth Projective VarietiesK\"ahler thresholdsNewton--Okounkov bodies of partial flag varieties via cluster algebrasProjective subvarieties of Bogomolov-Guan manifolds and quasi-diagonals in products of elliptic curvesAlgebraic Hodge generic points are denseElliptic orbifold lines and integrable hierarchiesOn the minimal model theory for generalized pairs of relative log numerical dimension zeroReal algebraic varieties and their intersection cohomologyEquivariant deformations of isolated singularities and applicationsSeshadri constants and hyperelliptic curves on abelian varietiesBertini theorems for Hilbert-Samuel multiplicity over finite fieldsPhD thesis: Fixed points in Higgs bundle moduli spaces and the Prym--Narasimhan--Ramanan constructionModuli spaces of type II twistsThe relation type of point configurations in the projective planeEffective quasianalytic Remez inequalities on tame setsLinked sheaves of modulesSolution Module and Linear ClosureAn elliptic approach to Reid's fantasyLocally finite sets of derivationsThe measure of maximal entropy for random skew products on compact complex surfacesSemistability and asymptotics of geometric flowsColocalizing subcategories on differentially graded algebrasExplicit and asymptotically good constructions of Algebraic Geometry codes in the sum-rank metric
  • arXiv math.AGの新着論文12本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-08/

    On the Absolute Geometry of $\operatorname{Spec}\mathbf{Z}$Compactified supermoduli space is almost never projectedOrbifold Uniformization of Complex Algebraic Variety by Stable Parabolic Higgs BundleSeshadri constants and Gromov widths of toric varieties associated with generalized permutohedraParabolic second-order tangent sets of semialgebraic sets and applications to polynomial optimizationPolyhedral models for K-theory of toric and flag varietiesOn periods and Jacobians of Heisenberg curvesStructured matrix factorization lengthGamma conjecture II via global Gamma-IExact output statistics of Icart's encoding in the exceptional \(j=0\) caseThe singular cohomology ring of a uniform matroid: combinatorics and Lefschetz propertiesIdeals defining components of two-row Springer fibers
  • arXiv math.AGの新着論文18本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-05/

    A Counterexample to Bhatt-Lurie's Cohomological Dimension ConjectureArithmetic Kashiwara Regularity and Orbit Classification for Filtered Strongly Equivariant $\mathcal{D}^{\dagger}$-ModulesHigher order isomonodromic deformation of Higgs bundles and a characterization of the non-abelian Noether-Lefschetz locusUlrich wildness of some decomposable threefold scrolls over $\mathbb F_a$Non-projective complete log canonical surfacesCoherent sheaves on subvarieties in Hopf manifoldsHiggs bundles on the Fargues-Fontaine curveQuot spaces in tilted hearts and Hall algebra modulesAlgebraicity of exterior Cauchy transforms of algebraic ovals: a homological formulationPerverse filtration on Hilbert schemes via upward flowThe Euclidean algorithm, lotuses and singularitiesKaleidoscopes, Waves and the PrepotentialHodge theory and $G_4$ fluxes in weighted projective spaces: Galois actionBenchmarks in LeipzigFrayed Demazure weaves for Poisson-compatible cluster structures on Bott--Samelson chartsOn the construction of K-contact non-Sasakian Smale-Barden manifoldsArithmetic Wu Formulas and the Generalized Hecke TheoremDecomposition Theorem for Perfectoid Rings along General Ideals
  • arXiv math.AGの新着論文11本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-04/

    Bounds on the F-Pure Threshold of Isolated Hypersurface SingularitiesTransversal unfoldings of derived foliationsA Note on Jacobians with Prescribed FactorsModeling Rozansky-Witten Theory with Sheaves of CategoriesExistence of ACM Bundles on Polarized Abelian VarietyWeak Brill-Noether bundles on nodal Enriques surfacesThe Azumification of ordersOn the First Caustic of Elliptical BilliardsMirror symmetry for the Painlev\'e character varietiesThe leading constant in Malle's conjectureSlices of the special linear algebraic cobordism spectrum
  • arXiv math.AGの新着論文18本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-03/

    On the fibers and semi-algebraicity of ReLU neuromanifoldsCohomology of complex supertoriSyzygies of Isotropic Kalman VarietiesOn $\mathbb J$-strata with Parahoric Stabilizers in Affine Deligne-Lusztig VarietiesBondal's conjecture in dimension fiveImproved unirationality for GL-varietiesModular inequalities and Alexander polynomials of pencil type conic-line arrangementsHK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$Complete Families of Curves in the Moduli Space of Genus g CurvesOn the Schematic and Analytic Constructions of the Local Langlands CategoryOn the gap of quiver representationsOn the geometry of non-collapsed polarized cscK surfacesWeight filtrations via slopesLinearisation problem under finite \'etale coverThe Value Function Semi-Algebraic Set in Partially Observable Markov Decision ProcessesTowards the Relative Langlands Duality for Orthosymplectic PairsAmplituhedra and origami, II: loop levelThe Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory
  • arXiv math.AGの新着論文20本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-02/

    Properties of deformed mass and phase functionsModuli space of genus one curves on quartic and quintic del Pezzo threefoldsOn the category of modules over bands: relative schemes, hyperring schemes and proto-exactnessExtremality of tautological classes of matroids in nef conesOn generalized Weierstrass semigroups in linearized function fieldsAlgebraic Magnetism: $X$-products of attractors via $\mathbb{F}_1$-geometrySpace of prime congruences in tropical geometryA note on SG points for reduced plane curvesLocalizing subcategories for algebraic stacksStable Degeneration, Non-degenerate Forms, and Kaledin's ConjectureVerifying global identifiability of parametric linear ODE models is NP-hardOn the $P(t)$-adic Littlewood conjecture in odd characteristicsThe categorical local Langlands conjectureAdditive Rigidity for Images of Rational Points on Abelian Varieties II: The General CaseLie-Rinehart and Poisson algebras over $C^\infty$-ringConstructing Discontinuous but Locally Bounded Rational Functions using \L ojasiewicz InequalitiesPerverse filtration on the cohomology of affine Springer fibersIntrinsic Subgroups and the $\ell$-adic Galois imageJordan types for pairs of commuting nilpotent matrices: A surveyFinding the complement of an elliptic curve inside a Jacobian
  • arXiv math.AGの新着論文11本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-06-01/

    Equivariant irrationality of very general symmetric Verra fourfoldsQuantum cohomology and birational geometry of Verra fourfoldsMinimal Trivializing Isogenies of $\mathbb{G}_m$-gerbes over Abelian Varieties and Period-Index ProblemCuspidal dicritical foliations and analytical invariants of cuspsThe singular locus of a GL-varietyCylinders in Fano threefolds of genus 9 and 10On the geometry of Certain Non-Basic Affine Deligne-Lusztig VarietiesThe $\mu$-Trace SystemShimura data and corners: cohomologyK-semistability and singularities of normal affine conesThe classification of integral endotrivial complexes
  • arXiv math.AGの新着論文17本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-29/

    Autoequivalences of Derived Categories of Moduli Spaces of Vector BundlesHiggs GrassmanniansReal-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proofHilbert polynomials of the first and second secant varietiesAutoduality of compactified Pryms for \'etale double covers of curves with planar singularitiesRemarks on hypersurfaces in $\mathbf{P}^1\times Z$Superspecial plane quintics with large automorphism groupsLift-independence problem in the $P$-adic Simpson correspondence for curvesThe multiple cover formula for $K3$ and abelian surfacesA solution to the Yau-Tian-Donaldson Conjecture through Special Fujita ApproximationsHodge numbers of moduli of principal bundles on a curveA note on Azumaya algebras and one-formsCohomology of the Moduli Stacks of Real Vector Bundles on Type I Real Algebraic CurvesThe quartic threefold is symplectically irrationalPolynomial contractions of $\mathbb C^d$ and degree growthCanonical extensions of $p$-adic shtukas on toroidal compactifications of Shimura varietiesSemi-Bousfield classes and nonmonotone perversities
  • arXiv math.AGの新着論文21本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-28/

    Completed volumes and the DR-cycleOdd Kn\"orrer periodicity as a double coverContact Invariants for Plane Curves in a PencilStacky geometry and logarithmic topology of transversely affine foliationsIndicial polynomials and $b$-functions of $D$-modules along arbitrary varieties and their computationExamples of infinitely many $(-1)$-curves with higher genus on elliptic surfacesProjective K3 Surfaces with integral Zariski decompositionsSingularity criteria for K-stability of adjoint foliated structuresHolomorphic Lie algebroid connections over rationally connected varietiesBrauer--Manin obstruction from failure of Kodaira vanishing in positive characteristicReflective lattices and hyperkahler manifoldsTwisted homology jump loci, twisted Alexander polynomials, and $\Sigma$-invariantsOn the support of admissible subcategoriesSpinorial Fano manifoldsComplex abelian varieties and quantum error correction: a mathematical framework for GKP codesWeighted Seshadri constants and ellipsoid embeddingsInversion of the Multiplicative Matrix Compound OperatorJordan types commuting with a hook partitionInflection curves of rational vector fieldsLocally recoverable codes from elliptic surfaces with availability and hierarchical localityDisjunctive Sum of Squares
  • arXiv math.AGの新着論文20本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-27/

    $\mathbf{F}$-jumping numbers can be irrationalContracted divisors and Degree-Two MapsVarieties admitting a holomorphic symplectic form: LLV algebras and derived equivalencesRefined index obstructions for Brauer classes on an abelian varietyFoliations, slope stability, and positivity of log canonical bundles on Deligne-Mumford stacksEquivariant Maximal Cohen-Macaulay sheaves on the minimal orbit closuresThe Calculus of Blowups on a Ruled SurfaceRetraction of the complement of smooth projective curves to a $2$-dimensional $\Delta$-complexAbsolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible charactersBlowups, Gale duality, and moduli spacesVanishing of cohomology in infinitely ramified towersA classification of triangular Riemann surfaces with $2p^2$ automorphismsOn modular inequalities for plane projective curvesOn the category of semi-graded modulesAbout top-degree $L^2$- and $L^{2,\mathrm{loc}}$-Dolbeault cohomologies of complex spaces with pseudoconvex boundaryVertex operator algebras, partition functions and Teichm\"{u}ller modular formsRank-two recurrence results for polynomials and questions of dynamical Mordell--Lang typeEkedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varietiesResidual regularity in tensor triangular geometryStructural properties and tilting correspondences of perfectoid towers
  • arXiv math.AGの新着論文31本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-26/

    Geometry of Neighborhoods of Minimal Rational CurvesArakelov inequality for families of pairsThe Stratified and the Strong Maximal Rank Conjecture in $\mathbb{P}^3$ and $\mathbb{P}^4$A Nilpotence Theorem for Rational Rigid 2-Rings of Moderate GrowthTropical cohomology via reductions of tropical varietiesDegree Bounds for Amoeba ContoursTropical Degrees and Stable IntersectionsCanonical Projectivization of Smooth Complete Toric Varieties(Quasi-)affineness of perverse character varietiesModuli of parabolic bundles on an elliptic curveNewton-Okounkov Bodies and Jet Separation: Canonical-Free and Multipoint GeneralizationsAffine models for Noetherian schemesOn the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve $Y^{q+1} = X^n(X^n + 1)$Positivity in classical enumerative geometry: a case study in synchronized AI-assisted mathematicsMultivariate V-filtrations and the Strong Monodromy Conjecture for hyperplane arrangementsThe strong monodromy conjecture for hyperplane arrangementsUniformization as Tannakian ReconstructionLower Bounds on Essential Dimension for Congruence Covers of Mixed Shimura VarietiesSeshadri constants of Higgs Vector bundlesJordan property of birational automorphism groups of surfaces and birational permutationsClassification of objects in the singularity categories of rational double points in arbitrary characteristicsSemiorthogonal decompositions for stacksProxy smallness meets $t$-structuresMovable curve classes and slope stability on Deligne-Mumford stacksThe limits of Schur multipliers in P\'olya conversion problems for the $q$-permanent functionOn exotic rationally integrable planar dual billiards I. Complex geometry and type of dynamicsExplorations of Matroid ComplexesBeyond Algebraic Solutions to Stringy SpacetimeInductive approach to chromatic and characteristic polynomialsHilbert-90 quotient maps, torsion defects, and symmetric monodromyRandom Permutations from Bott-Samelson Varieties
  • arXiv math.AGの新着論文10本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-25/

    Optimal embedding dimension in the Nash--Tognoli theoremInvariants of real affine varieties based on their complexificationsPositivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacksFunctional codes arising from rank $n$ Hermitian varieties and hypersurfaces in low dimensionsTropical Cartan's second main theorem for hyperplanes in general positionCartier algebras through the lens of $p$-familiesWhat is the Geometric Langlands Correspondence about?Multi-valued Morse homotopy for the SYZ mirror of the complex projective planeCommutator-Induced Uncertainty in VAEsLinear spaces of rational integrable 1-forms
  • arXiv math.AGの新着論文25本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-22/

    Non--tautological cycles on Prym moduli spacesK-stability of adjoint foliated structuresAlgebraic and analytic Brauer groups of homogeneous spacesBirational and $\mathbf{A}^1$-invariant lattices in the cohomology of the structure sheaf over non-archimedean fieldsOn a question of Mauri and MoragaOn defective spans of singular vector tuples beyond the boundary formatOn Cox Rings of Calabi-Yau hypersurfacesBeyond descendants: integrable observables for cohomological field theoriesA question on klt type varieties of Han and JiangOn the structure and generic non-Cartesianity of polynomials in product spacesPositivity of Higgs Vector BundlesWhittaker groups and hyperelliptic curvesIshii's conjecture and Bridgeland stability conditions for dihedral reflection groupsDivisibility phenomena in motivic Bloch--Ogus theoryA condensed proof of the pro-\'etale and \'etale exodromy theoremsSymplectic and projective small covers over products of polygonsOn the cohomological classification of vector bundles on smooth real affine surfaces and threefoldsShokurov's global index conjecture for threefold foliationsBoundedness of total Cartier indices for rational singularities in familiesLarge Order Enumerative Geometry, Black Holes and Black RingsLandau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type AConstructions of Rank-Metric Codes of Small Tensor RankBCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristicThe nearby Lagrangian conjecture for pinwheelsA Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems
  • arXiv math.AGの新着論文13本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-21/

    On the Hodge and Tate conjectures for moduli spaces of curvesInfinite transitivity and polynomial vector fieldsOn a question of Koll\'ar and Kov\'acsAn example of a very non-movable effective divisorThe pro-\'etale fundamental group of singular schemesOptimal bend-and-break for foliationsOn the Riemann-Roch formula: old and newA construction of tame sheaves and tame de Rham--Witt cohomologySmooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometrySerre functors and local duality for affine quotientsn-trivial extensions and multi Hasse-Schmidt derivationsImproved bounds on the number of holomorphic maps between compact Riemann surfacesMirror Symmetry of the Affine Toda Systems
  • arXiv math.AGの新着論文22本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-20/

    Outer Type Severi-Brauer SchemesRemarks on basepoint-freeness thresholds of polarized abelian surfacesWeak and strong Lefschetz properties for Hartshorne-Rao modules of curves in $\mathbb P^3$Deformations of morphisms of coherent sheavesBogomolov Decomposition and Compact K{\"a}hler Manifolds of Algebraic Dimension ZeroHigher singularities for hypersurfacesA recursion for the volume of the moduli space of hyperbolic spheresRandom products of birational maps: Equidistribution of preimages of curvesManin's conjecture for semi-integral curves and $\mathbb A^1$-connectednessA lifting partition theorem for tropical tritangent classes to smooth space sextic curvesEnumerative Geometry on KSBA moduli spacesEnriques' characterization of Abelian surfaces in positive characteristicChow and cohomology rings of moduli stacks of plane quarticsZero cycles on Severi--Brauer flag varietiesMotivic Galois theory for one-loop Feynman integrals in momentum spaceToric Landau-Ginzburg models in threefold divisorial contractionsPlanar multilinks and rational singularitiesOn optimal $p$-adic uniformization of unitary Shimura curves$K$-theoretic Hall algebras and Coulomb branchesTensor triangular geometry -- Notes for an Oberwolfach SeminarThe Hitchin and Knizhnik-Zamolodchikov connections are projectively equivalent in the genus zero caseHaiman's Conjecture and Springer's Representations
  • arXiv math.AGの新着論文24本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-05-19/

    On positivity of the limit F-signatureAutomorphisms of the moduli space of smooth cubic surfaces and its fundamental groupTropical curves with parallel raysModuli of Persson surfaces: The compactification via KSBA stable pairs and a generic global Torelli type theoremGeneric $\mathcal{A}$-finite determinacy and singularities of homogeneous polynomial mappingsRationality problem for norm one tori of tensor products of \'etale algebras and Hasse norm principleOn the poles of zeta functions for finite morphisms between normal surfaces$\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebrasLogarithmic Hilbert schemes of curves as weighted blow-ups and their integral Chow ringsGenus formulas for dormant modular curves and asymptotic behavior of their function fieldsDuality for dormant opers of classical types B and CDegenerations and Stability of K\"ahler Structures on Calabi--Yau ManifoldsChern classes of Laughlin bundles on the quasihole moduli spaceZero-cycles on Moduli Spaces of Twisted Sheaves and Applications to Double EPW QuarticsLie algebroid Connections, Moduli of $\mathcal{L}$--twisted Principal Objects and motives2-dimensional finite-gap Schr\"{o}dinger operator whose spectrum admits two involutionsPicard bundles and the degree of irrationality of JacobiansSpherical Milnor Spaces II: Projective Quotients and Higher Topological StructuresHolomorphic disks and GIT quotientsRank varieties over the generic hypersurface IDecay of weighted cusp counts for congruence subgroups of $SL_2$ over number fieldsComputing points in connected components defined by a real inequation: algorithms, complexity and implementations, Part IThe Symmetries of Three-Layer ReLU NetworksMonodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli