Forum of Mathematics Sigma

Papers
(The median citation count of Forum of Mathematics Sigma is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-08-01 to 2026-08-01.)
ArticleCitations
Complete verification of strong BSD for many modular abelian surfaces over ${\mathbf {Q}}$19
The conjugacy problem for $\operatorname {Out}(F_3)$17
Eichler–Selberg relations for singular moduli17
Fiber bundles associated with Anosov representations14
Modularity of trianguline Galois representations14
Heaps of modules: categorical aspects14
A model of the Axiom of Determinacy in which every set of reals is universally Baire14
Structure of blocks with normal defect and abelian inertial quotient13
Inhomogeneous isotropic quantum spin chain associated with the difference Lamé equation11
Approximate and discrete Euclidean vector bundles10
Sums of squares, Hankel index and almost real rank9
Complete positivity order and relative entropy decay9
Base sizes of primitive groups of diagonal type7
Bordered Floer homology and contact structures7
MacMahon’s statistics on higher-dimensional partitions7
Geometric structures for maximal representations and pencils7
Random independent sets in triangle-free graphs7
Action-Driven flows for causal variational principles7
The extremal landscape for the C $\beta $ E ensemble7
Hierarchy of KPZ limits arising from directed random walk models in random media7
Globally F-regular type of the moduli spaces of parabolic symplectic/orthogonal bundles on curves7
On determining and breaking the gauge class in inverse problems for reaction-diffusion equations7
Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci6
t-Design Curves and Mobile Sampling on the Sphere6
Beltrami fields exhibit knots and chaos almost surely6
On the kernel of the -Generalized fourier transform6
Equivariant geometry of singular cubic threefolds6
Semi-stable and splitting models for unitary Shimura varieties over ramified places. I.6
On Bloch’s map for torsion cycles over non-closed fields6
Length functions in Teichmüller and anti-de Sitter geometry6
Affine Bruhat order and Demazure products6
Parametric Fourier and Mellin transforms of power-constructible functions6
Remark on complements on surfaces6
Root, flow and order polytopes with connections to toric geometry6
Cohomological Descent for Faltings Ringed Topos6
Ulrich modules and weakly lim Ulrich sequences do not always exist6
Relative quantum cohomology of the Chiang Lagrangian6
Joint transitivity for linear iterates5
Polarization of lattices: Stable cold spots and spherical designs5
Complexity of finite Borel asymptotic dimension5
Cogroupoid structures on the circle and the Hodge degeneration5
Partitioning theorems for sets of semi-Pfaffian sets, with applications5
A new bound on cofactors of sparse polynomials5
The Ceresa class and tropical curves of hyperelliptic type5
An obstacle approach to rate-independent droplet evolution5
Complete regularity of linear cocycles and the Baire category of the set of Lyapunov-Perron regular points5
Expanding measures: Random walks and rigidity on homogeneous spaces5
Limits of nodal surfaces and applications5
Asymptotic expansions relating to the distribution of the length of longest increasing subsequences5
Quantum wreath products and Schur–Weyl duality I5
Tropicalization of $\psi $ classes5
Random Fibonacci Words via Clone Schur Functions – CORRIGENDUM5
Geometric approaches to matrix normalization and graph balancing5
Sums of three cubes over a function field5
A proof of the Elliott–Rödl conjecture on hypertrees in Steiner triple systems5
Hyperbinary partitions and q -deformed rationals4
The group of reversible turing machines: subgroups, generators, and computability4
Free torus actions and twisted suspensions4
The Quantitative Kurosh Problem4
On Sarnak’s Density Conjecture and Its Applications4
Vanishing of Schubert coefficients via the effective Hilbert nullstellensatz4
Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron4
Improved effective Łojasiewicz inequality and applications4
High Frobenius pushforwards generate the bounded derived category4
A Tannakian framework for prismatic F -crystals4
Finite subgroups of automorphisms of K3 surfaces4
Hensel minimality II: Mixed characteristic and a diophantine application4
Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve4
Modules and generalizations of Joyce vertex algebras4
Algebraic relations among Goss’s zeta values on elliptic curves4
-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders4
Quantum duality principle and quantum symmetric pairs4
The group of reversible turing machines: subgroups, generators, and computability – CORRIGENDUM4
A Pipe Dream Perspective on Totally Symmetric Self-Complementary Plane Partitions4
Thompson’s group T has quadratic Dehn function4
Quasimaps to moduli spaces of sheaves on a surface4
Rainbow spanning structures in graph and hypergraph systems – ERRATUM4
The Ceresa period from tropical homology4
Upper bounds on the genus of hyperelliptic Albanese fibrations3
A cone conjecture for log Calabi-Yau surfaces3
Vanishing of Brauer groups of moduli stacks of stable curves3
Hodge theory of abelian covers of algebraic varieties3
Counting geodesics of given commutator length3
Increasing subsequences, matrix loci and Viennot shadows3
Two-Point Concentration of the Independence Number of the Random Graph3
Representation theory of the reflection equation algebra I: A quantization of Sylvester’s law of inertia3
Rainbow spanning structures in graph and hypergraph systems3
Rank jumps and multisections of elliptic fibrations on K3 surfaces3
On Namba Forcing And Minimal Collapses3
Extremal, enumerative and probabilistic results on ordered hypergraph matchings3
A question of Frohardt on -groups, skew translation quadrangles of even order and cyclic STGQs3
Consistent dimer models on surfaces with boundary3
Chern classes in equivariant bordism3
Calabi–Yau structures on (quasi-)bisymplectic algebras3
Two-sided permutation statistics via symmetric functions3
A raising operator formula for Macdonald polynomials3
Metallic mean Wang tiles II: the dynamics of an aperiodic computer chip3
Framed configuration spaces and exotic spheres3
Post-Lie algebras in Regularity Structures3
The log-open correspondence for two-component Looijenga pairs3
Adams’ cobar construction as a monoidal -coalgebra model of the based loop space3
Four universal growth regimes in degree-dependent first passage percolation on spatial random graphs3
Unimodular Hunting II3
Subspace profiles over finite fields and q -Whittaker expansions of symmetric functions3
Sharp local well-posedness for KP-I equations in the semilinear regime3
Nonemptiness of severi varieties on enriques surfaces3
On Duclos–Exner’s conjecture about waveguides in strong uniform magnetic fields3
Limit pretrees for free group automorphisms: existence3
Superelliptic Affine Lie algebras and orthogonal polynomials3
Abelian supplements in almost simple groups3
Equivariant Brill–Noether theory for elliptic operators and superrigidity of J-holomorphic maps3
Deformations of arcs and comparison of formal neighborhoods for a curve singularity3
Lorentzian polynomials on cones3
Meta algebras and biorthogonal rational functions: The Hahn case3
Localization in the random XXZ quantum spin chain3
The weak Ramsey property and extreme amenability3
K-stability of Thaddeus’ moduli of stable bundle pairs on genus two curves3
Heights on stacks and a generalized Batyrev–Manin–Malle conjecture3
Interaction energies in nematic liquid crystal suspensions3
Inductive local-global conditions and generalised Harish-Chandra theory3
Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality3
Undecidability of polynomial inequalities in weighted graph homomorphism densities3
Stability of isometric immersions of hypersurfaces3
Minimal log discrepancies of hypersurface mirrors3
Improvements on dimension growth results and effective Hilbert’s irreducibility theorem2
Limit trees for free group automorphisms: universality2
Relationships between two linearizations of the box-ball system: Kerov–Kirillov–Reschetikhin bijection and slot configuration – CORRIGENDUM2
Covering gonality of symmetric products of curves and Cayley–Bacharach condition on Grassmannians2
The integral Chow ring of $\mathcal {M}_{1,n}$ for $n=3,\dots ,10$2
Boundedness of the p -primary torsion of the Brauer group of products of varieties2
On the number of $\mathcal {H}$ -free hypergraphs2
KAM via standard fixed point theorems2
On a Santaló point for Nakamura-Tsuji’s Laplace transform inequality2
Chi-Boundedness of graphs containing no cycles with k chords2
Geometrization of the Satake transform for mod p Hecke algebras2
Lim Ulrich sequences and Boij-Söderberg cones2
Gluing approximable triangulated categories2
Homological Bondal-Orlov localization conjecture for rational singularities2
The disoriented skein and iquantum Brauer categories2
Extreme non-differentiability of typical Lipschitz mappings2
Estimates for evolutionary partial differential equations in classical function spaces2
Ramsey numbers of cycles versus general graphs2
Hyperfiniteness of boundary actions of acylindrically hyperbolic groups2
Spectral algorithms in higher-order Fourier analysis2
Semistable degenerations of Calabi–Yau manifolds and mirror P=W conjectures2
When are the natural embeddings of classical invariant rings pure?2
Biharmonic almost complex structures2
Δ–Springer varieties and Hall–Littlewood polynomials2
Brill-Noether loci of pencils with prescribed ramification on moduli of curves and on severi varieties on $K3$ surfaces2
Thurston’s fragmentation and c-principles2
Falling stars: a fall-decorated rational shuffle theorem2
A mirror theorem for Gromov-Witten theory without convexity2
Asymptotic expansion of matrix models in the multi-cut regime2
On the derived Lusztig correspondence2
Permutation groups, partition lattices and block structures2
Singularities of Steinberg deformation rings2
A local-global principle for unipotent characters2
Boundedness of slc degenerations of polarized log Calabi–Yau pairs2
Two dimensional versions of the affine Grassmannian and their geometric description2
Efficient simplicial replacement of semialgebraic sets2
Lower Bounds for the Canonical Height of a Unicritical Polynomial and Capacity2
Genus two KdV soliton gases and their long-time asymptotics2
Pressure of a dilute spin-polarized Fermi gas: Lower bound2
Tunable localisation in parity-time-symmetric resonator arrays with imaginary gauge potentials2
Cycle Partitions in Dense Regular Digraphs and Oriented Graphs2
Quantum bumpless pipe dreams2
Prosoluble subgroups of free profinite products2
Lower bounds on density for topologically nontrivial minimal cones up to dimension six2
Low complexity subshifts have discrete spectrum2
Measurable Vizing’s theorem2
Continuity of the orthogeodesic foliation and ergodic theory of the earthquake flow2
An extension of Venkatesh’s converse theorem to the Selberg class2
On the finiteness of the classifying space of diffeomorphisms of reducible three manifolds2
Bounding geometrically integral del Pezzo surfaces2
Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds2
Periods of elliptic surfaces with $p_g=q=1$2
Concentration of closed geodesics in the homology of modular curves2
Empty simplices of large width2
The slice decomposition of planar hypermaps2
Bender–Knuth Billiards in Coxeter Groups2
Extending families of homeomorphisms over 4-dimensional handlebodies2
Mapping class groups of h -cobordant manifolds1
Rigidity of symmetric simplicial complexes and the lower bound theorem1
Cohomological -dependence of ring structure for the moduli of one-dimensional sheaves on1
Semiregularity as a consequence of Goodwillie’s theorem1
Chaotic tracial dynamics1
Smooth surfaces with maximally many lines1
Elementary equivalence and disintegration of tracial von Neumann algebras1
Vines and MAT-labeled graphs1
Discrete sumsets with one large summand1
On the power of adaption and randomization1
The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one1
Pure subrings of Du Bois singularities are Du Bois singularities1
Quartic and Quintic Hypersurfaces with Dense Rational Points1
Uniform spectral gap and orthogeodesic counting for strong convergence of Kleinian groups1
Weighted Hodge ideals of reduced divisors1
k-leaky double Hurwitz descendants1
Compactifications and measures for rational maps1
Operator realizations of non-commutative analytic functions1
An extension of the stochastic sewing lemma and applications to fractional stochastic calculus1
Spectral Polyhedra1
Quantum K theory of Grassmannians, Wilson line operators and Schur bundles1
Evaluation of and period polynomial relations1
Norms in equivariant homotopy theory1
Higher Orbital Integrals, Cyclic Cocycles and Noncommutative Geometry1
p -adic Borel extension for local Shimura varieties1
Moduli Theory of the r -Braid Arrangement1
Generic Beauville’s Conjecture1
Scattering and pairing by exchange interactions1
Grassmanniennes affines tordues sur les entiers1
Locally analytic vectors and decompletion in mixed characteristic1
Decidability of the class of all the rings : A problem of Ax1
Polypositroids1
On integral rigidity in Seiberg–Witten theory1
Peterson-Lam-Shimozono’s theorem is an affine analogue of quantum Chevalley formula1
K-Orbit closures and Hessenberg varieties1
Simplices in large sets and directional expansion in ergodic actions1
$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras1
Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic $p>0$1
On the k -volume rigidity of a simplicial complex in d 1
On the irreducibility of Hessian loci of cubic hypersurfaces1
An algorithm for uniform generation of unlabeled (Pólya) trees1
Koszul binomial edge ideals1
Asymptotics of pure dimer coverings on rail yard graphs1
Minimal Model Program for Normal Pairs along log Canonical Locus1
Density of monochromatic infinite subgraphs II1
On the Farrell–Tate K -theory of 1
Equidimensionality of universal pseudodeformation rings in characteristic p for absolute Galois groups of p-adic fields1
Probabilistic operators for non-attacking tableaux and a compact formula for the symmetric Macdonald polynomials1
Cuspidal ${\ell }$ -modular representations of $\operatorname {GL}_n({ F})$ distinguished by a Galois involution1
The eleventh cohomology group of1
The power of many colours1
Canonical heights for abelian group actions of maximal dynamical rank - ERRATUM1
On -Strongly Measurable Cardinals1
Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity1
Orthogonal roots, Macdonald representations, and quasiparabolic sets1
Hecke algebras and local Langlands correspondence for non-singular depth-zero representations1
On canonical bundle formula for fibrations of curves with arithmetic genus one1
Cusps, Kleinian groups, and Eisenstein series1
Smooth Compactifications of the Abel-Jacobi Section1
“The six-functor formalism for rigid analytic motives” – Erratum1
Deformations of Calabi–Yau varieties withk-liminal singularities1
On the asymptotic number of low-lying states in the two-dimensional confined Stark effect1
Self-avoiding walk is ballistic on graphs with more than one end1
E-Polynomials of Generic -Character Varieties: Branched Case1
The exact consistency strength of the generic absoluteness for the universally Baire sets1
The index of a pair of pure states and the interacting integer quantum Hall effect1
Bounded Littlewood identity related to alternating sign matrices1
Height zero characters and Galois automorphisms1
Geometrical sets with forbidden configurations1
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