OOIR: Observatory of International Research

Papers

(The TQCC of Forum of Mathematics Sigma is 2. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Complete verification of strong BSD for many modular abelian surfaces over ${\mathbf {Q}}$	17
Eichler–Selberg relations for singular moduli	17
Heaps of modules: categorical aspects	14
Fiber bundles associated with Anosov representations	13
The conjugacy problem for $\operatorname {Out}(F_3)$	12
On determining and breaking the gauge class in inverse problems for reaction-diffusion equations	12
Random independent sets in triangle-free graphs	11
A model of the Axiom of Determinacy in which every set of reals is universally Baire	10
Inhomogeneous isotropic quantum spin chain associated with the difference Lamé equation	10
The extremal landscape for the C $\beta $ E ensemble	9
Modularity of trianguline Galois representations	8
Structure of blocks with normal defect and abelian inertial quotient	7
Approximate and discrete Euclidean vector bundles	7
Base sizes of primitive groups of diagonal type	7
Geometric structures for maximal representations and pencils	7
Globally F-regular type of the moduli spaces of parabolic symplectic/orthogonal bundles on curves	6
Equivariant geometry of singular cubic threefolds	6
On the kernel of the -Generalized fourier transform	6
MacMahon’s statistics on higher-dimensional partitions	6
Bordered Floer homology and contact structures	6
Length functions in Teichmüller and anti-de Sitter geometry	6
Complete positivity order and relative entropy decay	6
Sums of squares, Hankel index and almost real rank	6
Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci	6
Partitioning theorems for sets of semi-Pfaffian sets, with applications	5

On Bloch’s map for torsion cycles over non-closed fields	5
Ulrich modules and weakly lim Ulrich sequences do not always exist	5
Beltrami fields exhibit knots and chaos almost surely	5
Geometric approaches to matrix normalization and graph balancing	5
Limits of nodal surfaces and applications	5
The Ceresa class and tropical curves of hyperelliptic type	5
Remark on complements on surfaces	5
Cohomological Descent for Faltings Ringed Topos	5
t-Design Curves and Mobile Sampling on the Sphere	5
Affine Bruhat order and Demazure products	5
A proof of the Elliott–Rödl conjecture on hypertrees in Steiner triple systems	5
An obstacle approach to rate-independent droplet evolution	5
Root, flow and order polytopes with connections to toric geometry	5
Semi-stable and splitting models for unitary Shimura varieties over ramified places. I.	5
Parametric Fourier and Mellin transforms of power-constructible functions	5
Relative quantum cohomology of the Chiang Lagrangian	5
A new bound on cofactors of sparse polynomials	5
Polarization of lattices: Stable cold spots and spherical designs	5
Random Fibonacci Words via Clone Schur Functions – CORRIGENDUM	4
Expanding measures: Random walks and rigidity on homogeneous spaces	4
A Pipe Dream Perspective on Totally Symmetric Self-Complementary Plane Partitions	4
High Frobenius pushforwards generate the bounded derived category	4
Vanishing of Schubert coefficients via the effective Hilbert nullstellensatz	4
Quantum wreath products and Schur–Weyl duality I	4
Complexity of finite Borel asymptotic dimension	4
Cogroupoid structures on the circle and the Hodge degeneration	4
Finite subgroups of automorphisms of K3 surfaces	4
Hyperbinary partitions and q -deformed rationals	4
The Quantitative Kurosh Problem	4
The group of reversible turing machines: subgroups, generators, and computability	4
Joint transitivity for linear iterates	4
Complete regularity of linear cocycles and the Baire category of the set of Lyapunov-Perron regular points	4
Asymptotic expansions relating to the distribution of the length of longest increasing subsequences	4
The group of reversible turing machines: subgroups, generators, and computability – CORRIGENDUM	4
Free torus actions and twisted suspensions	4
Thompson’s group T has quadratic Dehn function	4
Hensel minimality II: Mixed characteristic and a diophantine application	4
Tropicalization of $\psi $ classes	4
Algebraic relations among Goss’s zeta values on elliptic curves	3
Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron	3
Meta algebras and biorthogonal rational functions: The Hahn case	3
Adams’ cobar construction as a monoidal -coalgebra model of the based loop space	3
Hodge theory of abelian covers of algebraic varieties	3
A question of Frohardt on -groups, skew translation quadrangles of even order and cyclic STGQs	3
Sharp local well-posedness for KP-I equations in the semilinear regime	3
The weak Ramsey property and extreme amenability	3
On Namba Forcing And Minimal Collapses	3
Vanishing of Brauer groups of moduli stacks of stable curves	3
Heights on stacks and a generalized Batyrev–Manin–Malle conjecture	3
The Ceresa period from tropical homology	3

Subspace profiles over finite fields and q -Whittaker expansions of symmetric functions	3
Improved effective Łojasiewicz inequality and applications	3
Inductive local-global conditions and generalised Harish-Chandra theory	3
Quasimaps to moduli spaces of sheaves on a surface	3
Minimal log discrepancies of hypersurface mirrors	3
A cone conjecture for log Calabi-Yau surfaces	3
On Duclos–Exner’s conjecture about waveguides in strong uniform magnetic fields	3
Representation theory of the reflection equation algebra I: A quantization of Sylvester’s law of inertia	3
Increasing subsequences, matrix loci and Viennot shadows	3
Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve	3
Post-Lie algebras in Regularity Structures	3
Four universal growth regimes in degree-dependent first passage percolation on spatial random graphs	3
Interaction energies in nematic liquid crystal suspensions	3
On Sarnak’s Density Conjecture and Its Applications	3
K-stability of Thaddeus’ moduli of stable bundle pairs on genus two curves	3
-definability at higher cardinals: Thin sets, almost disjoint families and long well-orders	3
Two-Point Concentration of the Independence Number of the Random Graph	3
Calabi–Yau structures on (quasi-)bisymplectic algebras	3
A raising operator formula for Macdonald polynomials	3
Abelian supplements in almost simple groups	3
Localization in the random XXZ quantum spin chain	3
Extremal, enumerative and probabilistic results on ordered hypergraph matchings	3
The log-open correspondence for two-component Looijenga pairs	3
Rainbow spanning structures in graph and hypergraph systems	3
Rank jumps and multisections of elliptic fibrations on K3 surfaces	3
Unimodular Hunting II	3
The slice decomposition of planar hypermaps	2
Empty simplices of large width	2
Two dimensional versions of the affine Grassmannian and their geometric description	2
Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality	2
A local-global principle for unipotent characters	2
Tunable localisation in parity-time-symmetric resonator arrays with imaginary gauge potentials	2
Biharmonic almost complex structures	2
Upper bounds on the genus of hyperelliptic Albanese fibrations	2
Hyperfiniteness of boundary actions of acylindrically hyperbolic groups	2
Lower Bounds for the Canonical Height of a Unicritical Polynomial and Capacity	2
Prosoluble subgroups of free profinite products	2
Consistent dimer models on surfaces with boundary	2
Improvements on dimension growth results and effective Hilbert’s irreducibility theorem	2
Lorentzian polynomials on cones	2
Counting geodesics of given commutator length	2
Efficient simplicial replacement of semialgebraic sets	2
Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds	2
Boundedness of slc degenerations of polarized log Calabi–Yau pairs	2
Concentration of closed geodesics in the homology of modular curves	2
Estimates for evolutionary partial differential equations in classical function spaces	2
Ramsey numbers of cycles versus general graphs	2
The disoriented skein and iquantum Brauer categories	2
The integral Chow ring of $\mathcal {M}_{1,n}$ for $n=3,\dots ,10$	2
Stability of isometric immersions of hypersurfaces	2
Low complexity subshifts have discrete spectrum	2
Equivariant Brill–Noether theory for elliptic operators and superrigidity of J-holomorphic maps	2
Asymptotic expansion of matrix models in the multi-cut regime	2
Quantum bumpless pipe dreams	2
On the finiteness of the classifying space of diffeomorphisms of reducible three manifolds	2
Deformations of arcs and comparison of formal neighborhoods for a curve singularity	2
Bender–Knuth Billiards in Coxeter Groups	2
Metallic mean Wang tiles II: the dynamics of an aperiodic computer chip	2
Periods of elliptic surfaces with $p_g=q=1$	2
Lim Ulrich sequences and Boij-Söderberg cones	2
Semistable degenerations of Calabi–Yau manifolds and mirror P=W conjectures	2
Superelliptic Affine Lie algebras and orthogonal polynomials	2
Genus two KdV soliton gases and their long-time asymptotics	2
Covering gonality of symmetric products of curves and Cayley–Bacharach condition on Grassmannians	2
Lower bounds on density for topologically nontrivial minimal cones up to dimension six	2
When are the natural embeddings of classical invariant rings pure?	2
Cycle Partitions in Dense Regular Digraphs and Oriented Graphs	2
Chern classes in equivariant bordism	2
Chi-Boundedness of graphs containing no cycles with k chords	2
Two-sided permutation statistics via symmetric functions	2
Pressure of a dilute spin-polarized Fermi gas: Lower bound	2
Limit pretrees for free group automorphisms: existence	2
Limit trees for free group automorphisms: universality	2
Nonemptiness of severi varieties on enriques surfaces	2
Continuity of the orthogeodesic foliation and ergodic theory of the earthquake flow	2
Undecidability of polynomial inequalities in weighted graph homomorphism densities	2
Geometrization of the Satake transform for mod p Hecke algebras	2