Compositio Mathematica

Papers
(The median citation count of Compositio Mathematica is 0. 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 2020-04-01 to 2024-04-01.)
ArticleCitations
Decomposition of degenerate Gromov–Witten invariants24
Back stable Schubert calculus21
Monoidal categorification and quantum affine algebras16
Parity duality for the amplituhedron16
Canonical bases arising from quantum symmetric pairs of Kac–Moody type15
Universal two-parameter ?-algebra and vertex algebras of type ?(2, 3, …, N)14
An arithmetic count of the lines on a smooth cubic surface12
Branching laws for classical groups: the non-tempered case12
Geometric consistency of Manin's conjecture10
Homological mirror symmetry for higher-dimensional pairs of pants10
On dualizability of braided tensor categories10
The test function conjecture for local models of Weil-restricted groups9
The logarithmic Picard group and its tropicalization9
The integral Hodge conjecture for two-dimensional Calabi–Yau categories9
A bimodule description of the Hecke category8
Arithmetic diagonal cycles on unitary Shimura varieties8
Motohashi’s fourth moment identity for non-archimedean test functions and applications8
K-theory of valuation rings7
Toric degenerations of cluster varieties and cluster duality7
Malle's conjecture for for7
Generic rank of Betti map and unlikely intersections7
On the construction of tame supercuspidal representations7
Classification of universal formality maps for quantizations of Lie bialgebras6
Hecke action on the principal block6
Monoidal abelian envelopes6
Degeneracy loci, virtual cycles and nested Hilbert schemes II6
Automorphy lifting for residually reducible -adic Galois representations, II6
The classification of free algebras of orthogonal modular forms6
On -local6
Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity5
The level of distribution of the Thue–Morse sequence5
Birational boundedness of low-dimensional elliptic Calabi–Yau varieties with a section5
Global geometry on moduli of local systems for surfaces with boundary5
Diagrams in the mod p cohomology of Shimura curves5
Simply laced root systems arising from quantum affine algebras5
Higher preprojective algebras, Koszul algebras, and superpotentials5
Bökstedt periodicity and quotients of DVRs5
Mixed Ax–Schanuel for the universal abelian varieties and some applications5
Classification of irreversible and reversible Pimsner operator algebras5
The localization theorem for framed motivic spaces5
Flops and spherical functors5
Rank 3 quadratic generators of Veronese embeddings5
On the distribution of rational points on ramified covers of abelian varieties5
Rigidity of the mod 2 families Seiberg–Witten invariants and topology of families of spin 4-manifolds5
Exponential mixing of frame flows for convex cocompact hyperbolic manifolds5
Constructing Fano 3-folds from cluster varieties of rank 24
On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic4
A uniform treatment of Grothendieck's localization problem4
Singular units and isogenies between CM elliptic curves4
G-torseurs en théorie de Hodgep-adique4
L-functions of GL2n: p-adic properties and non-vanishing of twists4
Lower bounds for Maass forms on semisimple groups4
The strong Suslin reciprocity law4
Groups of piecewise linear homeomorphisms of flows4
Dimensional reduction in cohomological Donaldson–Thomas theory4
Poisson boundaries of II1 factors4
Local Rankin–Selberg integrals for Speh representations4
The explicit Zelevinsky–Aubert duality4
A support theorem for Hilbert schemes of planar curves, II3
The Hanna Neumann conjecture for surface groups3
The Baum–Connes conjecture localised at the unit element of a discrete group3
Enough vector bundles on orbispaces3
Rational cobordisms and integral homology3
Towards Vorst's conjecture in positive characteristic3
Depth-graded motivic multiple zeta values3
Specialization for the pro-étale fundamental group3
A note on the number of irrational odd zeta values3
Shimura varieties at level and Galois representations3
Formality conjecture for minimal surfaces of Kodaira dimension 03
Mirabolic Satake equivalence and supergroups3
Equivariant -absorption theorem for exact groups3
The essential dimension of congruence covers3
Residual categories for (co)adjoint Grassmannians in classical types3
Stable homotopy refinement of quantum annular homology2
Embedding spheres in knot traces2
Weight filtrations on Selmer schemes and the effective Chabauty–Kim method2
A -adic monodromy theorem for de Rham local systems2
On the derived category of the Iwahori–Hecke algebra2
Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions2
Instantons and Bar-Natan homology2
The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves2
Cuspidal cohomology of stacks of shtukas2
Infinitesimal structure of the pluricanonical double ramification locus2
The pentagram map, Poncelet polygons, and commuting difference operators2
Reciprocity sheaves and logarithmic motives2
Minimal rational curves on generalized Bott–Samelson varieties2
Symmetrisation and the Feigin–Frenkel centre2
Reductions of abelian surfaces over global function fields2
Logarithmic growth filtrations for -modules over the bounded Robba ring2
Volume function and Mahler measure of exact polynomials2
On distributivity in higher algebra I: the universal property of bispans2
Quadratic Chabauty for modular curves: algorithms and examples2
Equidistribution of Hodge loci II2
BCOV invariant and blow-up2
The monodromy of unit-root F-isocrystals with geometric origin2
Intersection theory of nefb-divisor classes2
The flow tree formula for Donaldson–Thomas invariants of quivers with potentials2
The categorified Grothendieck–Riemann–Roch theorem2
Unistructurality of cluster algebras2
De Rham–Witt sheaves via algebraic cycles2
On Lipschitz normally embedded complex surface germs2
Newton non-degenerate -constant deformations admit simultaneous embedded resolutions2
Positivity of Hodge bundles of abelian varieties over some function fields2
Conformal blocks for Galois covers of algebraic curves2
Local intertwining relation for metaplectic groups2
Arithmetic purity of strong approximation for semi-simple simply connected groups2
Wiles defect for Hecke algebras that are not complete intersections2
Brauer groups and Galois cohomology of commutative ring spectra2
Obstruction theory and the level n elliptic genus2
The spectral p-adic Jacquet–Langlands correspondence and a question of Serre2
Faltings height and Néron–Tate height of a theta divisor2
Fast growth of the number of periodic points arising from heterodimensional connections2
Schiffer variations and the generic Torelli theorem for hypersurfaces2
Locality of relative symplectic cohomology for complete embeddings1
Big principal series, -adic families and -invariants1
Galois symmetries of knot spaces1
Higher semiadditive algebraic K-theory and redshift1
Kudla–Rapoport conjecture for Krämer models1
K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant1
Period sheaves via derived de Rham cohomology1
Summands of theta divisors on Jacobians1
Dévisser, découper, éclater et aplatir les espaces de Berkovich1
Bi-graded Koszul modules, K3 carpets, and Green's conjecture1
Trace and Künneth formulas for singularity categories and applications1
The bounded height conjecture for semiabelian varieties1
Generic local deformation rings when1
Harmonic models and Bernoullicity1
Wall-crossings and a categorification of K-theory stable bases of the Springer resolution1
On monic abelian cubics1
Singular Gauduchon metrics1
Diagonal quartic surfaces with a Brauer–Manin obstruction1
A new upper bound for sets with no square differences1
A strictly commutative model for the cochain algebra of a space1
Rank 2 local systems and abelian varieties II1
Non-vanishing of class group L-functions for number fields with a small regulator1
Perfect points on curves of genus 1 and consequences for supersingular K3 surfaces1
Stability in the homology of Deligne–Mumford compactifications1
The distribution of the maximum of partial sums of Kloosterman sums and other trace functions1
On p-adic uniformization of abelian varieties with good reduction1
Smoothing Calabi–Yau toric hypersurfaces using the Gross–Siebert algorithm1
The Balmer spectrum of certain Deligne–Mumford stacks1
The Grothendieck–Serre conjecture over valuation rings1
Lagrangian configurations and Hamiltonian maps1
On uniqueness ofp-adic period morphisms, II1
Successive minima and asymptotic slopes in Arakelov geometry1
On automorphisms and splittings of special groups1
Projective varieties with nef tangent bundle in positive characteristic1
On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov1
Integral Fourier transforms and the integral Hodge conjecture for one-cycles on abelian varieties1
Localization and nilpotent spaces in -homotopy theory1
Central elements in affine modpHecke algebras via perverse -sheaves1
Rigid-analytic varieties with projective reduction violating Hodge symmetry1
Orbifold hyperbolicity1
Corrigendum: A curve selection lemma in spaces of arcs and the image of the Nash map1
An exceptional Siegel–Weil formula and poles of the Spin L-function of1
Torsion points on isogenous abelian varieties1
Moduli of surfaces in1
Computing a categorical Gromov–Witten invariant1
Fields of moduli and the arithmetic of tame quotient singularities1
Fundamental local equivalences in quantum geometric Langlands1
Drinfeld's lemma for F-isocrystals, II: Tannakian approach1
Sheaf quantization of Legendrian isotopy1
-rigidity of Lagrangian submanifolds and punctured holomorphic disks in the cotangent bundle1
A construction of complex analytic elliptic cohomology from double free loop spaces1
The symplectic isotopy problem for rational cuspidal curves1
Le transfert singulier pour la formule des traces de Jacquet–Rallis1
The Poisson spectrum of the symmetric algebra of the Virasoro algebra1
Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure1
A specialization inequality for tropical complexes0
Dynamics on ℙ1: preperiodic points and pairwise stability0
Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank0
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Corrigendum: Generic rank of Betti map and unlikely intersections0
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Numerically non-special varieties0
The integral Chow ring of , for odd0
p-adic Eichler–Shimura maps for the modular curve0
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A Harder–Narasimhan stratification of the -Grassmannian0
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Classification of algebraic solutions of irregular Garnier systems0
On weighted-blowup formulae of genus zero orbifold Gromov–Witten invariants0
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Corrigendum: On the probabilities of local behaviors in abelian field extensions0
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Stratification of the transverse momentum map0
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Higher index Fano varieties with finitely many birational automorphisms0
The analytic classification of plane curves0
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Sixfolds of generalized Kummer type and K3 surfaces0
Families of rational curves on holomorphic symplectic varieties and applications to 0-cycles0
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Discrepancy in modular arithmetic progressions0
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Translates of homogeneous measures associated with observable subgroups on some homogeneous spaces0
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A letter from the Editors0
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Sutured instanton homology and Heegaard diagrams0
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Hofer's geometry and topological entropy0
Slopes in eigenvarieties for definite unitary groups0
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C1 actions on manifolds by lattices in Lie groups0
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On the Hasse principle for complete intersections0
Sets of special subvarieties of bounded degree0
On equivariant topological modular forms0
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On straightening for Segal spaces0
Hecke category actions via Smith–Treumann theory0
Geometric orbital integrals and the center of the enveloping algebra0
Double nested Hilbert schemes and the local stable pairs theory of curves0
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On the u-torsion submodule of prismatic cohomology0
Large families of elliptic curves ordered by conductor0
Orbit equivalence rigidity of irreducible actions of right-angled Artin groups0
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Approximation and homotopy in regulous geometry0
Local limit theorems in relatively hyperbolic groups II: the non-spectrally degenerate case0
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The tamely ramified geometric quantitative minimal ramification problem0
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Absolute Hodge and ℓ-adic monodromy0
Witt vectors with coefficients and characteristic polynomials over non-commutative rings0
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