OOIR: Observatory of International Research

Papers

(The TQCC of Compositio Mathematica 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 2020-04-01 to 2024-04-01.)

Article	Citations
Decomposition of degenerate Gromov–Witten invariants	24
Back stable Schubert calculus	21
Monoidal categorification and quantum affine algebras	16
Parity duality for the amplituhedron	16
Canonical bases arising from quantum symmetric pairs of Kac–Moody type	15
Universal two-parameter ?_∞-algebra and vertex algebras of type ?(2, 3, …, N)	14
An arithmetic count of the lines on a smooth cubic surface	12
Branching laws for classical groups: the non-tempered case	12
Geometric consistency of Manin's conjecture	10
Homological mirror symmetry for higher-dimensional pairs of pants	10
On dualizability of braided tensor categories	10
The integral Hodge conjecture for two-dimensional Calabi–Yau categories	9
The test function conjecture for local models of Weil-restricted groups	9
The logarithmic Picard group and its tropicalization	9
Motohashi’s fourth moment identity for non-archimedean test functions and applications	8
A bimodule description of the Hecke category	8
Arithmetic diagonal cycles on unitary Shimura varieties	8
Generic rank of Betti map and unlikely intersections	7
On the construction of tame supercuspidal representations	7
K-theory of valuation rings	7
Toric degenerations of cluster varieties and cluster duality	7
Malle's conjecture for for	7
The classification of free algebras of orthogonal modular forms	6
On -local	6
Classification of universal formality maps for quantizations of Lie bialgebras	6

Hecke action on the principal block	6
Monoidal abelian envelopes	6
Degeneracy loci, virtual cycles and nested Hilbert schemes II	6
Automorphy lifting for residually reducible -adic Galois representations, II	6
Exponential mixing of frame flows for convex cocompact hyperbolic manifolds	5
Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity	5
The level of distribution of the Thue–Morse sequence	5
Birational boundedness of low-dimensional elliptic Calabi–Yau varieties with a section	5
Global geometry on moduli of local systems for surfaces with boundary	5
Diagrams in the mod p cohomology of Shimura curves	5
Simply laced root systems arising from quantum affine algebras	5
Higher preprojective algebras, Koszul algebras, and superpotentials	5
Bökstedt periodicity and quotients of DVRs	5
Mixed Ax–Schanuel for the universal abelian varieties and some applications	5
Classification of irreversible and reversible Pimsner operator algebras	5
The localization theorem for framed motivic spaces	5
Flops and spherical functors	5
Rank 3 quadratic generators of Veronese embeddings	5
On the distribution of rational points on ramified covers of abelian varieties	5
Rigidity of the mod 2 families Seiberg–Witten invariants and topology of families of spin 4-manifolds	5
Dimensional reduction in cohomological Donaldson–Thomas theory	4
Poisson boundaries of II₁ factors	4
Local Rankin–Selberg integrals for Speh representations	4
The explicit Zelevinsky–Aubert duality	4
Constructing Fano 3-folds from cluster varieties of rank 2	4
On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic	4
A uniform treatment of Grothendieck's localization problem	4
Singular units and isogenies between CM elliptic curves	4
G-torseurs en théorie de Hodgep-adique	4
L-functions of GL_2n: p-adic properties and non-vanishing of twists	4
Lower bounds for Maass forms on semisimple groups	4
The strong Suslin reciprocity law	4
Groups of piecewise linear homeomorphisms of flows	4
Residual categories for (co)adjoint Grassmannians in classical types	3
A support theorem for Hilbert schemes of planar curves, II	3
The Hanna Neumann conjecture for surface groups	3
The Baum–Connes conjecture localised at the unit element of a discrete group	3
Enough vector bundles on orbispaces	3
Rational cobordisms and integral homology	3
Towards Vorst's conjecture in positive characteristic	3
Depth-graded motivic multiple zeta values	3
Specialization for the pro-étale fundamental group	3
A note on the number of irrational odd zeta values	3
Shimura varieties at level and Galois representations	3
Formality conjecture for minimal surfaces of Kodaira dimension 0	3
Mirabolic Satake equivalence and supergroups	3
Equivariant -absorption theorem for exact groups	3
The essential dimension of congruence covers	3
Reductions of abelian surfaces over global function fields	2
Arithmetic purity of strong approximation for semi-simple simply connected groups	2

Logarithmic growth filtrations for -modules over the bounded Robba ring	2
Wiles defect for Hecke algebras that are not complete intersections	2
Volume function and Mahler measure of exact polynomials	2
Brauer groups and Galois cohomology of commutative ring spectra	2
On distributivity in higher algebra I: the universal property of bispans	2
The spectral p-adic Jacquet–Langlands correspondence and a question of Serre	2
Fast growth of the number of periodic points arising from heterodimensional connections	2
BCOV invariant and blow-up	2
Intersection theory of nefb-divisor classes	2
The categorified Grothendieck–Riemann–Roch theorem	2
De Rham–Witt sheaves via algebraic cycles	2
On Lipschitz normally embedded complex surface germs	2
Newton non-degenerate -constant deformations admit simultaneous embedded resolutions	2
Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions	2
Positivity of Hodge bundles of abelian varieties over some function fields	2
Instantons and Bar-Natan homology	2
Conformal blocks for Galois covers of algebraic curves	2
The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves	2
Local intertwining relation for metaplectic groups	2
Infinitesimal structure of the pluricanonical double ramification locus	2
Reciprocity sheaves and logarithmic motives	2
Obstruction theory and the level n elliptic genus	2
Faltings height and Néron–Tate height of a theta divisor	2
Schiffer variations and the generic Torelli theorem for hypersurfaces	2
Stable homotopy refinement of quantum annular homology	2
Embedding spheres in knot traces	2
Weight filtrations on Selmer schemes and the effective Chabauty–Kim method	2
Quadratic Chabauty for modular curves: algorithms and examples	2
A -adic monodromy theorem for de Rham local systems	2
Equidistribution of Hodge loci II	2
On the derived category of the Iwahori–Hecke algebra	2
The monodromy of unit-root F-isocrystals with geometric origin	2
The flow tree formula for Donaldson–Thomas invariants of quivers with potentials	2
Unistructurality of cluster algebras	2
Cuspidal cohomology of stacks of shtukas	2
The pentagram map, Poncelet polygons, and commuting difference operators	2
Minimal rational curves on generalized Bott–Samelson varieties	2
Symmetrisation and the Feigin–Frenkel centre	2