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 2020-05-01 to 2024-05-01.)

Article	Citations
Decomposition of degenerate Gromov–Witten invariants	25
Back stable Schubert calculus	21
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
Homological mirror symmetry for higher-dimensional pairs of pants	11
Geometric consistency of Manin's conjecture	11
The logarithmic Picard group and its tropicalization	10
On dualizability of braided tensor categories	10
The integral Hodge conjecture for two-dimensional Calabi–Yau categories	9
Toric degenerations of cluster varieties and cluster duality	9
The test function conjecture for local models of Weil-restricted groups	9
Malle's conjecture for for	8
A bimodule description of the Hecke category	8
Arithmetic diagonal cycles on unitary Shimura varieties	8
Degeneracy loci, virtual cycles and nested Hilbert schemes II	7
On the construction of tame supercuspidal representations	7
Generic rank of Betti map and unlikely intersections	7
K-theory of valuation rings	7
Classification of universal formality maps for quantizations of Lie bialgebras	6
Hecke action on the principal block	6
The classification of free algebras of orthogonal modular forms	6
On -local	6

Automorphy lifting for residually reducible -adic Galois representations, II	6
Monoidal abelian envelopes	6
Flops and spherical functors	5
Rank 3 quadratic generators of Veronese embeddings	5
Bökstedt periodicity and quotients of DVRs	5
G-torseurs en théorie de Hodgep-adique	5
The localization theorem for framed motivic spaces	5
Simply laced root systems arising from quantum affine algebras	5
The level of distribution of the Thue–Morse sequence	5
Higher preprojective algebras, Koszul algebras, and superpotentials	5
A uniform treatment of Grothendieck's localization problem	5
Mixed Ax–Schanuel for the universal abelian varieties and some applications	5
Classification of irreversible and reversible Pimsner operator algebras	5
Diagrams in the mod p cohomology of Shimura curves	5
Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity	5
Birational boundedness of low-dimensional elliptic Calabi–Yau varieties with a section	5
On the distribution of rational points on ramified covers of abelian varieties	5
Global geometry on moduli of local systems for surfaces with boundary	5
Rigidity of the mod 2 families Seiberg–Witten invariants and topology of families of spin 4-manifolds	5
Exponential mixing of frame flows for convex cocompact hyperbolic manifolds	5
On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic	5
L-functions of GL_2n: p-adic properties and non-vanishing of twists	4
Depth-graded motivic multiple zeta values	4
Groups of piecewise linear homeomorphisms of flows	4
Residual categories for (co)adjoint Grassmannians in classical types	4
Constructing Fano 3-folds from cluster varieties of rank 2	4
Poisson boundaries of II₁ factors	4
The explicit Zelevinsky–Aubert duality	4
Dimensional reduction in cohomological Donaldson–Thomas theory	4
The strong Suslin reciprocity law	4
Singular units and isogenies between CM elliptic curves	4
Formality conjecture for minimal surfaces of Kodaira dimension 0	3
The Baum–Connes conjecture localised at the unit element of a discrete group	3
Specialization for the pro-étale fundamental group	3
The essential dimension of congruence covers	3
On monic abelian cubics	3
Towards Vorst's conjecture in positive characteristic	3
The Hanna Neumann conjecture for surface groups	3
Equivariant -absorption theorem for exact groups	3
A note on the number of irrational odd zeta values	3
Rational cobordisms and integral homology	3
The flow tree formula for Donaldson–Thomas invariants of quivers with potentials	3
Positivity of Hodge bundles of abelian varieties over some function fields	3
Mirabolic Satake equivalence and supergroups	3
Enough vector bundles on orbispaces	3
Wiles defect for Hecke algebras that are not complete intersections	3
Shimura varieties at level and Galois representations	3
Fast growth of the number of periodic points arising from heterodimensional connections	3
A support theorem for Hilbert schemes of planar curves, II	3
Volume function and Mahler measure of exact polynomials	2

A Harder–Narasimhan stratification of the -Grassmannian	2
Faltings height and Néron–Tate height of a theta divisor	2
On distributivity in higher algebra I: the universal property of bispans	2
Cuspidal cohomology of stacks of shtukas	2
Arithmetic purity of strong approximation for semi-simple simply connected groups	2
Orbifold hyperbolicity	2
Instantons and Bar-Natan homology	2
De Rham–Witt sheaves via algebraic cycles	2
The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves	2
On Lipschitz normally embedded complex surface germs	2
Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure	2
The spectral p-adic Jacquet–Langlands correspondence and a question of Serre	2
Logarithmic growth filtrations for -modules over the bounded Robba ring	2
Newton non-degenerate -constant deformations admit simultaneous embedded resolutions	2
On the derived category of the Iwahori–Hecke algebra	2
BCOV invariant and blow-up	2
Conformal blocks for Galois covers of algebraic curves	2
The categorified Grothendieck–Riemann–Roch theorem	2
Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions	2
Intersection theory of nefb-divisor classes	2
Equidistribution of Hodge loci II	2
Stable homotopy refinement of quantum annular homology	2
The monodromy of unit-root F-isocrystals with geometric origin	2
Embedding spheres in knot traces	2
A new upper bound for sets with no square differences	2
Reciprocity sheaves and logarithmic motives	2
A -adic monodromy theorem for de Rham local systems	2
Weight filtrations on Selmer schemes and the effective Chabauty–Kim method	2
Schiffer variations and the generic Torelli theorem for hypersurfaces	2
Obstruction theory and the level n elliptic genus	2
Local intertwining relation for metaplectic groups	2
The pentagram map, Poncelet polygons, and commuting difference operators	2
Quadratic Chabauty for modular curves: algorithms and examples	2
Minimal rational curves on generalized Bott–Samelson varieties	2
Brauer groups and Galois cohomology of commutative ring spectra	2
Symmetrisation and the Feigin–Frenkel centre	2
Infinitesimal structure of the pluricanonical double ramification locus	2
Fields of moduli and the arithmetic of tame quotient singularities	2
Reductions of abelian surfaces over global function fields	2