OOIR: Observatory of International Research

Papers

(The TQCC of Selecta Mathematica-New Series is 3. 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.)

Article	Citations
Spectrum of p-adic linear differential equations I: the shape of the spectrum	24
A sharp bound for hypergeometric rank in dimension three	21
Lagrangian split tori in $$S^2 \times S^2$$ and billiards	18
Colored vertex models and Iwahori Whittaker functions	16
JSJ decompositions of knot exteriors, Dehn surgery and the L-space conjecture	13
On first order amenability	12
A general Chevalley formula for semi-infinite flag manifolds and quantum K-theory	12
Deformation cohomology of Schur–Weyl categories	10
Galois closures and elementary components of Hilbert schemes of points	10
Lie algebroids are curved Lie algebras	10
Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials	10
Tomographic Fourier extension identities for submanifolds of $${\mathbb {R}}^n$$	10
Pre-weight structures, pseudo-identities and canonical derived equivalences	10
Pieri and Murnaghan–Nakayama type rules for Chern classes of Schubert Cells	9
A skein relation for singular Soergel bimodules	9
$$\textbf{GL}$$-algebras in positive characteristic I: the exterior algebra	9
Future stability of perfect fluids with extreme tilt and linear equation of state $$p=c_s^2\rho $$ for the Einstein-Euler system with positive cosmological constant: The range $$\frac{1}{3}<c_s^2&l	9
On the physical rigidity of Frenkel-Gross connection	8
On the affine Hecke category for $$SL_3$$	8
Quantitative rational approximation on spheres	8
$$\imath $$Hall algebra of Jordan quiver and $$\imath $$Hall-Littlewood functions	8
Existential uniform p-adic integration and descent for integrability and largest poles	8
Mutations of noncommutative crepant resolutions in geometric invariant theory	8
The Synthetic Hilbert Additive Group Scheme	8
Symplectic topology and ideal-valued measures	8

Oriented matroids from triangulations of products of simplices	8
Holonomic functions and prehomogeneous spaces	7
Generic density of geodesic nets	7
Degenerating products of flag varieties and applications to the Breuil–Mézard conjecture	7
Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers	7
Minuscule reverse plane partitions via quiver representations	7
Divisors and curves on logarithmic mapping spaces	6
Stable homology isomorphisms for the partition and Jones annular algebras	6
Pole dynamics and an integral of motion for multiple SLE(0)	6
On tropical intersection theory	6
Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group	6
Ends of (singular) Ricci shrinkers	6
On Linear spaces of matrices of bounded rank	6
Coxeter quiver representations in fusion categories and Gabriel’s theorem	5
The birational geometry of $$\overline{{\mathcal {R}}}_{g,2}$$ and Prym-canonical divisorial strata	5
Periodic orbits of non-degenerate lacunary contact forms on prequantization bundles	5
Poisson brackets and coaction maps of regularized holonomies of the KZ equation	5
An obstruction to smoothing stable maps	5
Knotted toroidal sets, attractors and incompressible surfaces	5
Lipschitz geometry of surface germs in $${\mathbb {R}}^4$$: metric knots	5
PROBs and perverse sheaves I: symmetric products	5
Drinfeld rational fractions for affine Kac–Moody quantum symmetric pairs	5
Combinatorial proofs of the type A quiver component formulas	5
On compactifications of $$\mathcal {M}_{g,n}$$ with colliding markings	5
Crystallinity of rigid flat connections revisited	5
On the analyticity of the nonlinear Fourier transform of the Benjamin-Ono equation on $$\mathbb {T}$$	5
Multiplicative structures and random walks in o-minimal groups	5
Quartic surfaces up to volume preserving equivalence	5
Arboreal tensor categories	5
On the big quantum cohomology of coadjoint varieties	4
Towards enriched universal algebra	4
A Diophantine divisor problem and Hecke zeta functions	4
Proof of a conjectured Möbius inversion formula for Grothendieck polynomials	4
Wreath Macdonald polynomials, quiver varieties, and quasimap counts	4
Linearizability of flows by embeddings	4
On V-filtration, Hodge filtration and Fourier transform	4
Infinitesimal characters in arithmetic families	4
Mod-2 Hecke algebras of level 3 and 5	4
Double bubble plumbings and two-curve flops	4
On the topology of the moduli of tropical unramified p-covers	4
Cycle conjectures and birational invariants over finite fields	4
A proof-theoretic metatheorem for nonlinear semigroups generated by an accretive operator and applications	4
The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms	4
Non-unitary Wightman CFTs and non-unitary vertex algebras	4
Flat Generalized Connections on Courant Algebroids	4
A class of perverse schobers in Geometric Invariant Theory	4
A generalization of Voevodsky’s reconstruction theorem of schemes from their étale topoi	4
Elliptic Ruijsenaars difference operators, symmetric polynomials, and Wess–Zumino–Witten fusion rings	4
Categorical Milnor squares and K-theory of algebraic stacks	4
Multiple positive solutions with prescribed masses for a coupled Schrödinger system: mass mixed and Sobolev critical coupled case	4

Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism	4
Top-degree rational cohomology in the symplectic group of a number ring	4
Jet functors in noncommutative geometry	3
Fusion-stable structures on triangulated categories	3
Theta series of ternary quadratic lattice cosets	3
Algebraic foliations and derived geometry: the Riemann–Hilbert correspondence	3
Diagonal invariants and genus-zero Hurwitz Frobenius manifolds	3
The distribution of Weierstrass points on a tropical curve	3
Moduli of relative stable maps to $$\mathbb {P}^1$$: cut-and-paste invariants	3
Lagrangian cobordism and shadow distance in Tamarkin category	3
A distinction between the paraboloid and the sphere in weighted restriction	3
Heaps, crystals, and preprojective algebra modules	3
Cyclotomic expansions for $$\mathfrak {gl}_N$$ link invariants via interpolation Macdonald polynomials	3
Quantum parameters of the geometric Langlands theory	3
Positivity of tropical multidegrees	3
Parabolic recursions for Kazhdan–Lusztig polynomials and the hypercube decomposition	3
Unlikely intersections of curves with algebraic subgroups in semiabelian varieties	3
Formal integration of complete Rota-Baxter Lie algebras and Magnus expansion	3
Topologically and rationally slice knots	3
Row-column mirror symmetry for colored torus knot homology	3
On tori periods of Weil representations of unitary groups	3
Bad approximability, bounded ratios and Diophantine exponents	3
$$\text {SL}_{2}$$ tilting modules in the mixed case	3
Multi-level loop equations for $$\beta $$-corners processes	3
Virtual Cartier divisors and blow-ups	3
Le Potier’s strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces	3
Elementary properties of free lattices II: decidability of the universal theory	3
Hall Lie algebras of toric monoid schemes	3
Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests	3
Schottky spaces and universal Mumford curves over $${\mathbb {Z}}$$	3
Robertson’s conjecture and universal finite generation in the homology of graph braid groups	3