OOIR: Observatory of International Research

Papers

(The TQCC of Selecta Mathematica-New Series 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 2021-05-01 to 2025-05-01.)

Article	Citations
Characteristic classes for families of bundles	22
Colored vertex models and Iwahori Whittaker functions	16
Independence of algebraic monodromy groups in compatible systems	15
Optimal asymptotic of the J functional with respect to the $$d_1$$ metric	14
Langlands duality and Poisson–Lie duality via cluster theory and tropicalization	14
Knot reversal acts non-trivially on the concordance group of topologically slice knots	12
JSJ decompositions of knot exteriors, Dehn surgery and the L-space conjecture	11
A sharp bound for hypergeometric rank in dimension three	11
A general Chevalley formula for semi-infinite flag manifolds and quantum K-theory	10
Spectrum of p-adic linear differential equations I: the shape of the spectrum	10
Dimension spectrum of infinite self-affine iterated function systems	10
Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials	9
An affine generalization of evacuation	9
Deformations of $$\mathcal {W}$$ algebras via quantum toroidal algebras	9
Tomographic Fourier extension identities for submanifolds of $${\mathbb {R}}^n$$	9
The homology of the Brauer algebras	9
Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials	8
Deformation cohomology of Schur–Weyl categories	8
Galois closures and elementary components of Hilbert schemes of points	8
Vanishing theorems of Kodaira type for Witt canonical sheaves	8
Patterns of resemblance and Bachmann-Howard fixed points	7
P-flag spaces and incidence stratifications	7
$$\textbf{GL}$$-algebras in positive characteristic I: the exterior algebra	7
An Erdős–Kac law for local solubility in families of varieties	7
Braided Picard groups and graded extensions of braided tensor categories	7

Oriented matroids from triangulations of products of simplices	7
On the physical rigidity of Frenkel-Gross connection	7
Farber’s conjecture for planar graphs	6
Quantitative rational approximation on spheres	6
On the affine Hecke category for $$SL_3$$	6
Degenerating products of flag varieties and applications to the Breuil–Mézard conjecture	6
Stable homology isomorphisms for the partition and Jones annular algebras	6
Deformations of symplectic singularities and orbit method for semisimple Lie algebras	6
Mutations of noncommutative crepant resolutions in geometric invariant theory	6
Pole dynamics and an integral of motion for multiple SLE(0)	6
Holonomic functions and prehomogeneous spaces	6
Divisors and curves on logarithmic mapping spaces	6
Existential uniform p-adic integration and descent for integrability and largest poles	6
Symplectic topology and ideal-valued measures	6
Étale cohomology of rank one $$\ell $$-adic local systems in positive characteristic	6
Fitting ideals of p-ramified Iwasawa modules over totally real fields	6
Multiplicative structures and random walks in o-minimal groups	5
Proof of a conjectured Möbius inversion formula for Grothendieck polynomials	5
$${\mathcal {W}}$$-algebras and Whittaker categories	5
On tropical intersection theory	5
Coxeter quiver representations in fusion categories and Gabriel’s theorem	5
On the permanent of a random symmetric matrix	5
Quartic surfaces up to volume preserving equivalence	5
On compactifications of $$\mathcal {M}_{g,n}$$ with colliding markings	5
Minuscule reverse plane partitions via quiver representations	5
Lipschitz geometry of surface germs in $${\mathbb {R}}^4$$: metric knots	5
Knotted toroidal sets, attractors and incompressible surfaces	5
Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group	5
Finite presentation of the tame fundamental group	5
Remarks on the derived center of small quantum groups	5
Crystallinity of rigid flat connections revisited	5
Generic density of geodesic nets	5
Gromov–Witten theory of K3 surfaces and a Kaneko–Zagier equation for Jacobi forms	5
The birational geometry of $$\overline{{\mathcal {R}}}_{g,2}$$ and Prym-canonical divisorial strata	5
PROBs and perverse sheaves I: symmetric products	5
Double bubble plumbings and two-curve flops	4
Categorical Milnor squares and K-theory of algebraic stacks	4
Euler characteristic of stable envelopes	4
The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms	4
A vanishing conjecture: the $${{\text {GL}}}_n$$ case	4
A proof-theoretic metatheorem for nonlinear semigroups generated by an accretive operator and applications	4
The basepoint-freeness threshold of a very general abelian surface	4
Mod-2 Hecke algebras of level 3 and 5	4
On the topology of the moduli of tropical unramified p-covers	4
Hypersimplicial subdivisions	4
On the big quantum cohomology of coadjoint varieties	4
Bigrassmannian permutations and Verma modules	4
Elliptic Ruijsenaars difference operators, symmetric polynomials, and Wess–Zumino–Witten fusion rings	4
From Kajihara’s transformation formula to deformed Macdonald–Ruijsenaars and Noumi–Sano operators	4
The harmonic polytope	4

Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism	4
Stable characters from permutation patterns	3
Schottky spaces and universal Mumford curves over $${\mathbb {Z}}$$	3
Row-column mirror symmetry for colored torus knot homology	3
Unlikely intersections of curves with algebraic subgroups in semiabelian varieties	3
Moduli of relative stable maps to $$\mathbb {P}^1$$: cut-and-paste invariants	3
Categorical primitive forms of Calabi–Yau $$A_\infty $$-categories with semi-simple cohomology	3
Algebraic foliations and derived geometry: the Riemann–Hilbert correspondence	3
Lagrangian cobordism and shadow distance in Tamarkin category	3
Robertson’s conjecture and universal finite generation in the homology of graph braid groups	3
Heaps, crystals, and preprojective algebra modules	3
PBWD bases and shuffle algebra realizations for $$U_{\varvec{v}}(L\mathfrak {sl}_n), U_{{\varvec{v}}_1,{\varvec{v}}_2}(L\mathfrak {sl}_n), U_{\varvec{v}}(L\mathfrak {sl}(m\|n))$$ and their integral for	3
Quantum parameters of the geometric Langlands theory	3
Parabolic recursions for Kazhdan–Lusztig polynomials and the hypercube decomposition	3
Hall Lie algebras of toric monoid schemes	3
Topologically and rationally slice knots	3
Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests	3
On V-filtration, Hodge filtration and Fourier transform	3
The $${\mathcal {H}}$$-tautological ring	3
The distribution of Weierstrass points on a tropical curve	3
Algebraic capacities	3
Multi-level loop equations for $$\beta $$-corners processes	3
Exceptional sequences in the derived category of a gentle algebra	2
Relative braid group symmetries on $$\imath $$quantum groups of Kac–Moody type	2
Cyclotomic expansions for $$\mathfrak {gl}_N$$ link invariants via interpolation Macdonald polynomials	2
The fundamental theorem of finite semidistributive lattices	2
Positivity of tropical multidegrees	2
The (almost) integral Chow ring of $$\widetilde{{\mathcal {M}}}_3^7$$	2
Maximum generalized Hasse–Witt invariants and their applications to anabelian geometry	2
Cut-and-join operators in cohomological field theory and topological recursion	2
On rank in algebraic closure	2
Quantifying separability in limit groups via representations	2
Quantum traces and embeddings of stated skein algebras into quantum tori	2
P-associahedra	2
Endoscopy for affine Hecke categories	2
Well ordering principles for iterated $$\Pi ^1_1$$-comprehension	2
On groups interpretable in various valued fields	2
On the rate of convergence of continued fraction statistics of random rationals	2
Local Langlands correspondence for even orthogonal groups via theta lifts	2
Higher rank Clifford indices of curves on a K3 surface	2
On the P = W conjecture for $$SL_n$$	2
Castelnuovo–Mumford regularity of matrix Schubert varieties	2
Extremality and rigidity for scalar curvature in dimension four	2
Relative poset polytopes and semitoric degenerations	2
On the local-global principle for isogenies of abelian surfaces	2
$$\text {SL}_{2}$$ tilting modules in the mixed case	2
Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces	2
Poisson geometry and representations of PI 4-dimensional Sklyanin algebras	2
Stable pairs with a twist and gluing morphisms for moduli of surfaces	2
Symplectic groups over noncommutative algebras	2
Beilinson–Drinfeld Schubert varieties of parahoric group schemes and twisted global Demazure modules	2
Kripke-Joyal forcing for type theory and uniform fibrations	2
Sheaves of maximal intersection and multiplicities of stable log maps	2
Counting orbits of certain infinitely generated non-sharp discontinuous groups for the anti-de Sitter space	2
Koszul modules with vanishing resonance in algebraic geometry	2
The $$\nu ^+$$-equivalence classes of genus one knots	2
Davydov–Yetter cohomology and relative homological algebra	2
Motivic integration and birational invariance of BCOV invariants	2
Equal rank local theta correspondence as a strong Morita equivalence	2
A taxonomy of twists of supersymmetric Yang–Mills theory	2
Families of relatively exact Lagrangians, free loop spaces and generalised homology	2
The minimal model of Rota-Baxter operad with arbitrary weight	2
A new Weyl group action related to the quasi-classical Gelfand–Graev action	2
The relative Whitney trick and its applications	2
The Cuntz semigroup of a ring	2
Le Potier’s strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces	2
Rings of differentiable semialgebraic functions	2
Khovanov homology via 1-tangle diagrams in the annulus	2
Toric Sasaki–Einstein metrics with conical singularities	2
Euphotic representations and rigid automorphic data	2
Weil positivity and trace formula the archimedean place	2
3-Dimensional TQFTs from non-semisimple modular categories	2
The reductive Borel–Serre compactification as a model for unstable algebraic K-theory	2
A tale of two shuffle algebras	2
Primitive ideals in affinoid enveloping algebras of semisimple Lie algebras	2
Equivariant Burnside groups and representation theory	2
Cluster realizations of Weyl groups and higher Teichmüller theory	2
Special representatives of complexified Kähler classes	2