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 2021-07-01 to 2025-07-01.)

Article	Citations
Characteristic classes for families of bundles	22
Colored vertex models and Iwahori Whittaker functions	18
Langlands duality and Poisson–Lie duality via cluster theory and tropicalization	17
Independence of algebraic monodromy groups in compatible systems	17
Optimal asymptotic of the J functional with respect to the $$d_1$$ metric	16
A sharp bound for hypergeometric rank in dimension three	15
Knot reversal acts non-trivially on the concordance group of topologically slice knots	15
Tomographic Fourier extension identities for submanifolds of $${\mathbb {R}}^n$$	11
JSJ decompositions of knot exteriors, Dehn surgery and the L-space conjecture	11
Spectrum of p-adic linear differential equations I: the shape of the spectrum	11
A general Chevalley formula for semi-infinite flag manifolds and quantum K-theory	10
The homology of the Brauer algebras	10
An affine generalization of evacuation	10
$$\textbf{GL}$$-algebras in positive characteristic I: the exterior algebra	9
Galois closures and elementary components of Hilbert schemes of points	9
Patterns of resemblance and Bachmann-Howard fixed points	9
Deformation cohomology of Schur–Weyl categories	9
Vanishing theorems of Kodaira type for Witt canonical sheaves	8
P-flag spaces and incidence stratifications	8
Braided Picard groups and graded extensions of braided tensor categories	8
On the physical rigidity of Frenkel-Gross connection	8
Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials	8
Symplectic topology and ideal-valued measures	7
Oriented matroids from triangulations of products of simplices	7
On the affine Hecke category for $$SL_3$$	7

Mutations of noncommutative crepant resolutions in geometric invariant theory	7
Existential uniform p-adic integration and descent for integrability and largest poles	7
Deformations of symplectic singularities and orbit method for semisimple Lie algebras	7
Quantitative rational approximation on spheres	7
Farber’s conjecture for planar graphs	7
Holonomic functions and prehomogeneous spaces	6
Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group	6
Minuscule reverse plane partitions via quiver representations	6
Generic density of geodesic nets	6
Fitting ideals of p-ramified Iwasawa modules over totally real fields	6
Pole dynamics and an integral of motion for multiple SLE(0)	6
Gromov–Witten theory of K3 surfaces and a Kaneko–Zagier equation for Jacobi forms	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
Divisors and curves on logarithmic mapping spaces	6
On tropical intersection theory	6
Remarks on the derived center of small quantum groups	5
Knotted toroidal sets, attractors and incompressible surfaces	5
PROBs and perverse sheaves I: symmetric products	5
Coxeter quiver representations in fusion categories and Gabriel’s theorem	5
Multiplicative structures and random walks in o-minimal groups	5
The basepoint-freeness threshold of a very general abelian surface	5
The birational geometry of $$\overline{{\mathcal {R}}}_{g,2}$$ and Prym-canonical divisorial strata	5
On the analyticity of the nonlinear Fourier transform of the Benjamin-Ono equation on $$\mathbb {T}$$	5
On the permanent of a random symmetric matrix	5
Quartic surfaces up to volume preserving equivalence	5
Crystallinity of rigid flat connections revisited	5
Lipschitz geometry of surface germs in $${\mathbb {R}}^4$$: metric knots	5
Finite presentation of the tame fundamental group	5
Arboreal tensor categories	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
On V-filtration, Hodge filtration and Fourier transform	4
Proof of a conjectured Möbius inversion formula for Grothendieck polynomials	4
Categorical Milnor squares and K-theory of algebraic stacks	4
Double bubble plumbings and two-curve flops	4
The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms	4
The harmonic polytope	4
On compactifications of $$\mathcal {M}_{g,n}$$ with colliding markings	4
Euler characteristic of stable envelopes	4
Mod-2 Hecke algebras of level 3 and 5	4
Hypersimplicial subdivisions	4
On the topology of the moduli of tropical unramified p-covers	4
Moduli of relative stable maps to $$\mathbb {P}^1$$: cut-and-paste invariants	3
Topologically and rationally slice knots	3
The distribution of Weierstrass points on a tropical curve	3
On the big quantum cohomology of coadjoint varieties	3
A vanishing conjecture: the $${{\text {GL}}}_n$$ case	3
Row-column mirror symmetry for colored torus knot homology	3
Lagrangian cobordism and shadow distance in Tamarkin category	3

Hall Lie algebras of toric monoid schemes	3
Schottky spaces and universal Mumford curves over $${\mathbb {Z}}$$	3
Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism	3
Top-degree rational cohomology in the symplectic group of a number ring	3
Heaps, crystals, and preprojective algebra modules	3
Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests	3
Stable characters from permutation patterns	3
Algebraic capacities	3
The $${\mathcal {H}}$$-tautological ring	3
A proof-theoretic metatheorem for nonlinear semigroups generated by an accretive operator and applications	3
Robertson’s conjecture and universal finite generation in the homology of graph braid groups	3
Unlikely intersections of curves with algebraic subgroups in semiabelian varieties	3
Cyclotomic expansions for $$\mathfrak {gl}_N$$ link invariants via interpolation Macdonald polynomials	2
On the P = W conjecture for $$SL_n$$	2
Fusion-stable structures on triangulated categories	2
Extremality and rigidity for scalar curvature in dimension four	2
Le Potier’s strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces	2
The Cuntz semigroup of a ring	2
Well ordering principles for iterated $$\Pi ^1_1$$-comprehension	2
Equal rank local theta correspondence as a strong Morita equivalence	2
Primitive ideals in affinoid enveloping algebras of semisimple Lie algebras	2
Maximum generalized Hasse–Witt invariants and their applications to anabelian geometry	2
On the rate of convergence of continued fraction statistics of random rationals	2
On rank in algebraic closure	2
Euphotic representations and rigid automorphic data	2
Quantifying separability in limit groups via representations	2
Holomorphic forms and non-tautological cycles on moduli spaces of curves	2
P-associahedra	2
On combinatorial invariance of parabolic Kazhdan–Lusztig polynomials	2
Motivic integration and birational invariance of BCOV invariants	2
On groups interpretable in various valued fields	2
On tori periods of Weil representations of unitary groups	2
Equivariant Burnside groups and representation theory	2
Relative poset polytopes and semitoric degenerations	2
Duality via convolution of $$\mathcal {W}$$-algebras	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
Quantum parameters of the geometric Langlands theory	2
The (almost) integral Chow ring of $$\widetilde{{\mathcal {M}}}_3^7$$	2
Algebraic foliations and derived geometry: the Riemann–Hilbert correspondence	2
Special representatives of complexified Kähler classes	2
Categorical primitive forms of Calabi–Yau $$A_\infty $$-categories with semi-simple cohomology	2
Abelianisation of logarithmic $$\mathfrak {sl}_2$$-connections	2
The $$\nu ^+$$-equivalence classes of genus one knots	2
On the local-global principle for isogenies of abelian surfaces	2
Symplectic groups over noncommutative algebras	2
A taxonomy of twists of supersymmetric Yang–Mills theory	2
Kripke-Joyal forcing for type theory and uniform fibrations	2
Koszul modules with vanishing resonance in algebraic geometry	2
Local Langlands correspondence for even orthogonal groups via theta lifts	2
Endoscopy for affine Hecke categories	2
Castelnuovo–Mumford regularity of matrix Schubert varieties	2
Davydov–Yetter cohomology and relative homological algebra	2
The minimal model of Rota-Baxter operad with arbitrary weight	2
Families of relatively exact Lagrangians, free loop spaces and generalised homology	2
Positivity of tropical multidegrees	2
Relative braid group symmetries on $$\imath $$quantum groups of Kac–Moody type	2
Parabolic recursions for Kazhdan–Lusztig polynomials and the hypercube decomposition	2
Counting orbits of certain infinitely generated non-sharp discontinuous groups for the anti-de Sitter space	2
Multi-level loop equations for $$\beta $$-corners processes	2
Cut-and-join operators in cohomological field theory and topological recursion	2
Exceptional sequences in the derived category of a gentle algebra	2
Rings of differentiable semialgebraic functions	2
Poisson geometry and representations of PI 4-dimensional Sklyanin algebras	2
Khovanov homology via 1-tangle diagrams in the annulus	2
Beilinson–Drinfeld Schubert varieties of parahoric group schemes and twisted global Demazure modules	2
Toric Sasaki–Einstein metrics with conical singularities	2
3-Dimensional TQFTs from non-semisimple modular categories	2
Weil positivity and trace formula the archimedean place	2
Quantum traces and embeddings of stated skein algebras into quantum tori	2
A tale of two shuffle algebras	2
The reductive Borel–Serre compactification as a model for unstable algebraic K-theory	2
The relative Whitney trick and its applications	2
Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras	2