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 2021-10-01 to 2025-10-01.)

Article	Citations
Characteristic classes for families of bundles	17
Optimal asymptotic of the J functional with respect to the $$d_1$$ metric	17
Knot reversal acts non-trivially on the concordance group of topologically slice knots	16
A sharp bound for hypergeometric rank in dimension three	14
Spectrum of p-adic linear differential equations I: the shape of the spectrum	13
Lagrangian split tori in $$S^2 \times S^2$$ and billiards	12
Tomographic Fourier extension identities for submanifolds of $${\mathbb {R}}^n$$	12
Colored vertex models and Iwahori Whittaker functions	11
JSJ decompositions of knot exteriors, Dehn surgery and the L-space conjecture	11
A general Chevalley formula for semi-infinite flag manifolds and quantum K-theory	10
Deformation cohomology of Schur–Weyl categories	10
$$\textbf{GL}$$-algebras in positive characteristic I: the exterior algebra	9
Galois closures and elementary components of Hilbert schemes of points	9
Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials	9
On the physical rigidity of Frenkel-Gross connection	8
Quantitative rational approximation on spheres	8
Vanishing theorems of Kodaira type for Witt canonical sheaves	8
Mutations of noncommutative crepant resolutions in geometric invariant theory	8
Existential uniform p-adic integration and descent for integrability and largest poles	8
Patterns of resemblance and Bachmann-Howard fixed points	8
Oriented matroids from triangulations of products of simplices	8
An affine generalization of evacuation	8
Pole dynamics and an integral of motion for multiple SLE(0)	7
On the affine Hecke category for $$SL_3$$	7
Holonomic functions and prehomogeneous spaces	7

The Synthetic Hilbert Additive Group Scheme	7
Symplectic topology and ideal-valued measures	7
Degenerating products of flag varieties and applications to the Breuil–Mézard conjecture	7
Deformations of symplectic singularities and orbit method for semisimple Lie algebras	7
Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers	6
Stable homology isomorphisms for the partition and Jones annular algebras	6
Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group	6
Generic density of geodesic nets	6
Minuscule reverse plane partitions via quiver representations	6
Fitting ideals of p-ramified Iwasawa modules over totally real fields	6
Divisors and curves on logarithmic mapping spaces	6
On tropical intersection theory	6
The birational geometry of $$\overline{{\mathcal {R}}}_{g,2}$$ and Prym-canonical divisorial strata	5
PROBs and perverse sheaves I: symmetric products	5
Finite presentation of the tame fundamental group	5
Arboreal tensor categories	5
Knotted toroidal sets, attractors and incompressible surfaces	5
Coxeter quiver representations in fusion categories and Gabriel’s theorem	5
Multiplicative structures and random walks in o-minimal groups	5
On the permanent of a random symmetric matrix	5
Lipschitz geometry of surface germs in $${\mathbb {R}}^4$$: metric knots	5
On the analyticity of the nonlinear Fourier transform of the Benjamin-Ono equation on $$\mathbb {T}$$	5
Crystallinity of rigid flat connections revisited	5
Quartic surfaces up to volume preserving equivalence	5
Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism	4
The basepoint-freeness threshold of a very general abelian surface	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 Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms	4
On the big quantum cohomology of coadjoint varieties	4
Mod-2 Hecke algebras of level 3 and 5	4
On the topology of the moduli of tropical unramified p-covers	4
Proof of a conjectured Möbius inversion formula for Grothendieck polynomials	4
Euler characteristic of stable envelopes	4
A generalization of Voevodsky’s reconstruction theorem of schemes from their étale topoi	4
Hypersimplicial subdivisions	4
A vanishing conjecture: the $${{\text {GL}}}_n$$ case	4
On compactifications of $$\mathcal {M}_{g,n}$$ with colliding markings	4
Drinfeld rational fractions for affine Kac–Moody quantum symmetric pairs	4
Double bubble plumbings and two-curve flops	4
Categorical Milnor squares and K-theory of algebraic stacks	4
On V-filtration, Hodge filtration and Fourier transform	4
Non-unitary Wightman CFTs and non-unitary vertex algebras	3
Lagrangian cobordism and shadow distance in Tamarkin category	3
Topologically and rationally slice knots	3
Quantum parameters of the geometric Langlands theory	3
The distribution of Weierstrass points on a tropical curve	3
Hall Lie algebras of toric monoid schemes	3
Algebraic foliations and derived geometry: the Riemann–Hilbert correspondence	3
Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests	3

Top-degree rational cohomology in the symplectic group of a number ring	3
Moduli of relative stable maps to $$\mathbb {P}^1$$: cut-and-paste invariants	3
Le Potier’s strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces	3
Categorical primitive forms of Calabi–Yau $$A_\infty $$-categories with semi-simple cohomology	3
Multi-level loop equations for $$\beta $$-corners processes	3
Unlikely intersections of curves with algebraic subgroups in semiabelian varieties	3
Heaps, crystals, and preprojective algebra modules	3
Robertson’s conjecture and universal finite generation in the homology of graph braid groups	3
Infinitesimal characters in arithmetic families	3
Flat Generalized Connections on Courant Algebroids	3
Schottky spaces and universal Mumford curves over $${\mathbb {Z}}$$	3
Fusion-stable structures on triangulated categories	3
Row-column mirror symmetry for colored torus knot homology	3
Parabolic recursions for Kazhdan–Lusztig polynomials and the hypercube decomposition	3
The $${\mathcal {H}}$$-tautological ring	3
Algebraic capacities	3
A proof-theoretic metatheorem for nonlinear semigroups generated by an accretive operator and applications	3
Virtual Cartier divisors and blow-ups	2
Relative braid group symmetries on $$\imath $$quantum groups of Kac–Moody type	2
The minimal model of Rota-Baxter operad with arbitrary weight	2
Orthosymplectic Feigin–Semikhatov duality	2
On tori periods of Weil representations of unitary groups	2
On the local-global principle for isogenies of abelian surfaces	2
The relative Whitney trick and its applications	2
Equal rank local theta correspondence as a strong Morita equivalence	2
Counting orbits of certain infinitely generated non-sharp discontinuous groups for the anti-de Sitter space	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
Khovanov homology via 1-tangle diagrams in the annulus	2
The $$\nu ^+$$-equivalence classes of genus one knots	2
On rank in algebraic closure	2
Primitive ideals in affinoid enveloping algebras of semisimple Lie algebras	2
On the P = W conjecture for $$SL_n$$	2
Endoscopy for affine Hecke categories	2
Lefschetz fibrations on cotangent bundles and some plumbings	2
q-Whittaker functions, finite fields, and Jordan forms	2
A tale of two shuffle algebras	2
Castelnuovo–Mumford regularity of matrix Schubert varieties	2
Maximum generalized Hasse–Witt invariants and their applications to anabelian geometry	2
Jet functors in noncommutative geometry	2
Extremality and rigidity for scalar curvature in dimension four	2
Exceptional sequences in the derived category of a gentle algebra	2
The (almost) integral Chow ring of $$\widetilde{{\mathcal {M}}}_3^7$$	2
Positivity of tropical multidegrees	2
Special representatives of complexified Kähler classes	2
Beilinson–Drinfeld Schubert varieties of parahoric group schemes and twisted global Demazure modules	2
Duality via convolution of $$\mathcal {W}$$-algebras	2
Koszul modules with vanishing resonance in algebraic geometry	2
Symplectic groups over noncommutative algebras	2
Holomorphic forms and non-tautological cycles on moduli spaces of curves	2
Toric Sasaki–Einstein metrics with conical singularities	2
Motivic integration and birational invariance of BCOV invariants	2
On groups interpretable in various valued fields	2
The reductive Borel–Serre compactification as a model for unstable algebraic K-theory	2
The Cuntz semigroup of a ring	2
Euphotic representations and rigid automorphic data	2
Equivariant Burnside groups and representation theory	2
Relative poset polytopes and semitoric degenerations	2
Well ordering principles for iterated $$\Pi ^1_1$$-comprehension	2
On combinatorial invariance of parabolic Kazhdan–Lusztig polynomials	2
Rings of differentiable semialgebraic functions	2
Cyclotomic expansions for $$\mathfrak {gl}_N$$ link invariants via interpolation Macdonald polynomials	2
Cut-and-join operators in cohomological field theory and topological recursion	2
$$\text {SL}_{2}$$ tilting modules in the mixed case	2
A new spin on Hurwitz theory and ELSV via theta characteristics	2
Quantifying separability in limit groups via representations	2
On the rate of convergence of continued fraction statistics of random rationals	2
P-associahedra	2
Quantum traces and embeddings of stated skein algebras into quantum tori	2
Kripke-Joyal forcing for type theory and uniform fibrations	2
A taxonomy of twists of supersymmetric Yang–Mills theory	2
Davydov–Yetter cohomology and relative homological algebra	2
3-Dimensional TQFTs from non-semisimple modular categories	2
Families of relatively exact Lagrangians, free loop spaces and generalised homology	2