OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Proceedings of the Cambridge Philosophical Society is 1. 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 2020-11-01 to 2024-11-01.)

Article	Citations
An update on the sum-product problem	8
Parabolic subgroups of large-type Artin groups	7
Homotopic distance between maps	6
Combinatorial anti-concentration inequalities, with applications	6
Redei reciprocity, governing fields and negative Pell	5
Prime geodesics and averages of the Zagier L-series	5
Doubly pointed trisection diagrams and surgery on 2-knots	5
Boxes, extended boxes and sets of positive upper density in the Euclidean space	5
Some remarks on the Zarankiewicz problem	4
The polarization constant of finite dimensional complex spaces is one	4
-graded identities of the Lie algebras in characteristic 2	4
Conformally invariant complete metrics	4
Holomorphic one-forms, fibrations over the circle, and characteristic numbers of Kähler manifolds	4
Optimal transportation and stationary measures for iterated function systems	4
Random symmetric matrices: rank distribution and irreducibility of the characteristic polynomial	4
A cancellation theorem for modules over integral group rings	4
Tevelev degrees and Hurwitz moduli spaces	4
Perverse Leray filtration and specialisation with applications to the Hitchin morphism	3
Folding-like techniques for CAT(0) cube complexes	3
Turán theorems for unavoidable patterns	3
Higher rank motivic Donaldson–Thomas invariants of via wall-crossing, and asymptotics	3
Intervals of s-torsion pairs in extriangulated categories with negative first extensions	3
Counting curves on Hirzebruch surfaces: tropical geometry and the Fock space	3
Joint Poisson distribution of prime factors in sets	3
The factorisation property ofl^∞(X_k)	3

Conformal geodesics on gravitational instantons	3
Towards affinoid Duflo’s theorem I: twisted differential operators	2
Algebraic cycles and intersections of three quadrics	2
Congruences for critical values of higher derivatives of twisted Hasse–Weil L-functions, III	2
Prime divisors and the number of conjugacy classes of finite groups	2
Combinatorial proofs of two theorems of Lutz and Stull	2
The Log Product Formula in Quantum K-theory	2
A positive proportion of locally soluble quartic Thue equations are globally insoluble	2
Counting and equidistribution in quaternionic Heisenberg groups	2
Studies of distance one surgeries on the lens space L(p, 1)	2
Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions	2
Directions in orbits of geometrically finite hyperbolic subgroups	2
Number fields without universal quadratic forms of small rank exist in most degrees	2
Primitive prime divisors in the critical orbits of one-parameter families of rational polynomials	2
A min-max characterization of Zoll Riemannian metrics	2
Most numbers are not normal	2
Trees of tangles in infinite separation systems	2
Eigenfunctions of the Fourier transform with specified zeros	2
Zeros of the Epstein zeta function to the right of the critical line	1
Lower bounds on the maximal number of rational points on curves over finite fields	1
Sign changes of fourier coefficients of holomorphic cusp forms at norm form arguments	1
Equations of mirrors to log Calabi–Yau pairs via the heart of canonical wall structures	1
Topological characterisation of rational maps with Siegel disks	1
Categories of graphs for operadic structures	1
Minimising CM degree and slope stability of projective varieties	1
Zeros, chaotic ratios and the computational complexity of approximating the independence polynomial	1
Moduli of wild Higgs bundles on with -actions	1
Non-Orientable Lagrangian Fillings of Legendrian Knots	1
Counting H-free orientations of graphs	1
Compact groups with a set of positive Haar measure satisfying a nilpotent law	1
Equivariant Heegaard genus of reducible 3-manifolds	1
Decoupling Decorations on Moduli Spaces of Manifolds	1
Co-t-structures, cotilting and cotorsion pairs	1
Null-homotopic knots have Property R	1
Lower central series, surface braid groups, surjections and permutations	1
Lower bounds on Hilbert–Kunz multiplicities and maximal F-signatures	1
Complex multiplication and Noether–Lefschetz loci of the twistor space of a K3 surface	1
Sphere tangencies, line incidences and Lie’s line-sphere correspondence	1
Uniform bounds for norms of theta series and arithmetic applications	1
An algebraic approach to a quartic analogue of the Kontsevich model	1
Equidistribution of exponential sums indexed by a subgroup of fixed cardinality	1
Divisors computing minimal log discrepancies on lc surfaces	1
Distinguishing endpoint sets from Erdős space	1
On the values taken by slice torus invariants	1
Finite quasisimple groups acting on rationally connected threefolds	1
Wild Galois representations: a family of hyperelliptic curves with large inertia image	1
A variant of the Corners theorem	1
On the profinite rigidity of lattices in higher rank Lie groups	1
Intermediate-scale statistics for real-valued lacunary sequences	1
Step roots of Littlewood polynomials and the extrema of functions in the Takagi class	1

Relative Richardson varieties	1
Solving equations in dense Sidon sets	1
Non-classical polynomials and the inverse theorem	1
The BNSR-invariants of the Lodha–Moore groups, and an exotic simple group of type	1
On the size of the maximum of incomplete Kloosterman sums	1
Fourier duality in the Brascamp–Lieb inequality	1
A note on the four-dimensional clasp number of knots	1
On the cohomology of Kobayashi’s plus/minus norm groups and applications	1
Dynamical and arithmetic degrees for random iterations of maps on projective space	1
A lower bound for Cusick’s conjecture on the digits of n + t	1
The sup-norm problem beyond the newform	1
Corrigendum: towards an understanding of ramified extensions of structured ring spectra	1
Chief factors in Polish groups	1
Centers and Azumaya loci for finite W-algebras in positive characteristic	1
Intersection theorems for finite general linear groups	1
Positive lower density for prime divisors of generic linear recurrences	1
Finite point configurations in products of thick Cantor sets and a robust nonlinear Newhouse Gap Lemma	1
Small non-Leighton two-complexes	1