OOIR: Observatory of International Research

Papers

(The TQCC of Algebra & Number Theory 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 2020-11-01 to 2024-11-01.)

Article	Citations
Sporadic cubic torsion	20
Base sizes for primitive groups with soluble stabilisers	14
A proof of Perrin-Riou’s Heegner point main conjecture	13
Galois representations attached to elliptic curves with complex multiplication	9
Algorithms for orbit closure separation for invariants and semi-invariants of matrices	8
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity	8
Cohomology of cluster varieties, I: Locally acyclic case	8
Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan	7
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra	7
Torsion points on elliptic curves over number fields of small degree	7
Statistics of the first Galois cohomology group : A refinement of Malle’s conjecture	7
Curtis homomorphisms and the integral Bernstein center for GLn	7
On the commuting probability of p-elements in a finite group	6
Arithmetic exponent pairs for algebraic trace functions and applications	6
Moduli spaces of symmetric cubic fourfolds and locally symmetric varieties	6
Skeletons of Prym varieties and Brill–Noether theory	6
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)	6
Epsilon dichotomy for linear models	6
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces	5
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces	5
Uniform bounds for the number of rational points on varieties over global fields	5
Chebyshev’s bias in dihedral and generalized quaternion Galois groups	5
Lower bounds for discrete negative moments of the Riemann zeta function	5
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula	4
McKay bijections for symmetric and alternating groups	4

Torsion orders of Fano hypersurfaces	4
On moment map and bigness of tangent bundles of G-varieties	4
Remarks on generating series for special cycles on orthogonal Shimura varieties	4
Functional transcendence for the unipotent Albanese map	4
Reduction type of smooth plane quartics	4
On Héthelyi–Külshammer’s conjecture for principal blocks	4
The structure of Frobenius kernels for automorphism group schemes	4
The geometric average size of Selmer groups over function fields	4
The F-rational signature and drops in the Hilbert–Kunz multiplicity	4
The cancellation of projective modules of rank 2 with a trivial determinant	3
p-adic estimates of exponential sums on curves	3
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata	3
The Hodge ring of varieties in positive characteristic	3
Harmonic theta series and the Kodaira dimension of ?6	3
Optimal lifting for the projective action of SL3(ℤ)	3
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp	3
Friezes satisfying higher SLk-determinants	3
The integral monodromy of isolated quasihomogeneous singularities	3
Manin’s conjecture and the Fujita invariant of finite covers	3
Greatest common divisors of integral points of numerically equivalent divisors	3
Precobordism and cobordism	3
Patching and multiplicity 2k for Shimura curves	3
The mean values of cubic L-functions over function fields	3
Higher frames and G-displays	3
Quadratic relations between Bessel moments	3
Monoidal abelian envelopes and a conjecture of Benson and Etingof	3
Modular compactifications of ℳ2,n with Gorenstein curves	3
Pathological behavior of arithmetic invariants of unipotent groups	3
Some refinements of the Deligne–Illusie theorem	2
Categorifications of rational Hilbert series and characters of FSop modules	2
Quadratic points on intersections of two quadrics	2
Generating series of a new class of orthogonal Shimura varieties	2
A quaternionic Saito–Kurokawa lift and cusp forms on G2	2
Topological spectrum and perfectoid Tate rings	2
On the Breuil–Schneider conjecture : generic case	2
The arithmetic Kuznetsov formula on GL(3), II: The general case	2
Differences between perfect powers: prime power gaps	2
On the distribution of lattice points on hyperbolic circles	2
Differential operators mod p : analytic continuation and consequences	2
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields	2
Classification of subbundles on the Fargues–Fontaine curve	2
On some families of Gushel–Mukai fourfolds	2
On odd-dimensional modular tensor categories	2
Motivic Euler products in motivic statistics	2
Roth’s Theorem over arithmetic function fields	2
The G-stable rank for tensors and the cap set problem	2
Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families	2
On unipotent radicals of motivic Galois groups	2
Birational geometry of moduli spaces of configurations of points on the line	2
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3	2

Equivariant Grothendieck–Riemann–Roch and localization in operational K-theory	2
Multiplicities and Betti numbers in local algebra via lim Ulrich points	2
An analogue of the Grothendieck–Springer resolution for symmetric spaces	2
On the Grothendieck-Serre conjecture about principal bundles and its generalizations	2
Weakly special test configurations of log canonical Fano varieties	2
The Navarro conjecture for the alternating groups	2
Vinogradov’s theorem with Fouvry–Iwaniec primes	2
An algebraic framework for noncommutative bundles with homogeneous fibres	2
Stability of normal bundles of space curves	2
Automorphisms of Cartan modular curves of prime and composite level	2
Supersolvable descent for rational points	2
The Erdős–Selfridge problem with square-free moduli	2
Discriminant groups of wild cyclic quotient singularities	2
Support varieties and modules of finite projective dimension for modular Lie superalgebras	2
Multiplicative preprojective algebras are 2-Calabi–Yau	2
Maximizing Sudler products via Ostrowski expansions and cotangent sums	2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves	2
Experiments on the Brauer map in high codimension	2