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 2020-05-01 to 2024-05-01.)

Article	Citations
Sporadic cubic torsion	19
Base sizes for primitive groups with soluble stabilisers	14
A proof of Perrin-Riou’s Heegner point main conjecture	13
Elliptic curves over totally real cubic fields are modular	12
Iwasawa main conjecture for Rankin–Selberg p-adic L-functions	12
Burch ideals and Burch rings	12
The basepoint-freeness threshold and syzygies of abelian varieties	10
Motivic Gauss–Bonnet formulas	10
Quadratic Chabauty for (bi)elliptic curves and Kim’s conjecture	9
Galois action on the principal block and cyclic Sylow subgroups	9
Iterated local cohomology groups and Lyubeznik numbers for determinantal rings	8
The dimension growth conjecture, polynomial in the degree and without logarithmic factors	8
Galois representations attached to elliptic curves with complex multiplication	8
Algorithms for orbit closure separation for invariants and semi-invariants of matrices	8
Sous-groupe de Brauer invariant et obstruction de descente itérée	7
Uniform Yomdin–Gromov parametrizations and points of bounded height in valued fields	7
Curtis homomorphisms and the integral Bernstein center for GLn	7
On iterated product sets with shifts, II	6
Epsilon dichotomy for linear models	6
Torsion points on elliptic curves over number fields of small degree	6
Nonvanishing of hyperelliptic zeta functions over finite fields	6
p-adic distribution of CM points and Hecke orbits, I : Convergence towards the Gauss point	6
Moduli spaces of symmetric cubic fourfolds and locally symmetric varieties	6
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra	6
The Brauer group of the moduli stack of elliptic curves	6

Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity	6
Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan	5
Roots of L-functions of characters over function fields, generic linear independence and biases	5
Arithmetic exponent pairs for algebraic trace functions and applications	5
On the commuting probability of p-elements in a finite group	5
Moments of quadratic twists of elliptic curve L-functions over function fields	5
Chebyshev’s bias in dihedral and generalized quaternion Galois groups	5
Modular invariants for real quadratic fields and Kloosterman sums	5
The distribution of p-torsion in degree p cyclic fields	5
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces	5
Classification of some vertex operator algebras of rank 3	5
Statistics of the first Galois cohomology group : A refinement of Malle’s conjecture	5
On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic, II	4
Generalized Schur algebras	4
Generically free representations, I: large representations	4
Lower bounds for discrete negative moments of the Riemann zeta function	4
Invertible functions on nonarchimedean symmetric spaces	4
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula	4
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)	4
Toroidal orbifolds, destackification, and Kummer blowings up	4
The geometric average size of Selmer groups over function fields	4
Mixed Tate motives and the unit equation II	4
Abelian extensions in dynamical Galois theory	4
McKay bijections for symmetric and alternating groups	4
Torsion orders of Fano hypersurfaces	4
Cohomology of cluster varieties, I: Locally acyclic case	4
Skeletons of Prym varieties and Brill–Noether theory	4
a-numbers of curves in Artin–Schreier covers	3
Greatest common divisors of integral points of numerically equivalent divisors	3
The Hodge ring of varieties in positive characteristic	3
Harmonic theta series and the Kodaira dimension of ?6	3
Patching and multiplicity 2k for Shimura curves	3
Modular compactifications of ℳ2,n with Gorenstein curves	3
Reduction type of smooth plane quartics	3
The Hilbert scheme of hyperelliptic Jacobians and moduli of Picard sheaves	3
Friezes satisfying higher SLk-determinants	3
On the locus of 2-dimensional crystalline representations with a given reduction modulo p	3
Auslander correspondence for triangulated categories	3
Tubular approaches to Baker’s method for curves and varieties	3
Functional transcendence for the unipotent Albanese map	3
p-adic Asai L-functions of Bianchi modular forms	3
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp	3
The mean values of cubic L-functions over function fields	3
Uniform bounds for the number of rational points on varieties over global fields	3
On Héthelyi–Külshammer’s conjecture for principal blocks	3
Manin’s conjecture and the Fujita invariant of finite covers	3
Precobordism and cobordism	3
Remarks on generating series for special cycles on orthogonal Shimura varieties	3
Pathological behavior of arithmetic invariants of unipotent groups	3
On asymptotic Fermat over ℤp-extensions of ℚ	3

The universal family of semistable p-adic Galois representations	3
Higher frames and G-displays	3
A quaternionic Saito–Kurokawa lift and cusp forms on G2	2
Birational geometry of moduli spaces of configurations of points on the line	2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves	2
Nouvelles cohomologies de Weil en caractéristique positive	2
On the Grothendieck-Serre conjecture about principal bundles and its generalizations	2
Automorphisms of Cartan modular curves of prime and composite level	2
Positivity results for spaces of rational curves	2
The Navarro conjecture for the alternating groups	2
Motivic Euler products in motivic statistics	2
Generating series of a new class of orthogonal Shimura varieties	2
On the Breuil–Schneider conjecture : generic case	2
Stability of normal bundles of space curves	2
On unipotent radicals of motivic Galois groups	2
Classification of subbundles on the Fargues–Fontaine curve	2
The cancellation of projective modules of rank 2 with a trivial determinant	2
Differential operators mod p : analytic continuation and consequences	2
p-adic estimates of exponential sums on curves	2
Experiments on the Brauer map in high codimension	2
The integral monodromy of isolated quasihomogeneous singularities	2
Monoidal abelian envelopes and a conjecture of Benson and Etingof	2
Some refinements of the Deligne–Illusie theorem	2
Vinogradov’s theorem with Fouvry–Iwaniec primes	2
Fano 4-folds with rational fibrations	2
The G-stable rank for tensors and the cap set problem	2
Quadratic relations between Bessel moments	2
On upper bounds of Manin type	2
The F-rational signature and drops in the Hilbert–Kunz multiplicity	2
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields	2
Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families	2
Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups	2
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces	2
On odd-dimensional modular tensor categories	2
An algebraic framework for noncommutative bundles with homogeneous fibres	2
Multiplicities and Betti numbers in local algebra via lim Ulrich points	2
Roth’s Theorem over arithmetic function fields	2
A moving lemma for relative 0-cycles	2