Algebra & Number Theory

Article	Citations
Sporadic cubic torsion	17
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
Motivic Gauss–Bonnet formulas	10
The basepoint-freeness threshold and syzygies of abelian varieties	9
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
Galois representations attached to elliptic curves with complex multiplication	8
The dimension growth conjecture, polynomial in the degree and without logarithmic factors	8
Curtis homomorphisms and the integral Bernstein center for GLn	7
Sous-groupe de Brauer invariant et obstruction de descente itérée	7
Algorithms for orbit closure separation for invariants and semi-invariants of matrices	7
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
On iterated product sets with shifts, II	6
Epsilon dichotomy for linear models	6
Uniform Yomdin–Gromov parametrizations and points of bounded height in valued fields	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

Moments of quadratic twists of elliptic curve L-functions over function fields	5
Classification of some vertex operator algebras of rank 3	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
Chebyshev’s bias in dihedral and generalized quaternion Galois groups	5
Statistics of the first Galois cohomology group : A refinement of Malle’s conjecture	5
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	4
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
Abelian extensions in dynamical Galois theory	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
Torsion points on elliptic curves over number fields of small degree	4
McKay bijections for symmetric and alternating groups	4
Torsion orders of Fano hypersurfaces	4
Skeletons of Prym varieties and Brill–Noether theory	4
Invertible functions on nonarchimedean symmetric spaces	4
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
Friezes satisfying higher SLk-determinants	3
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula	3
Auslander correspondence for triangulated categories	3
Tubular approaches to Baker’s method for curves and 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
Cohomology of cluster varieties, I: Locally acyclic case	3
Uniform bounds for the number of rational points on varieties over global fields	3
Greatest common divisors of integral points of numerically equivalent divisors	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
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
Higher frames and G-displays	3
a-numbers of curves in Artin–Schreier covers	3
On the locus of 2-dimensional crystalline representations with a given reduction modulo p	3
The Hodge ring of varieties in positive characteristic	3
Harmonic theta series and the Kodaira dimension of ?6	3

On the Grothendieck-Serre conjecture about principal bundles and its generalizations	2
Positivity results for spaces of rational curves	2
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces	2
Motivic Euler products in motivic statistics	2
An algebraic framework for noncommutative bundles with homogeneous fibres	2
The cancellation of projective modules of rank 2 with a trivial determinant	2
A quaternionic Saito–Kurokawa lift and cusp forms on G2	2
Stability of normal bundles of space curves	2
The integral monodromy of isolated quasihomogeneous singularities	2
Multiplicities and Betti numbers in local algebra via lim Ulrich points	2
A moving lemma for relative 0-cycles	2
Quadratic relations between Bessel moments	2
Differential operators mod p : analytic continuation and consequences	2
Experiments on the Brauer map in high codimension	2
Monoidal abelian envelopes and a conjecture of Benson and Etingof	2
The Navarro conjecture for the alternating groups	2
Vinogradov’s theorem with Fouvry–Iwaniec primes	2
Generating series of a new class of orthogonal Shimura varieties	2
The F-rational signature and drops in the Hilbert–Kunz multiplicity	2
Nouvelles cohomologies de Weil en caractéristique positive	2
Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families	2
On the Breuil–Schneider conjecture : generic case	2
On Héthelyi–Külshammer’s conjecture for principal blocks	2
Birational geometry of moduli spaces of configurations of points on the line	2
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields	2
Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups	2
Patching and multiplicity 2k for Shimura curves	2
On odd-dimensional modular tensor categories	2
Roth’s Theorem over arithmetic function fields	2
The G-stable rank for tensors and the cap set problem	2
p-adic estimates of exponential sums on curves	2
Automorphisms of Cartan modular curves of prime and composite level	2
Fano 4-folds with rational fibrations	2
On unipotent radicals of motivic Galois groups	2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves	2
On the birational section conjecture over finitely generated fields	1
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves	1
Axiomatizing the existential theory of ?q((t))	1
Discriminant groups of wild cyclic quotient singularities	1
Transcendental series of reciprocals of Fibonacci and Lucas numbers	1
Categorifications of rational Hilbert series and characters of FSop modules	1
Deformations of smooth complete toric varieties: obstructions and the cup product	1
Topological spectrum and perfectoid Tate rings	1
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups	1
Global dimension of real-exponent polynomial rings	1
The structure of Frobenius kernels for automorphism group schemes	1
Arithmetic properties of Fourier coefficients of meromorphic modular forms	1
On the geometry and representation theory of isomeric matrices	1
On moment map and bigness of tangent bundles of G-varieties	1
Classification of subbundles on the Fargues–Fontaine curve	1
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata	1
Some refinements of the Deligne–Illusie theorem	1
Counting abelian varieties over finite fields via Frobenius densities	1
Torsion points on theta divisors and semihomogeneous vector bundles	1
Waring and cactus ranks and strong Lefschetz property for annihilators of symmetric forms	1
Additive properties of numbers with restricted digits	1
Optimal lifting for the projective action of SL3(ℤ)	1
On the locus of 2-dimensional crystalline representations with a given reduction modulo p	1
Generic planar algebraic vector fields are strongly minimal and disintegrated	1
Bézoutians and the ?1-degree	1
The arithmetic Kuznetsov formula on GL(3), II: The general case	1
A representation theory approach to integral moments of L-functions over function fields	1
Gowers norms control diophantine inequalities	1
Supersolvable descent for rational points	1
Pro-unipotent harmonic actions and dynamical properties of p-adic cyclotomic multiple zeta values	1
On a conjecture of Yui and Zagier	1
A Hecke algebra on the double cover of a Chevalley group over ℚ2	1
On some modular contractions of the moduli space of stable pointed curves	1
Weakly special test configurations of log canonical Fano varieties	1
A proof of the Brown–Goodearl conjecture for module-finite weak Hopf algebras	1
Support varieties and modules of finite projective dimension for modular Lie superalgebras	1
An analogue of the Grothendieck–Springer resolution for symmetric spaces	1
Hybrid subconvexity bounds for twists of GL(3) ×GL(2) L-functions	1
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3	1
On some families of Gushel–Mukai fourfolds	1
Frobenius–Witt differentials and regularity	1
On the geometry of geometric rank	1
Enveloppe étale de morphismes plats	1
The Prasad conjectures for GSp4 and PGSp4	1
The Laplace transform of the second moment in the Gauss circle problem	1

The log product formula	1
On fake linear cycles inside Fermat varieties	1
GKM-theory for torus actions on cyclic quiver Grassmannians	1
Quadratic points on intersections of two quadrics	1
The Erdős–Selfridge problem with square-free moduli	1
The diagonal coinvariant ring of a complex reflection group	1
Endomorphism algebras of geometrically split abelian surfaces over ℚ	1
Resolution of ideals associated to subspace arrangements	1
On upper bounds of Manin type	1
On the motivic class of an algebraic group	1
Equivariant Grothendieck–Riemann–Roch and localization in operational K-theory	1
Frobenius lifts and elliptic curves with complex multiplication	1
Third Galois cohomology group of function fields of curves over number fields	1
The unit equation over cyclic number fields of prime degree	1
Isotriviality, integral points, and primitive primes in orbits in characteristic p	1
Maximizing Sudler products via Ostrowski expansions and cotangent sums	1
Burgess bounds for short character sums evaluated at forms	1
Rational dynamical systems, S-units, and D-finite power series	1