Algebra & Number Theory

Papers
(The median citation count of Algebra & Number Theory 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 2022-06-01 to 2026-06-01.)
ArticleCitations
Equidistribution and freeness on Grassmannians19
Resolution of ideals associated to subspace arrangements13
Balmer spectra and Drinfeld centers11
Combing a hedgehog over a field10
Prime values of f(a,b2) and f(a,p2), f quadratic9
The average Mordell–Weil rank of elliptic surfaces over number fields9
Self-correlations of Hurwitz class numbers9
Prismatic G-displays and descent theory8
8
Ranks of abelian varieties in cyclotomic twist families8
Geometric properties of the Kazhdan–Lusztig Schubert basis8
A case study of intersections on blowups of the moduli of curves8
Locally analytic vector bundles on the Fargues–Fontaine curve7
The mean values of cubic L-functions over function fields7
Rigidity of modular morphisms via Fujita decomposition7
The log product formula7
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces6
Serre weight conjectures for p-adic unitary groups of rank 26
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect6
6
Monoidal abelian envelopes and a conjecture of Benson and Etingof6
Modular compactifications of ℳ2,n with Gorenstein curves6
A modification of the linear sieve, and the count of twin primes6
6
Square-free OM computation of global integral bases6
On two definitions of wave-front sets for p-adic groups6
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves5
5
Separation of periods of quartic surfaces5
Enumeration of conjugacy classes in affine groups5
Moments in the Chebotarev density theorem: general class functions5
A p-adic Simpson correspondence for rigid analytic varieties5
Multiplicities of jumping numbers5
5
5
Algebraic cycles and functorial lifts from G2 to PGSp64
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
The distribution of large quadratic character sums and applications4
Global dimension of real-exponent polynomial rings4
Word measures on GLn(q) and free group algebras4
Moduli spaces of morphisms into solvable algebraic groups4
Multiplicity structure of the arc space of a fat point4
Semistable models for some unitary Shimura varieties over ramified primes4
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 34
A unipotent realization of the chromatic quasisymmetric function4
Extending the unconditional support in an Iwaniec–Luo–Sarnak family4
The wavefront sets of unipotent supercuspidal representations4
Derived isogenies and isogenies for abelian surfaces4
Partial sums of typical multiplicative functions over short moving intervals4
Fundamental exact sequence for the pro-étale fundamental group4
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic4
4
The diagonal coinvariant ring of a complex reflection group4
Quotients of admissible formal schemes and adic spaces by finite groups4
Enveloppe étale de morphismes plats4
p-groups, p-rank, and semistable reduction of coverings of curves3
Mutation and torsion pairs3
Functorial embedded resolution via weighted blowings up3
Galois orbits of torsion points near atoral sets3
Ideals in enveloping algebras of affine Kac–Moody algebras3
3
3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras3
On the minimal dimension of a faithful linear representation of a finite group3
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case3
3
Effective multiplicative independence of three singular moduli3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
Canonical integral models for Shimura varieties of toral type3
Murmurations of modular forms in the weight aspect3
Optimal lifting for the projective action of SL3(ℤ)3
Tautological cycles on tropical Jacobians3
Separating G2-invariants of several octonions2
On the cohomology of tautological bundles over Quot schemes of curves2
Lower bounds for discrete negative moments of the Riemann zeta function2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
Sym-Noetherianity for powers of GL-varieties2
The behavior of essential dimension under specialization, II2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
Discriminant groups of wild cyclic quotient singularities2
On the Frobenius fields of abelian varieties over number fields2
Deformation rings and images of Galois representations2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
The integral monodromy of isolated quasihomogeneous singularities2
Index of coregularity zero log Calabi–Yau pairs2
2
Reduction theory for stably graded Lie algebras2
2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
Injectivity and vanishing for the Du Bois complexes of isolated singularities2
Reduction modulo p of Noether’s problem2
The strong maximal rank conjecture and moduli spaces of curves2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée2
Torsion points on elliptic curves over number fields of small degree2
GKM-theory for torus actions on cyclic quiver Grassmannians2
On the boundedness of canonical models2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
The de Rham–Fargues–Fontaine cohomology2
On fake linear cycles inside Fermat varieties2
Galois representations attached to elliptic curves with complex multiplication2
Abelian varieties over finite fields and their groups of rational points2
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits2
Covering gonalities of complete intersections in positive characteristic2
Automorphisms of Cartan modular curves of prime and composite level2
A geometric classification of the holomorphic vertex operator algebras of central charge 241
An equivariant Tamagawa number formula for Drinfeld modules and applications1
1
Exceptional characters and prime numbers in sparse sets1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent1
Ramified descent and transcendental Brauer–Manin obstruction1
1
The Mahler measure of exact polynomials in three variables1
Categorifications of rational Hilbert series and characters of FSop modules1
Quadratic points on intersections of two quadrics1
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields1
Counting abelian varieties over finite fields via Frobenius densities1
Breuil–Mézard conjectures for central division algebras1
1
The Lyndon–Demushkin method and crystalline lifts of G2-valued Galois representations1
Malle’s conjecture for fair counting functions1
The core of monomial ideals1
Correction to the article Height bounds and the Siegel property1
A weighted one-level density of families of L-functions1
Automorphisms of del Pezzo surfaces in characteristic 21
Fitting ideals of class groups for CM abelian extensions1
Saturation bounds for smooth varieties1
Intersecting geodesics on the modular surface1
Uniform bounds for the number of rational points on varieties over global fields1
On the geometry of geometric rank1
On the equivalence between the effective adjunction conjectures of Prokhorov–Shokurov and of Li1
Syntomic complex and p-adic nearby cycles1
Vinogradov’s theorem with Fouvry–Iwaniec primes1
1
Efficient resolution of Thue–Mahler equations1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic1
Refined height pairing1
On the geometry and representation theory of isomeric matrices1
Elliptic KZB connections via universal vector extensions1
Polyhedral and tropical geometry of flag positroids1
1
Application of a polynomial sieve: beyond separation of variables1
Asymptotics of extensions of simple ℚ-algebras1
Maximizing Sudler products via Ostrowski expansions and cotangent sums1
Explicit isogenies of prime degree over number fields1
1
Semistable representations as limits of crystalline representations1
Operations in connective K-theory1
Malcev completions, Hodge theory, and motives1
1
Mean values of long Dirichlet polynomials with divisor coefficients1
Semisimple algebras and PI-invariants of finite dimensional algebras1
Irregular Hodge filtration of hypergeometric differential equations1
1
Projectivity and effective global generation of determinantal line bundles on quiver moduli1
Constructions of difference sets in nonabelian 2-groups1
The integral Chow ring of weighted blow-ups1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes1
A coarse Jacquet–Zagier trace formula for GL(n), with applications1
Rational points of rigid-analytic sets : a Pila–Wilkie-type theorem1
Higher modularity of elliptic curves over function fields1
1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points1
Affine Deligne–Lusztig varieties via the double Bruhat graph, II : Iwahori–Hecke algebra1
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