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 2022-08-01 to 2026-08-01.)
ArticleCitations
Equidistribution and freeness on Grassmannians19
Balmer spectra and Drinfeld centers13
Combing a hedgehog over a field11
Self-correlations of Hurwitz class numbers11
Prime values of f(a,b2) and f(a,p2), f quadratic9
Ranks of abelian varieties in cyclotomic twist families9
The average Mordell–Weil rank of elliptic surfaces over number fields9
A case study of intersections on blowups of the moduli of curves9
8
Prismatic G-displays and descent theory8
Geometric properties of the Kazhdan–Lusztig Schubert basis8
Resolution of ideals associated to subspace arrangements8
Locally analytic vector bundles on the Fargues–Fontaine curve7
The log product formula7
Rigidity of modular morphisms via Fujita decomposition7
The mean values of cubic L-functions over function fields7
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
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
Multiplicities of jumping numbers5
Monoidal abelian envelopes and a conjecture of Benson and Etingof5
5
5
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves5
5
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations5
Enumeration of conjugacy classes in affine groups5
Moments in the Chebotarev density theorem: general class functions5
Separation of periods of quartic surfaces5
A p-adic Simpson correspondence for rigid analytic varieties5
The distribution of large quadratic character sums and applications4
Extending the unconditional support in an Iwaniec–Luo–Sarnak family4
Quotients of admissible formal schemes and adic spaces by finite groups4
Word measures on GLn(q) and free group algebras4
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic4
Fundamental exact sequence for the pro-étale fundamental group4
Moduli spaces of morphisms into solvable algebraic groups4
4
The diagonal coinvariant ring of a complex reflection group4
Mutation and torsion pairs4
A unipotent realization of the chromatic quasisymmetric function4
Derived isogenies and isogenies for abelian surfaces4
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 34
Partial sums of typical multiplicative functions over short moving intervals4
Global dimension of real-exponent polynomial rings4
The wavefront sets of unipotent supercuspidal representations4
Effective multiplicative independence of three singular moduli4
Algebraic cycles and functorial lifts from G2 to PGSp64
Multiplicity structure of the arc space of a fat point4
Semistable models for some unitary Shimura varieties over ramified primes4
3
3
p-groups, p-rank, and semistable reduction of coverings of curves3
Galois orbits of torsion points near atoral sets3
Tautological cycles on tropical Jacobians3
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits3
Murmurations of modular forms in the weight aspect3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
On the minimal dimension of a faithful linear representation of a finite group3
Ideals in enveloping algebras of affine Kac–Moody algebras3
Failure of the local-global principle for isotropy of quadratic forms over function fields3
Canonical integral models for Shimura varieties of toral type3
Functorial embedded resolution via weighted blowings up3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras3
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case3
Optimal lifting for the projective action of SL3(ℤ)3
3
Deformation rings and images of Galois representations3
On the cohomology of tautological bundles over Quot schemes of curves2
The strong maximal rank conjecture and moduli spaces of curves2
Lower bounds for discrete negative moments of the Riemann zeta function2
Separating G2-invariants of several octonions2
A weighted one-level density of families of L-functions2
Operations in connective K-theory2
GKM-theory for torus actions on cyclic quiver Grassmannians2
The de Rham–Fargues–Fontaine cohomology2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
Injectivity and vanishing for the Du Bois complexes of isolated singularities2
On the geometry of geometric rank2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
Semisimple algebras and PI-invariants of finite dimensional algebras2
2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
Automorphisms of Cartan modular curves of prime and composite level2
2
Categorifications of rational Hilbert series and characters of FSop modules2
2
Fitting ideals of class groups for CM abelian extensions2
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
Reduction theory for stably graded Lie algebras2
Torsion points on elliptic curves over number fields of small degree2
Abelian varieties over finite fields and their groups of rational points2
2
Galois representations attached to elliptic curves with complex multiplication2
2
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée2
On the Frobenius fields of abelian varieties over number fields2
The integral monodromy of isolated quasihomogeneous singularities2
On fake linear cycles inside Fermat varieties2
Index of coregularity zero log Calabi–Yau pairs2
Intersecting geodesics on the modular surface2
Sym-Noetherianity for powers of GL-varieties2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
2
Discriminant groups of wild cyclic quotient singularities2
On the boundedness of canonical models2
Reduction modulo p of Noether’s problem2
2
Syntomic complex and p-adic nearby cycles2
The behavior of essential dimension under specialization, II2
Vinogradov’s theorem with Fouvry–Iwaniec primes1
The integral Chow ring of weighted blow-ups1
Irregular Hodge filtration of hypergeometric differential equations1
Automorphisms of del Pezzo surfaces in characteristic 21
Malle’s conjecture for fair counting functions1
Explicit isogenies of prime degree over number fields1
Higher modularity of elliptic curves over function fields1
On the equivalence between the effective adjunction conjectures of Prokhorov–Shokurov and of Li1
Elliptic KZB connections via universal vector extensions1
Efficient resolution of Thue–Mahler equations1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic1
Maximizing Sudler products via Ostrowski expansions and cotangent sums1
Quadratic points on intersections of two quadrics1
Presentations of Galois groups of maximal extensions with restricted ramification1
1
1
The Mahler measure of exact polynomials in three variables1
Breuil–Mézard conjectures for central division algebras1
Mean values of long Dirichlet polynomials with divisor coefficients1
The Lyndon–Demushkin method and crystalline lifts of G2-valued Galois representations1
Malcev completions, Hodge theory, and motives1
Saturation bounds for smooth varieties1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points1
An equivariant Tamagawa number formula for Drinfeld modules and applications1
A geometric classification of the holomorphic vertex operator algebras of central charge 241
Asymptotics of extensions of simple ℚ-algebras1
1
Affine Deligne–Lusztig varieties via the double Bruhat graph, II : Iwahori–Hecke algebra1
1
Projectivity and effective global generation of determinantal line bundles on quiver moduli1
Odd moments in the distribution of primes1
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields1
Differential operators, retracts, and toric face rings1
Refined height pairing1
On the geometry and representation theory of isomeric matrices1
Ramified descent and transcendental Brauer–Manin obstruction1
Geometry of PCF parameters in spaces of quadratic polynomials1
The core of monomial ideals1
Solvable and nonsolvable finite groups of the same order type1
Application of a polynomial sieve: beyond separation of variables1
Exceptional characters and prime numbers in sparse sets1
Rational points of rigid-analytic sets : a Pila–Wilkie-type theorem1
Polyhedral and tropical geometry of flag positroids1
1
Correction to the article Height bounds and the Siegel property1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes1
Semistable representations as limits of crystalline representations1
Counting abelian varieties over finite fields via Frobenius densities1
1
Constructions of difference sets in nonabelian 2-groups1
1
Uniform bounds for the number of rational points on varieties over global fields1
A coarse Jacquet–Zagier trace formula for GL(n), with applications1
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