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 2022-05-01 to 2026-05-01.)
ArticleCitations
Equidistribution and freeness on Grassmannians18
Resolution of ideals associated to subspace arrangements13
Prismatic G-displays and descent theory11
Balmer spectra and Drinfeld centers10
Combing a hedgehog over a field9
Self-correlations of Hurwitz class numbers9
Geometric properties of the Kazhdan–Lusztig Schubert basis8
Prime values of f(a,b2) and f(a,p2), f quadratic8
A case study of intersections on blowups of the moduli of curves8
The average Mordell–Weil rank of elliptic surfaces over number fields8
8
Ranks of abelian varieties in cyclotomic twist families8
Rigidity of modular morphisms via Fujita decomposition7
Locally analytic vector bundles on the Fargues–Fontaine curve7
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect6
Modular compactifications of ℳ2,n with Gorenstein curves6
The log product formula6
A modification of the linear sieve, and the count of twin primes6
On two definitions of wave-front sets for p-adic groups6
The mean values of cubic L-functions over function fields6
Serre weight conjectures for p-adic unitary groups of rank 26
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces6
6
6
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves5
5
Moments in the Chebotarev density theorem: general class functions5
Multiplicities of jumping numbers5
Square-free OM computation of global integral bases5
Separation of periods of quartic surfaces5
Monoidal abelian envelopes and a conjecture of Benson and Etingof5
Enumeration of conjugacy classes in affine groups5
5
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic4
Algebraic cycles and functorial lifts from G2 to PGSp64
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
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
Multiplicity structure of the arc space of a fat point4
Enveloppe étale de morphismes plats4
4
Partial sums of typical multiplicative functions over short moving intervals4
Moduli spaces of morphisms into solvable algebraic groups4
4
The diagonal coinvariant ring of a complex reflection group4
Semistable models for some unitary Shimura varieties over ramified primes4
A p-adic Simpson correspondence for rigid analytic varieties4
Fundamental exact sequence for the pro-étale fundamental group4
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
3
Mutation and torsion pairs3
The wavefront sets of unipotent supercuspidal representations3
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case3
Galois orbits of torsion points near atoral sets3
Optimal lifting for the projective action of SL3(ℤ)3
Tautological cycles on tropical Jacobians3
p-groups, p-rank, and semistable reduction of coverings of curves3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
Canonical integral models for Shimura varieties of toral type3
Functorial embedded resolution via weighted blowings up3
Ideals in enveloping algebras of affine Kac–Moody algebras3
3
Quotients of admissible formal schemes and adic spaces by finite groups3
3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras3
Murmurations of modular forms in the weight aspect3
On the minimal dimension of a faithful linear representation of a finite group3
Galois representations attached to elliptic curves with complex multiplication2
Index of coregularity zero log Calabi–Yau pairs2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
The integral monodromy of isolated quasihomogeneous singularities2
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée2
2
The de Rham–Fargues–Fontaine cohomology2
Discriminant groups of wild cyclic quotient singularities2
On the Frobenius fields of abelian varieties over number fields2
Abelian varieties over finite fields and their groups of rational points2
Sym-Noetherianity for powers of GL-varieties2
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits2
2
GKM-theory for torus actions on cyclic quiver Grassmannians2
Lower bounds for discrete negative moments of the Riemann zeta function2
On the boundedness of canonical models2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
Reduction theory for stably graded Lie algebras2
The strong maximal rank conjecture and moduli spaces of curves2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
Torsion points on elliptic curves over number fields of small degree2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
Syntomic complex and p-adic nearby cycles2
The behavior of essential dimension under specialization, II2
2
Reduction modulo p of Noether’s problem2
Automorphisms of Cartan modular curves of prime and composite level2
Separating G2-invariants of several octonions2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
Covering gonalities of complete intersections in positive characteristic2
On fake linear cycles inside Fermat varieties2
1
Geometry of PCF parameters in spaces of quadratic polynomials1
A geometric classification of the holomorphic vertex operator algebras of central charge 241
Polyhedral and tropical geometry of flag positroids1
Application of a polynomial sieve: beyond separation of variables1
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields1
Asymptotics of extensions of simple ℚ-algebras1
The core of monomial ideals1
The integral Chow ring of weighted blow-ups1
Fitting ideals of class groups for CM abelian extensions1
The Mahler measure of exact polynomials in three variables1
Intersecting geodesics on the modular surface1
Mean values of long Dirichlet polynomials with divisor coefficients1
1
Efficient resolution of Thue–Mahler equations1
Semisimple algebras and PI-invariants of finite dimensional algebras1
Exceptional characters and prime numbers in sparse sets1
A weighted one-level density of families of L-functions1
Malcev completions, Hodge theory, and motives1
Breuil–Mézard conjectures for central division algebras1
Elliptic KZB connections via universal vector extensions1
The Lyndon–Demushkin method and crystalline lifts of G2-valued Galois representations1
Malle’s conjecture for fair counting functions1
Counting abelian varieties over finite fields via Frobenius densities1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points1
1
Affine Deligne–Lusztig varieties via the double Bruhat graph, II : Iwahori–Hecke algebra1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes1
An equivariant Tamagawa number formula for Drinfeld modules and applications1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic1
Ramified descent and transcendental Brauer–Manin obstruction1
Operations in connective K-theory1
On the equivalence between the effective adjunction conjectures of Prokhorov–Shokurov and of Li1
1
Quadratic points on intersections of two quadrics1
Categorifications of rational Hilbert series and characters of FSop modules1
Refined height pairing1
1
On the geometry and representation theory of isomeric matrices1
Rational points of rigid-analytic sets : a Pila–Wilkie-type theorem1
Saturation bounds for smooth varieties1
1
Uniform bounds for the number of rational points on varieties over global fields1
Maximizing Sudler products via Ostrowski expansions and cotangent sums1
Constructions of difference sets in nonabelian 2-groups1
Automorphisms of del Pezzo surfaces in characteristic 21
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent1
Explicit isogenies of prime degree over number fields1
1
Vinogradov’s theorem with Fouvry–Iwaniec primes1
On the geometry of geometric rank1
Irregular Hodge filtration of hypergeometric differential equations1
1
Semistable representations as limits of crystalline representations1
1
Correction to the article Height bounds and the Siegel property1
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