Algebra & Number Theory

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 2022-01-01 to 2026-01-01.)
ArticleCitations
Equidistribution and freeness on Grassmannians15
Resolution of ideals associated to subspace arrangements13
Prismatic G-displays and descent theory12
Balmer spectra and Drinfeld centers11
A case study of intersections on blowups of the moduli of curves10
Combing a hedgehog over a field9
Prime values of f(a,b2) and f(a,p2), f quadratic8
The average Mordell–Weil rank of elliptic surfaces over number fields8
Ranks of abelian varieties in cyclotomic twist families8
Self-correlations of Hurwitz class numbers8
Geometric properties of the Kazhdan–Lusztig Schubert basis7
The log product formula6
Cohomology of cluster varieties, I: Locally acyclic case6
A modification of the linear sieve, and the count of twin primes6
6
Rigidity of modular morphisms via Fujita decomposition6
6
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces6
The mean values of cubic L-functions over function fields6
Locally analytic vector bundles on the Fargues–Fontaine curve6
6
Serre weight conjectures for p-adic unitary groups of rank 26
Square-free OM computation of global integral bases5
Enumeration of conjugacy classes in affine groups5
Modular compactifications of ℳ2,n with Gorenstein curves5
Multiplicities of jumping numbers5
Moments in the Chebotarev density theorem: general class functions5
5
On two definitions of wave-front sets for p-adic groups5
5
Monoidal abelian envelopes and a conjecture of Benson and Etingof5
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect5
4
Separation of periods of quartic surfaces4
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces4
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves4
4
Fundamental exact sequence for the pro-étale fundamental group4
Semistable models for some unitary Shimura varieties over ramified primes4
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
4
Algebraic cycles and functorial lifts from G2 to PGSp64
A p-adic Simpson correspondence for rigid analytic varieties4
Enveloppe étale de morphismes plats3
The Chow ring of the classifying space of the unitary group3
The diagonal coinvariant ring of a complex reflection group3
The wavefront sets of unipotent supercuspidal representations3
p-groups, p-rank, and semistable reduction of coverings of curves3
3
Partial sums of typical multiplicative functions over short moving intervals3
Multiplicity structure of the arc space of a fat point3
Quotients of admissible formal schemes and adic spaces by finite groups3
Word measures on GLn(q) and free group algebras3
Mutation and torsion pairs3
3
The distribution of large quadratic character sums and applications3
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 33
Moduli spaces of morphisms into solvable algebraic groups3
A unipotent realization of the chromatic quasisymmetric function3
Global dimension of real-exponent polynomial rings3
Extending the unconditional support in an Iwaniec–Luo–Sarnak family3
3
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic3
The behavior of essential dimension under specialization, II2
Canonical integral models for Shimura varieties of toral type2
2
Functorial embedded resolution via weighted blowings up2
Rooted tree maps for multiple L-values from a perspective of harmonic algebras2
2
Reduction modulo p of Noether’s problem2
Sym-Noetherianity for powers of GL-varieties2
2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
Covering gonalities of complete intersections in positive characteristic2
Discriminant groups of wild cyclic quotient singularities2
Abelian varieties over finite fields and their groups of rational points2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case2
Ideals in enveloping algebras of affine Kac–Moody algebras2
Tame fundamental groups of pure pairs and Abhyankar’s lemma2
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits2
Reduction theory for stably graded Lie algebras2
Galois representations attached to elliptic curves with complex multiplication2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
GKM-theory for torus actions on cyclic quiver Grassmannians2
2
Optimal lifting for the projective action of SL3(ℤ)2
Tautological cycles on tropical Jacobians2
Galois orbits of torsion points near atoral sets2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
The strong maximal rank conjecture and moduli spaces of curves2
On fake linear cycles inside Fermat varieties2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
Torsion points on elliptic curves over number fields of small degree2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
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