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 2021-12-01 to 2025-12-01.)
ArticleCitations
Equidistribution and freeness on Grassmannians15
Resolution of ideals associated to subspace arrangements12
Balmer spectra and Drinfeld centers12
Prismatic G-displays and descent theory12
A case study of intersections on blowups of the moduli of curves11
Self-correlations of Hurwitz class numbers10
Combing a hedgehog over a field9
Geometric properties of the Kazhdan–Lusztig Schubert basis8
Ranks of abelian varieties in cyclotomic twist families8
Prime values of f(a,b2) and f(a,p2), f quadratic8
Motivic Euler products in motivic statistics7
The mean values of cubic L-functions over function fields7
7
6
The log product formula6
6
Locally analytic vector bundles on the Fargues–Fontaine curve6
A modification of the linear sieve, and the count of twin primes6
Cohomology of cluster varieties, I: Locally acyclic case6
Rigidity of modular morphisms via Fujita decomposition6
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces5
On two definitions of wave-front sets for p-adic groups5
5
Monoidal abelian envelopes and a conjecture of Benson and Etingof5
Serre weight conjectures for p-adic unitary groups of rank 25
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces5
5
Multiplicities of jumping numbers5
Modular compactifications of ℳ2,n with Gorenstein curves5
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect5
Square-free OM computation of global integral bases5
Moments in the Chebotarev density theorem: general class functions5
Semistable models for some unitary Shimura varieties over ramified primes4
Partial sums of typical multiplicative functions over short moving intervals4
Enumeration of conjugacy classes in affine groups4
4
Fundamental exact sequence for the pro-étale fundamental group4
Enveloppe étale de morphismes plats4
Separation of periods of quartic surfaces4
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
4
Algebraic cycles and functorial lifts from G2 to PGSp64
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
A p-adic Simpson correspondence for rigid analytic varieties4
Quotients of admissible formal schemes and adic spaces by finite groups3
Moduli spaces of morphisms into solvable algebraic groups3
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic3
Word measures on GLn(q) and free group algebras3
Extending the unconditional support in an Iwaniec–Luo–Sarnak family3
p-groups, p-rank, and semistable reduction of coverings of curves3
Functorial embedded resolution via weighted blowings up3
Global dimension of real-exponent polynomial rings3
Multiplicity structure of the arc space of a fat point3
A unipotent realization of the chromatic quasisymmetric function3
3
The diagonal coinvariant ring of a complex reflection group3
3
3
The distribution of large quadratic character sums and applications3
The Chow ring of the classifying space of the unitary group3
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 33
On the distribution of lattice points on hyperbolic circles3
Mutation and torsion pairs3
The wavefront sets of unipotent supercuspidal representations3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
Torsion points on elliptic curves over number fields of small degree2
Tautological cycles on tropical Jacobians2
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
Optimal lifting for the projective action of SL3(ℤ)2
GKM-theory for torus actions on cyclic quiver Grassmannians2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case2
On the boundedness of canonical models2
Reduction modulo p of Noether’s problem2
2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
2
On fake linear cycles inside Fermat varieties2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits2
The behavior of essential dimension under specialization, II2
2
Ideals in enveloping algebras of affine Kac–Moody algebras2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
Rooted tree maps for multiple L-values from a perspective of harmonic algebras2
Frobenius splitting of valuation rings and F-singularities of centers2
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ12
Sym-Noetherianity for powers of GL-varieties2
2
Discriminant groups of wild cyclic quotient singularities2
Galois representations attached to elliptic curves with complex multiplication2
The strong maximal rank conjecture and moduli spaces of curves2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
2
2
Canonical integral models for Shimura varieties of toral type2
Index of coregularity zero log Calabi–Yau pairs2
Galois orbits of torsion points near atoral sets2
Covering gonalities of complete intersections in positive characteristic2
The de Rham–Fargues–Fontaine cohomology2
Separating G2-invariants of several octonions2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
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