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 2021-07-01 to 2025-07-01.)
ArticleCitations
Resolution of ideals associated to subspace arrangements28
Equidistribution and freeness on Grassmannians19
Ranks of abelian varieties in cyclotomic twist families15
Prime values of f(a,b2) and f(a,p2), f quadratic13
A case study of intersections on blowups of the moduli of curves11
Balmer spectra and Drinfeld centers10
Geometric properties of the Kazhdan–Lusztig Schubert basis9
The mean values of cubic L-functions over function fields9
8
Cohomology of cluster varieties, I: Locally acyclic case8
Locally analytic vector bundles on the Fargues–Fontaine curve8
Motivic Euler products in motivic statistics8
7
The log product formula7
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect7
A modification of the linear sieve, and the count of twin primes6
6
Modular compactifications of ℳ2,n with Gorenstein curves5
5
Serre weight conjectures for p-adic unitary groups of rank 25
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces5
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces5
Enumeration of conjugacy classes in affine groups4
A p-adic Simpson correspondence for rigid analytic varieties4
4
Partial sums of typical multiplicative functions over short moving intervals4
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
Multiplicities of jumping numbers4
Moments in the Chebotarev density theorem: general class functions4
4
4
Fundamental exact sequence for the pro-étale fundamental group4
4
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves4
Monoidal abelian envelopes and a conjecture of Benson and Etingof4
Separation of periods of quartic surfaces4
Enveloppe étale de morphismes plats4
Multiplicity structure of the arc space of a fat point4
Square-free OM computation of global integral bases4
A unipotent realization of the chromatic quasisymmetric function3
On the distribution of lattice points on hyperbolic circles3
Semistable models for some unitary Shimura varieties over ramified primes3
The Chow ring of the classifying space of the unitary group3
The distribution of large quadratic character sums and applications3
3
Mutation and torsion pairs3
Extending the unconditional support in an Iwaniec–Luo–Sarnak family3
Algebraic cycles and functorial lifts from G2 to PGSp63
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 33
Global dimension of real-exponent polynomial rings3
The diagonal coinvariant ring of a complex reflection group3
Quotients of admissible formal schemes and adic spaces by finite groups3
3
The wavefront sets of unipotent supercuspidal representations3
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic3
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces3
Moduli spaces of morphisms into solvable algebraic groups3
Word measures on GLn(q) and free group algebras3
p-groups, p-rank, and semistable reduction of coverings of curves3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
3
2
Galois representations attached to elliptic curves with complex multiplication2
Tautological cycles on tropical Jacobians2
Optimal lifting for the projective action of SL3(ℤ)2
Galois orbits of torsion points near atoral sets2
Functorial embedded resolution via weighted blowings up2
Roth’s Theorem over arithmetic function fields2
The strong maximal rank conjecture and moduli spaces of curves2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
GKM-theory for torus actions on cyclic quiver Grassmannians2
Discriminant groups of wild cyclic quotient singularities2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity2
A proof of Perrin-Riou’s Heegner point main conjecture2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
2
Rooted tree maps for multiple L-values from a perspective of harmonic algebras2
The behavior of essential dimension under specialization, II2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
2
On fake linear cycles inside Fermat varieties2
Covering gonalities of complete intersections in positive characteristic2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
Ideals in enveloping algebras of affine Kac–Moody algebras2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case2
Canonical integral models for Shimura varieties of toral type2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
2
Abelian varieties over finite fields and their groups of rational points2
Torsion points on elliptic curves over number fields of small degree2
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