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 2021-06-01 to 2025-06-01.)
ArticleCitations
Resolution of ideals associated to subspace arrangements27
Equidistribution and freeness on Grassmannians18
Ranks of abelian varieties in cyclotomic twist families15
Prime values of f(a,b2) and f(a,p2), f quadratic12
A case study of intersections on blowups of the moduli of curves11
Balmer spectra and Drinfeld centers9
Motivic Euler products in motivic statistics8
Geometric properties of the Kazhdan–Lusztig Schubert basis8
8
The mean values of cubic L-functions over function fields8
Cohomology of cluster varieties, I: Locally acyclic case8
7
Locally analytic vector bundles on the Fargues–Fontaine curve7
The log product formula7
6
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect6
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces5
Modular compactifications of ℳ2,n with Gorenstein curves5
Serre weight conjectures for p-adic unitary groups of rank 25
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces5
A modification of the linear sieve, and the count of twin primes5
Multiplicities of jumping numbers4
Enumeration of conjugacy classes in affine groups4
A p-adic Simpson correspondence for rigid analytic varieties4
Moments in the Chebotarev density theorem: general class functions4
4
4
4
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
Square-free OM computation of global integral bases4
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
Additive properties of numbers with restricted digits3
Fundamental exact sequence for the pro-étale fundamental group3
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic3
Semistable models for some unitary Shimura varieties over ramified primes3
The Chow ring of the classifying space of the unitary group3
On the distribution of lattice points on hyperbolic circles3
Algebraic cycles and functorial lifts from G2 to PGSp63
Partial sums of typical multiplicative functions over short moving intervals3
Multiplicity structure of the arc space of a fat point3
3
Global dimension of real-exponent polynomial rings3
A unipotent realization of the chromatic quasisymmetric function3
Enveloppe étale de morphismes plats3
Algebraic realization of noncommutative near-group fusion categories3
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces3
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
The diagonal coinvariant ring of a complex reflection group3
Functorial embedded resolution via weighted blowings up2
Tame fundamental groups of pure pairs and Abhyankar’s lemma2
2
Quotients of admissible formal schemes and adic spaces by finite groups2
Optimal lifting for the projective action of SL3(ℤ)2
Tautological cycles on tropical Jacobians2
Covering gonalities of complete intersections in positive characteristic2
The strong maximal rank conjecture and moduli spaces of curves2
The behavior of essential dimension under specialization, II2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
Canonical integral models for Shimura varieties of toral type2
Rooted tree maps for multiple L-values from a perspective of harmonic algebras2
2
The wavefront sets of unipotent supercuspidal representations2
Word measures on GLn(q) and free group algebras2
2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
Galois representations attached to elliptic curves with complex multiplication2
2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
A proof of Perrin-Riou’s Heegner point main conjecture2
Galois orbits of torsion points near atoral sets2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
The distribution of large quadratic character sums and applications2
p-groups, p-rank, and semistable reduction of coverings of curves2
Ideals in enveloping algebras of affine Kac–Moody algebras2
Discriminant groups of wild cyclic quotient singularities2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity2
Classification of subbundles on the Fargues–Fontaine curve2
The universal unramified module for GL(n) and the Ihara conjecture2
Roth’s Theorem over arithmetic function fields2
Abelian varieties over finite fields and their groups of rational points2
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