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 2022-08-01 to 2026-08-01.)
ArticleCitations
Equidistribution and freeness on Grassmannians19
Balmer spectra and Drinfeld centers13
Self-correlations of Hurwitz class numbers11
Combing a hedgehog over a field11
A case study of intersections on blowups of the moduli of curves9
Prime values of f(a,b2) and f(a,p2), f quadratic9
Ranks of abelian varieties in cyclotomic twist families9
The average Mordell–Weil rank of elliptic surfaces over number fields9
Resolution of ideals associated to subspace arrangements8
8
Prismatic G-displays and descent theory8
Geometric properties of the Kazhdan–Lusztig Schubert basis8
Rigidity of modular morphisms via Fujita decomposition7
The mean values of cubic L-functions over function fields7
Locally analytic vector bundles on the Fargues–Fontaine curve7
The log product formula7
Square-free OM computation of global integral bases6
On two definitions of wave-front sets for p-adic groups6
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces6
Serre weight conjectures for p-adic unitary groups of rank 26
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect6
6
Modular compactifications of ℳ2,n with Gorenstein curves6
A modification of the linear sieve, and the count of twin primes6
6
Enumeration of conjugacy classes in affine groups5
Moments in the Chebotarev density theorem: general class functions5
Separation of periods of quartic surfaces5
A p-adic Simpson correspondence for rigid analytic varieties5
Multiplicities of jumping numbers5
Monoidal abelian envelopes and a conjecture of Benson and Etingof5
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On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves5
5
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations5
Derived isogenies and isogenies for abelian surfaces4
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 34
Partial sums of typical multiplicative functions over short moving intervals4
Global dimension of real-exponent polynomial rings4
The wavefront sets of unipotent supercuspidal representations4
Effective multiplicative independence of three singular moduli4
Algebraic cycles and functorial lifts from G2 to PGSp64
Multiplicity structure of the arc space of a fat point4
Semistable models for some unitary Shimura varieties over ramified primes4
The distribution of large quadratic character sums and applications4
Extending the unconditional support in an Iwaniec–Luo–Sarnak family4
Quotients of admissible formal schemes and adic spaces by finite groups4
Word measures on GLn(q) and free group algebras4
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic4
Fundamental exact sequence for the pro-étale fundamental group4
Moduli spaces of morphisms into solvable algebraic groups4
4
The diagonal coinvariant ring of a complex reflection group4
Mutation and torsion pairs4
A unipotent realization of the chromatic quasisymmetric function4
Canonical integral models for Shimura varieties of toral type3
Functorial embedded resolution via weighted blowings up3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras3
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case3
Optimal lifting for the projective action of SL3(ℤ)3
3
Deformation rings and images of Galois representations3
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3
p-groups, p-rank, and semistable reduction of coverings of curves3
Galois orbits of torsion points near atoral sets3
Tautological cycles on tropical Jacobians3
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits3
Murmurations of modular forms in the weight aspect3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
On the minimal dimension of a faithful linear representation of a finite group3
Ideals in enveloping algebras of affine Kac–Moody algebras3
Failure of the local-global principle for isotropy of quadratic forms over function fields3
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
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Fitting ideals of class groups for CM abelian extensions2
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée2
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent2
The integral monodromy of isolated quasihomogeneous singularities2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
Reduction theory for stably graded Lie algebras2
Torsion points on elliptic curves over number fields of small degree2
Abelian varieties over finite fields and their groups of rational points2
Galois representations attached to elliptic curves with complex multiplication2
On the Frobenius fields of abelian varieties over number fields2
On the boundedness of canonical models2
On fake linear cycles inside Fermat varieties2
2
Index of coregularity zero log Calabi–Yau pairs2
Syntomic complex and p-adic nearby cycles2
Intersecting geodesics on the modular surface2
On the cohomology of tautological bundles over Quot schemes of curves2
Lower bounds for discrete negative moments of the Riemann zeta function2
Sym-Noetherianity for powers of GL-varieties2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
2
Discriminant groups of wild cyclic quotient singularities2
Reduction modulo p of Noether’s problem2
The behavior of essential dimension under specialization, II2
The strong maximal rank conjecture and moduli spaces of curves2
On the geometry of geometric rank2
Separating G2-invariants of several octonions2
Semisimple algebras and PI-invariants of finite dimensional algebras2
A weighted one-level density of families of L-functions2
2
Operations in connective K-theory2
Automorphisms of Cartan modular curves of prime and composite level2
Categorifications of rational Hilbert series and characters of FSop modules2
GKM-theory for torus actions on cyclic quiver Grassmannians2
The de Rham–Fargues–Fontaine cohomology2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
Injectivity and vanishing for the Du Bois complexes of isolated singularities2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
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