Algebra & Number Theory

Papers
(The median citation count of Algebra & Number Theory is 0. 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
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
Prime values of f(a,b2) and f(a,p2), f quadratic8
Geometric properties of the Kazhdan–Lusztig Schubert basis7
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
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
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
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 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
4
Separation of periods of quartic surfaces4
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces4
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
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
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits2
Ideals in enveloping algebras of affine Kac–Moody algebras2
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
Galois orbits of torsion points near atoral sets2
Optimal lifting for the projective action of SL3(ℤ)2
The strong maximal rank conjecture and moduli spaces of curves2
Tautological cycles on tropical Jacobians2
On fake linear cycles inside Fermat varieties2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
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
Canonical integral models for Shimura varieties of toral type2
Functorial embedded resolution via weighted blowings up2
The behavior of essential dimension under specialization, II2
2
2
Reduction modulo p of Noether’s problem2
Rooted tree maps for multiple L-values from a perspective of harmonic algebras2
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
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case2
Abelian varieties over finite fields and their groups of rational points2
Tame fundamental groups of pure pairs and Abhyankar’s lemma2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
Operations in connective K-theory1
Intersecting geodesics on the modular surface1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic1
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points1
1
A geometric classification of the holomorphic vertex operator algebras of central charge 241
1
Malle’s conjecture for fair counting functions1
Semisimple algebras and PI-invariants of finite dimensional algebras1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes1
1
Rational points of rigid-analytic sets : a Pila–Wilkie-type theorem1
The integral monodromy of isolated quasihomogeneous singularities1
Separating G2-invariants of several octonions1
The de Rham–Fargues–Fontaine cohomology1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent1
Refined height pairing1
Maximizing Sudler products via Ostrowski expansions and cotangent sums1
The core of monomial ideals1
Categorifications of rational Hilbert series and characters of FSop modules1
1
1
Formal groups and lifts of the field of norms1
1
A weighted one-level density of families of L-functions1
Lower bounds for discrete negative moments of the Riemann zeta function1
1
Index of coregularity zero log Calabi–Yau pairs1
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ11
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée1
Fitting ideals of class groups for CM abelian extensions1
Constructions of difference sets in nonabelian 2-groups1
Application of a polynomial sieve: beyond separation of variables1
On the geometry of geometric rank1
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves1
Syntomic complex and p-adic nearby cycles1
1
1
1
1
Elliptic KZB connections via universal vector extensions1
Automorphisms of Cartan modular curves of prime and composite level1
On the boundedness of canonical models1
The structure of Frobenius kernels for automorphism group schemes0
Morphismes de périodes et cohomologie syntomique0
Constructions of difference sets in nonabelian 2-groups0
Uniform bounds for the number of rational points on varieties over global fields0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus0
Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules0
Remarks on Landau–Siegel zeros0
A transference principle for systems of linear equations, and applications to almost twin primes0
Topological spectrum and perfectoid Tate rings0
Divisibility of character values of the symmetric group by prime powers0
Counting abelian varieties over finite fields via Frobenius densities0
Some refinements of the Deligne–Illusie theorem0
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula0
Cotangent bundle and microsupports in the mixed characteristic case0
Odd moments in the distribution of primes0
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups0
Affine Deligne–Lusztig varieties with finite Coxeter parts0
Cohomologie analytique des arrangements d’hyperplans0
Stacked pseudo-convergent sequences and polynomial Dedekind domains0
On the first nontrivial strand of syzygies of projective schemes and condition ND(ℓ)0
Parametrizing roots of polynomial congruences0
Presentations of Galois groups of maximal extensions with restricted ramification0
Descent on elliptic surfaces and arithmetic bounds for the Mordell–Weil rank0
0
Tamely ramified covers of the projective line with alternating and symmetric monodromy0
Transcendental series of reciprocals of Fibonacci and Lucas numbers0
On the Grothendieck-Serre conjecture about principal bundles and its generalizations0
On rationally connected varieties over C1 fields of characteristic 00
Quadratic relations between Bessel moments0
Geometry of PCF parameters in spaces of quadratic polynomials0
0
0
An equivariant Tamagawa number formula for Drinfeld modules and applications0
Arithmetic Siegel–Weil formula on ????0(N)0
Explicit computation of symmetric differentials and its application to quasihyperbolicity0
Weyl sums with multiplicative coefficients and joint equidistribution0
On the failure of the integral Tate conjecture for products with projective hypersurfaces0
Motivic distribution of rational curves and twisted products of toric varieties0
Multiplicative preprojective algebras are 2-Calabi–Yau0
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums0
A deterministic algorithm for Harder–Narasimhan filtrations for representations of acyclic quivers0
Irregular Hodge filtration of hypergeometric differential equations0
0
Sur les espaces homogènes de Borovoi–Kunyavskii0
Terminal orders on arithmetic surfaces0
Moduli of linear slices of high degree smooth hypersurfaces0
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata0
Theta correspondence and simple factors in global Arthur parameters0
The integral Chow ring of weighted blow-ups0
Smooth numbers are orthogonal to nilsequences0
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic0
Bézoutians and the ????1-degree0
Syzygies of tangent-developable surfaces and K3 carpets via secant varieties0
0
The principal block of a ℤℓ-spets and Yokonuma type algebras0
Spectral reciprocity via integral representations0
0
Scattering diagrams for generalized cluster algebras0
Saturation bounds for smooth varieties0
Geometric properties of the Kazhdan–Lusztig Schubert basis0
0
On the mixed Tate property and the motivic class of the classifying stack of a finite group0
Generalized Igusa functions and ideal growth in nilpotent Lie rings0
On the geometry and representation theory of isomeric matrices0
Experiments on the Brauer map in high codimension0
Free rational curves on low degree hypersurfaces and the circle method0
0
Distinction inside L-packets of SL(n)0
Tame fundamental groups of pure pairs and Abhyankar’s lemma0
Paucity of rational points on fibrations with multiple fibres0
Perfectoid towers and their tilts : with an application to the étale cohomology groups of local log-regular rings0
Unramifiedness of weight 1 Hilbert Hecke algebras0
0
Serre weights for three-dimensional wildly ramified Galois representations0
Artin’s conjecture for Drinfeld modules0
Weakly special test configurations of log canonical Fano varieties0
Metaplectic cusp forms and the large sieve0
Differences between perfect powers: prime power gaps0
On unipotent radicals of motivic Galois groups0
On Ozaki’s theorem realizing prescribed p-groups as p-class tower groups0
Stability of normal bundles of space curves0
On self-correspondences on curves0
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra0
Smooth cuboids in group theory0
0
Unipotent ℓ-blocks for simply connected p-adic groups0
On the D-module of an isolated singularity0
On the maximum gonality of a curve over a finite field0
On Tamagawa numbers of CM tori0
The Brauer–Manin obstruction for nonisotrivial curves over global function fields0
Solvable and nonsolvable finite groups of the same order type0
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower0
Frobenius–Witt differentials and regularity0
Snowflake modules and Enright functor for Kac–Moody superalgebras0
On the Bombieri–Lang conjecture over finitely generated fields0
Differential operators, retracts, and toric face rings0
Zero-sum subsets in vector spaces over finite fields0
Breuil–Mézard conjectures for central division algebras0
Integral period relations and congruences0
Super-Hölder vectors and the field of norms0
The Lyndon–Demushkin method and crystalline lifts of G2-valued Galois representations0
Curves with few bad primes over cyclotomic ℤℓ-extensions0
Fermat’s last theorem over ℚ(,)0
Maximal subgroups of exceptional groups and Quillen’s dimension0
0
The Manin–Mumford conjecture and the Tate–Voloch conjecture for a product of Siegel moduli spaces0
Pullback formulas for arithmetic cycles on orthogonal Shimura varieties0
0
Differentially large fields0
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