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 2021-09-01 to 2025-09-01.)
ArticleCitations
Resolution of ideals associated to subspace arrangements28
Equidistribution and freeness on Grassmannians22
Ranks of abelian varieties in cyclotomic twist families15
Prime values of f(a,b2) and f(a,p2), f quadratic14
Balmer spectra and Drinfeld centers11
A case study of intersections on blowups of the moduli of curves10
The mean values of cubic L-functions over function fields10
Prismatic G-displays and descent theory10
Geometric properties of the Kazhdan–Lusztig Schubert basis9
Motivic Euler products in motivic statistics9
8
Rigidity of modular morphisms via Fujita decomposition8
Cohomology of cluster varieties, I: Locally acyclic case8
Locally analytic vector bundles on the Fargues–Fontaine curve8
The log product formula7
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect7
7
A modification of the linear sieve, and the count of twin primes6
6
Serre weight conjectures for p-adic unitary groups of rank 26
Multiplicities of jumping numbers5
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces5
Square-free OM computation of global integral bases5
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces5
5
5
Modular compactifications of ℳ2,n with Gorenstein curves5
4
Monoidal abelian envelopes and a conjecture of Benson and Etingof4
Separation of periods of quartic surfaces4
Partial sums of typical multiplicative functions over short moving intervals4
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces4
On the distribution of lattice points on hyperbolic circles4
Enumeration of conjugacy classes in affine groups4
4
A p-adic Simpson correspondence for rigid analytic varieties4
Fundamental exact sequence for the pro-étale fundamental group4
Algebraic cycles and functorial lifts from G2 to PGSp64
4
Moments in the Chebotarev density theorem: general class functions4
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves4
Multiplicity structure of the arc space of a fat point4
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 34
3
The distribution of large quadratic character sums and applications3
A unipotent realization of the chromatic quasisymmetric function3
Moduli spaces of morphisms into solvable algebraic groups3
3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
Galois orbits of torsion points near atoral sets3
Canonical integral models for Shimura varieties of toral type3
Extending the unconditional support in an Iwaniec–Luo–Sarnak family3
Quotients of admissible formal schemes and adic spaces by finite groups3
The Chow ring of the classifying space of the unitary group3
Enveloppe étale de morphismes plats3
Semistable models for some unitary Shimura varieties over ramified primes3
Mutation and torsion pairs3
Functorial embedded resolution via weighted blowings up3
3
p-groups, p-rank, and semistable reduction of coverings of curves3
The diagonal coinvariant ring of a complex reflection group3
Global dimension of real-exponent polynomial rings3
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic3
Word measures on GLn(q) and free group algebras3
The wavefront sets of unipotent supercuspidal representations3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras3
The integral monodromy of isolated quasihomogeneous singularities2
Optimal lifting for the projective action of SL3(ℤ)2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
2
Torsion points on elliptic curves over number fields of small degree2
Tautological cycles on tropical Jacobians2
Covering gonalities of complete intersections in positive characteristic2
On fake linear cycles inside Fermat varieties2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
The behavior of essential dimension under specialization, II2
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ12
Ideals in enveloping algebras of affine Kac–Moody algebras2
Separating G2-invariants of several octonions2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
GKM-theory for torus actions on cyclic quiver Grassmannians2
Discriminant groups of wild cyclic quotient singularities2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
Lower bounds for discrete negative moments of the Riemann zeta function2
The strong maximal rank conjecture and moduli spaces of curves2
2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
Flag manifolds over semifields2
A proof of Perrin-Riou’s Heegner point main conjecture2
The de Rham–Fargues–Fontaine cohomology2
Roth’s Theorem over arithmetic function fields2
2
Manin’s conjecture and the Fujita invariant of finite covers2
2
2
Galois representations attached to elliptic curves with complex multiplication2
Automorphisms of Cartan modular curves of prime and composite level2
Abelian varieties over finite fields and their groups of rational points2
Pathological behavior of arithmetic invariants of unipotent groups1
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)1
Refined height pairing1
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
Elliptic KZB connections via universal vector extensions1
Operations in connective K-theory1
1
1
1
A geometric classification of the holomorphic vertex operator algebras of central charge 241
Base sizes for primitive groups with soluble stabilisers1
1
A weighted one-level density of families of L-functions1
Remarks on generating series for special cycles on orthogonal Shimura varieties1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic1
1
Application of a polynomial sieve: beyond separation of variables1
The core of monomial ideals1
1
Rational points of rigid-analytic sets : a Pila–Wilkie-type theorem1
On the geometry of geometric rank1
Formal groups and lifts of the field of norms1
1
Index of coregularity zero log Calabi–Yau pairs1
Malle’s conjecture for fair counting functions1
Categorifications of rational Hilbert series and characters of FSop modules1
1
Frobenius splitting of valuation rings and F-singularities of centers1
1
Uniform bounds for the number of rational points on varieties over global fields1
Constructions of difference sets in nonabelian 2-groups1
Maximizing Sudler products via Ostrowski expansions and cotangent sums1
1
Fitting ideals of class groups for CM abelian extensions1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes1
Positivity determines the quantum cohomology of Grassmannians1
Intersecting geodesics on the modular surface1
Precobordism and cobordism1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent1
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves1
Semisimple algebras and PI-invariants of finite dimensional algebras1
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée1
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums0
0
Syzygies of tangent-developable surfaces and K3 carpets via secant varieties0
Moduli of linear slices of high degree smooth hypersurfaces0
Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules0
Theta correspondence and simple factors in global Arthur parameters0
On Héthelyi–Külshammer’s conjecture for principal blocks0
On Ozaki’s theorem realizing prescribed p-groups as p-class tower groups0
0
On the first nontrivial strand of syzygies of projective schemes and condition ND(ℓ)0
Differences between perfect powers: prime power gaps0
Spectral reciprocity via integral representations0
Presentations of Galois groups of maximal extensions with restricted ramification0
Torsion points on theta divisors and semihomogeneous vector bundles0
Topological spectrum and perfectoid Tate rings0
0
Fermat’s last theorem over ℚ(,)0
Wild ramification, nearby cycle complexes, and characteristic cycles of ℓ-adic sheaves0
Automorphisms of del Pezzo surfaces in characteristic 20
Descent on elliptic surfaces and arithmetic bounds for the Mordell–Weil rank0
Pullback formulas for arithmetic cycles on orthogonal Shimura varieties0
The structure of Frobenius kernels for automorphism group schemes0
Transcendental series of reciprocals of Fibonacci and Lucas numbers0
Modèle local des schémas de Hilbert–Siegel de niveau Γ1(p)0
Weakly special test configurations of log canonical Fano varieties0
Integral period relations and congruences0
Terminal orders on arithmetic surfaces0
0
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula0
Differentially large fields0
Parametrizing roots of polynomial congruences0
The principal block of a ℤℓ-spets and Yokonuma type algebras0
On the Bombieri–Lang conjecture over finitely generated fields0
Universal abelian variety and Siegel modular forms0
Distinction inside L-packets of SL(n)0
Odd moments in the distribution of primes0
Some refinements of the Deligne–Illusie theorem0
Stability of normal bundles of space curves0
Reconstructing function fields from Milnor K-theory0
Solvable and nonsolvable finite groups of the same order type0
Affine Deligne–Lusztig varieties with finite Coxeter parts0
Morphismes de périodes et cohomologie syntomique0
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups0
The integral Chow ring of weighted blow-ups0
Scattering diagrams for generalized cluster algebras0
0
On reduced arc spaces of toric varieties0
Sur les espaces homogènes de Borovoi–Kunyavskii0
0
Quadratic relations between Bessel moments0
Arithmetic Siegel–Weil formula on ????0(N)0
Frobenius–Witt differentials and regularity0
0
Matrix Kloosterman sums0
Geometric properties of the Kazhdan–Lusztig Schubert basis0
Super-Hölder vectors and the field of norms0
Multiplicative preprojective algebras are 2-Calabi–Yau0
On the mixed Tate property and the motivic class of the classifying stack of a finite group0
Motivic distribution of rational curves and twisted products of toric varieties0
A transference principle for systems of linear equations, and applications to almost twin primes0
Generalized Igusa functions and ideal growth in nilpotent Lie rings0
Constructions of difference sets in nonabelian 2-groups0
Explicit computation of symmetric differentials and its application to quasihyperbolicity0
On the D-module of an isolated singularity0
The Manin–Mumford conjecture and the Tate–Voloch conjecture for a product of Siegel moduli spaces0
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower0
Snowflake modules and Enright functor for Kac–Moody superalgebras0
0
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp0
Cotangent bundle and microsupports in the mixed characteristic case0
Multiplicities and Betti numbers in local algebra via lim Ulrich points0
Divisibility of character values of the symmetric group by prime powers0
Metaplectic cusp forms and the large sieve0
Bézoutians and the ????1-degree0
Unipotent ℓ-blocks for simply connected p-adic groups0
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra0
On Tamagawa numbers of CM tori0
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic0
On unipotent radicals of motivic Galois groups0
Weyl sums with multiplicative coefficients and joint equidistribution0
Differential operators, retracts, and toric face rings0
Free rational curves on low degree hypersurfaces and the circle method0
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata0
Tamely ramified covers of the projective line with alternating and symmetric monodromy0
Rational dynamical systems, S-units, and D-finite power series0
Frobenius lifts and elliptic curves with complex multiplication0
0
Tame fundamental groups of pure pairs and Abhyankar’s lemma0
0
Zero-sum subsets in vector spaces over finite fields0
Unramifiedness of weight 1 Hilbert Hecke algebras0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus0
Curves with few bad primes over cyclotomic ℤℓ-extensions0
Artin’s conjecture for Drinfeld modules0
Differential operators mod p : analytic continuation and consequences0
0
A deterministic algorithm for Harder–Narasimhan filtrations for representations of acyclic quivers0
The unit equation over cyclic number fields of prime degree0
Smooth cuboids in group theory0
On self-correspondences on curves0
On the maximum gonality of a curve over a finite field0
Serre weights for three-dimensional wildly ramified Galois representations0
Cohomologie analytique des arrangements d’hyperplans0
Sporadic cubic torsion0
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