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 2021-08-01 to 2025-08-01.)
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
Balmer spectra and Drinfeld centers11
Prismatic G-displays and descent theory10
A case study of intersections on blowups of the moduli of curves10
The mean values of cubic L-functions over function fields9
Geometric properties of the Kazhdan–Lusztig Schubert basis9
The log product formula8
Cohomology of cluster varieties, I: Locally acyclic case8
Locally analytic vector bundles on the Fargues–Fontaine curve8
Motivic Euler products in motivic statistics8
8
Rigidity of modular morphisms via Fujita decomposition7
7
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
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces5
5
Modular compactifications of ℳ2,n with Gorenstein curves5
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces5
Serre weight conjectures for p-adic unitary groups of rank 25
4
Enumeration of conjugacy classes in affine groups4
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
4
Enveloppe étale de morphismes plats4
Multiplicity structure of the arc space of a fat point4
4
Monoidal abelian envelopes and a conjecture of Benson and Etingof4
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
A p-adic Simpson correspondence for rigid analytic varieties4
Partial sums of typical multiplicative functions over short moving intervals4
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces4
Moments in the Chebotarev density theorem: general class functions4
Multiplicities of jumping numbers4
Separation of periods of quartic surfaces4
4
Fundamental exact sequence for the pro-étale fundamental group4
Algebraic cycles and functorial lifts from G2 to PGSp64
p-groups, p-rank, and semistable reduction of coverings of curves3
Functorial embedded resolution via weighted blowings up3
Quotients of admissible formal schemes and adic spaces by finite groups3
The Chow ring of the classifying space of the unitary group3
Global dimension of real-exponent polynomial rings3
The distribution of large quadratic character sums and applications3
3
Word measures on GLn(q) and free group algebras3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
Galois orbits of torsion points near atoral sets3
The diagonal coinvariant ring of a complex reflection group3
On the distribution of lattice points on hyperbolic circles3
Semistable models for some unitary Shimura varieties over ramified primes3
Moduli spaces of morphisms into solvable algebraic groups3
Mutation and torsion pairs3
3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras3
The wavefront sets of unipotent supercuspidal representations3
A unipotent realization of the chromatic quasisymmetric function3
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic3
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 33
3
Extending the unconditional support in an Iwaniec–Luo–Sarnak family3
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
Discriminant groups of wild cyclic quotient singularities2
Optimal lifting for the projective action of SL3(ℤ)2
Flag manifolds over semifields2
The de Rham–Fargues–Fontaine cohomology2
2
On fake linear cycles inside Fermat varieties2
Tautological cycles on tropical Jacobians2
Canonical integral models for Shimura varieties of toral type2
The behavior of essential dimension under specialization, II2
Covering gonalities of complete intersections in positive characteristic2
A proof of Perrin-Riou’s Heegner point main conjecture2
The integral monodromy of isolated quasihomogeneous singularities2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
Roth’s Theorem over arithmetic function fields2
Abelian varieties over finite fields and their groups of rational points2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
GKM-theory for torus actions on cyclic quiver Grassmannians2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case2
2
Manin’s conjecture and the Fujita invariant of finite covers2
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ12
Torsion points on elliptic curves over number fields of small degree2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
The strong maximal rank conjecture and moduli spaces of curves2
2
Galois representations attached to elliptic curves with complex multiplication2
Ideals in enveloping algebras of affine Kac–Moody algebras2
1
1
Uniform bounds for the number of rational points on varieties over global fields1
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields1
Operations in connective K-theory1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points1
1
Refined height pairing1
Fitting ideals of class groups for CM abelian extensions1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic1
Base sizes for primitive groups with soluble stabilisers1
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)1
1
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves1
Index of coregularity zero log Calabi–Yau pairs1
Separating G2-invariants of several octonions1
Categorifications of rational Hilbert series and characters of FSop modules1
Remarks on generating series for special cycles on orthogonal Shimura varieties1
1
Application of a polynomial sieve: beyond separation of variables1
On the geometry of geometric rank1
The core of monomial ideals1
Positivity determines the quantum cohomology of Grassmannians1
Elliptic KZB connections via universal vector extensions1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent1
Precobordism and cobordism1
Automorphisms of Cartan modular curves of prime and composite level1
A geometric classification of the holomorphic vertex operator algebras of central charge 241
1
1
Frobenius splitting of valuation rings and F-singularities of centers1
Formal groups and lifts of the field of norms1
Intersecting geodesics on the modular surface1
A weighted one-level density of families of L-functions1
Constructions of difference sets in nonabelian 2-groups1
Maximizing Sudler products via Ostrowski expansions and cotangent sums1
Pathological behavior of arithmetic invariants of unipotent groups1
1
1
Rational points of rigid-analytic sets : a Pila–Wilkie-type theorem1
1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes1
Semisimple algebras and PI-invariants of finite dimensional algebras1
Malle’s conjecture for fair counting functions1
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée1
Lower bounds for discrete negative moments of the Riemann zeta function1
Differential operators, retracts, and toric face rings0
On reduced arc spaces of toric varieties0
Stability of normal bundles of space curves0
Tamely ramified covers of the projective line with alternating and symmetric monodromy0
On the commuting probability of p-elements in a finite group0
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums0
Frobenius–Witt differentials and regularity0
0
Frobenius lifts and elliptic curves with complex multiplication0
Matrix Kloosterman sums0
Super-Hölder vectors and the field of norms0
On Tamagawa numbers of CM tori0
Multiplicative preprojective algebras are 2-Calabi–Yau0
Terminal orders on arithmetic surfaces0
A transference principle for systems of linear equations, and applications to almost twin primes0
Geometric properties of the Kazhdan–Lusztig Schubert basis0
Constructions of difference sets in nonabelian 2-groups0
Explicit computation of symmetric differentials and its application to quasihyperbolicity0
On the mixed Tate property and the motivic class of the classifying stack of a finite group0
The Manin–Mumford conjecture and the Tate–Voloch conjecture for a product of Siegel moduli spaces0
Geometry-of-numbers methods in the cusp0
0
Odd moments in the distribution of primes0
Divisibility of character values of the symmetric group by prime powers0
On the D-module of an isolated singularity0
Cotangent bundle and microsupports in the mixed characteristic case0
Syzygies of tangent-developable surfaces and K3 carpets via secant varieties0
On the maximum gonality of a curve over a finite field0
Bézoutians and the ????1-degree0
On Héthelyi–Külshammer’s conjecture for principal blocks0
Scattering diagrams for generalized cluster algebras0
Snowflake modules and Enright functor for Kac–Moody superalgebras0
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic0
On the first nontrivial strand of syzygies of projective schemes and condition ND(ℓ)0
Differences between perfect powers: prime power gaps0
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp0
Presentations of Galois groups of maximal extensions with restricted ramification0
Torsion points on theta divisors and semihomogeneous vector bundles0
Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules0
0
Rational dynamical systems, S-units, and D-finite power series0
Morphismes de périodes et cohomologie syntomique0
Curves with few bad primes over cyclotomic ℤℓ-extensions0
Tame fundamental groups of pure pairs and Abhyankar’s lemma0
Topological spectrum and perfectoid Tate rings0
0
Unramifiedness of weight 1 Hilbert Hecke algebras0
Arithmetic Siegel–Weil formula on ????0(N)0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus0
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups0
Motivic distribution of rational curves and twisted products of toric varieties0
Differential operators mod p : analytic continuation and consequences0
Zero-sum subsets in vector spaces over finite fields0
A deterministic algorithm for Harder–Narasimhan filtrations for representations of acyclic quivers0
Integral period relations and congruences0
On self-correspondences on curves0
The unit equation over cyclic number fields of prime degree0
0
Cohomologie analytique des arrangements d’hyperplans0
Sporadic cubic torsion0
Moduli of linear slices of high degree smooth hypersurfaces0
Smooth cuboids in group theory0
0
Solvable and nonsolvable finite groups of the same order type0
Some refinements of the Deligne–Illusie theorem0
0
Breuil–Mézard conjectures for central division algebras0
On the Bombieri–Lang conjecture over finitely generated fields0
Serre weights for three-dimensional wildly ramified Galois representations0
0
Pullback formulas for arithmetic cycles on orthogonal Shimura varieties0
Metaplectic cusp forms and the large sieve0
0
Quadratic relations between Bessel moments0
Sur les espaces homogènes de Borovoi–Kunyavskii0
On the Grothendieck-Serre conjecture about principal bundles and its generalizations0
Fermat’s last theorem over ℚ(,)0
Wild ramification, nearby cycle complexes, and characteristic cycles of ℓ-adic sheaves0
Waring and cactus ranks and strong Lefschetz property for annihilators of symmetric forms0
Weyl sums with multiplicative coefficients and joint equidistribution0
Spectral reciprocity via integral representations0
The structure of Frobenius kernels for automorphism group schemes0
Modèle local des schémas de Hilbert–Siegel de niveau Γ1(p)0
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata0
Weakly special test configurations of log canonical Fano varieties0
Descent on elliptic surfaces and arithmetic bounds for the Mordell–Weil rank0
Artin’s conjecture for Drinfeld modules0
0
Transcendental series of reciprocals of Fibonacci and Lucas numbers0
Differentially large fields0
Generalized Igusa functions and ideal growth in nilpotent Lie rings0
On Ozaki’s theorem realizing prescribed p-groups as p-class tower groups0
Parametrizing roots of polynomial congruences0
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula0
Distinction inside L-packets of SL(n)0
Multiplicities and Betti numbers in local algebra via lim Ulrich points0
Affine Deligne–Lusztig varieties with finite Coxeter parts0
Reconstructing function fields from Milnor K-theory0
Unipotent ℓ-blocks for simply connected p-adic groups0
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra0
The principal block of a ℤℓ-spets and Yokonuma type algebras0
Theta correspondence and simple factors in global Arthur parameters0
On unipotent radicals of motivic Galois groups0
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower0
Universal abelian variety and Siegel modular forms0
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