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 2021-11-01 to 2025-11-01.)
ArticleCitations
Equidistribution and freeness on Grassmannians29
Resolution of ideals associated to subspace arrangements23
Prismatic G-displays and descent theory16
Balmer spectra and Drinfeld centers14
Ranks of abelian varieties in cyclotomic twist families12
A case study of intersections on blowups of the moduli of curves11
Prime values of f(a,b2) and f(a,p2), f quadratic11
Combing a hedgehog over a field11
Self-correlations of Hurwitz class numbers10
Geometric properties of the Kazhdan–Lusztig Schubert basis9
Motivic Euler products in motivic statistics9
8
Rigidity of modular morphisms via Fujita decomposition8
The mean values of cubic L-functions over function fields8
Cohomology of cluster varieties, I: Locally acyclic case7
The log product formula7
Locally analytic vector bundles on the Fargues–Fontaine curve7
6
Modular compactifications of ℳ2,n with Gorenstein curves6
6
A modification of the linear sieve, and the count of twin primes6
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect5
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces5
5
Moments in the Chebotarev density theorem: general class functions5
On two definitions of wave-front sets for p-adic groups5
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces5
5
Monoidal abelian envelopes and a conjecture of Benson and Etingof5
Serre weight conjectures for p-adic unitary groups of rank 25
Multiplicities of jumping numbers5
Enumeration of conjugacy classes in affine groups5
Square-free OM computation of global integral bases5
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
On the distribution of lattice points on hyperbolic circles4
Enveloppe étale de morphismes plats4
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
4
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic4
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 34
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces4
Separation of periods of quartic surfaces4
4
A p-adic Simpson correspondence for rigid analytic varieties4
Algebraic cycles and functorial lifts from G2 to PGSp64
Semistable models for some unitary Shimura varieties over ramified primes4
Partial sums of typical multiplicative functions over short moving intervals4
3
3
A unipotent realization of the chromatic quasisymmetric function3
The Chow ring of the classifying space of the unitary group3
The distribution of large quadratic character sums and applications3
p-groups, p-rank, and semistable reduction of coverings of curves3
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case3
Functorial embedded resolution via weighted blowings up3
Galois orbits of torsion points near atoral sets3
Word measures on GLn(q) and free group algebras3
Global dimension of real-exponent polynomial rings3
Moduli spaces of morphisms into solvable algebraic groups3
The diagonal coinvariant ring of a complex reflection group3
The wavefront sets of unipotent supercuspidal representations3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras3
3
Mutation and torsion pairs3
Multiplicity structure of the arc space of a fat point3
Quotients of admissible formal schemes and adic spaces by finite groups3
Extending the unconditional support in an Iwaniec–Luo–Sarnak family3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
Roth’s Theorem over arithmetic function fields3
Canonical integral models for Shimura varieties of toral type3
The de Rham–Fargues–Fontaine cohomology2
Abelian varieties over finite fields and their groups of rational points2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
Optimal lifting for the projective action of SL3(ℤ)2
On fake linear cycles inside Fermat varieties2
Ideals in enveloping algebras of affine Kac–Moody algebras2
GKM-theory for torus actions on cyclic quiver Grassmannians2
Reduction modulo p of Noether’s problem2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity2
Covering gonalities of complete intersections in positive characteristic2
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits2
Manin’s conjecture and the Fujita invariant of finite covers2
The behavior of essential dimension under specialization, II2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
A proof of Perrin-Riou’s Heegner point main conjecture2
Discriminant groups of wild cyclic quotient singularities2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
2
Tautological cycles on tropical Jacobians2
2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
Flag manifolds over semifields2
The strong maximal rank conjecture and moduli spaces of curves2
Sym-Noetherianity for powers of GL-varieties2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
2
2
Torsion points on elliptic curves over number fields of small degree2
2
2
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ12
Galois representations attached to elliptic curves with complex multiplication2
Categorifications of rational Hilbert series and characters of FSop modules1
Formal groups and lifts of the field of norms1
On the equivalence between the effective adjunction conjectures of Prokhorov–Shokurov and of Li1
Refined height pairing1
1
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields1
On the geometry of geometric rank1
1
Intersecting geodesics on the modular surface1
1
1
1
Rational points of rigid-analytic sets : a Pila–Wilkie-type theorem1
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée1
A geometric classification of the holomorphic vertex operator algebras of central charge 241
On the boundedness of canonical models1
Precobordism and cobordism1
A weighted one-level density of families of L-functions1
Fitting ideals of class groups for CM abelian extensions1
Essential finite generation of valuation rings in characteristic zero algebraic function fields1
1
1
Maximizing Sudler products via Ostrowski expansions and cotangent sums1
Operations in connective K-theory1
The core of monomial ideals1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent1
1
Base sizes for primitive groups with soluble stabilisers1
Semisimple algebras and PI-invariants of finite dimensional algebras1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes1
The integral monodromy of isolated quasihomogeneous singularities1
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves1
Lower bounds for discrete negative moments of the Riemann zeta function1
Separating G2-invariants of several octonions1
Pathological behavior of arithmetic invariants of unipotent groups1
Quadratic points on intersections of two quadrics1
Uniform bounds for the number of rational points on varieties over global fields1
Constructions of difference sets in nonabelian 2-groups1
1
Application of a polynomial sieve: beyond separation of variables1
Remarks on generating series for special cycles on orthogonal Shimura varieties1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic1
Automorphisms of Cartan modular curves of prime and composite level1
Elliptic KZB connections via universal vector extensions1
1
Malle’s conjecture for fair counting functions1
Index of coregularity zero log Calabi–Yau pairs1
1
Frobenius splitting of valuation rings and F-singularities of centers1
Some refinements of the Deligne–Illusie theorem0
Stability of normal bundles of space curves0
On the D-module of an isolated singularity0
Explicit computation of symmetric differentials and its application to quasihyperbolicity0
Smooth cuboids in group theory0
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic0
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula0
Zero-sum subsets in vector spaces over finite fields0
Tamely ramified covers of the projective line with alternating and symmetric monodromy0
Rational dynamical systems, S-units, and D-finite power series0
Paucity of rational points on fibrations with multiple fibres0
On the first nontrivial strand of syzygies of projective schemes and condition ND(ℓ)0
Fermat’s last theorem over ℚ(,)0
Curves with few bad primes over cyclotomic ℤℓ-extensions0
Generalized Igusa functions and ideal growth in nilpotent Lie rings0
On the Bombieri–Lang conjecture over finitely generated fields0
The structure of Frobenius kernels for automorphism group schemes0
Terminal orders on arithmetic surfaces0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus0
Artin’s conjecture for Drinfeld modules0
A transference principle for systems of linear equations, and applications to almost twin primes0
Descent on elliptic surfaces and arithmetic bounds for the Mordell–Weil rank0
Differences between perfect powers: prime power gaps0
Smooth numbers are orthogonal to nilsequences0
0
Parametrizing roots of polynomial congruences0
Affine Deligne–Lusztig varieties with finite Coxeter parts0
Morphismes de périodes et cohomologie syntomique0
0
Divisibility of character values of the symmetric group by prime powers0
Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules0
Bézoutians and the ????1-degree0
On self-correspondences on curves0
On Tamagawa numbers of CM tori0
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups0
Maximal subgroups of exceptional groups and Quillen’s dimension0
Frobenius lifts and elliptic curves with complex multiplication0
Theta correspondence and simple factors in global Arthur parameters0
Transcendental series of reciprocals of Fibonacci and Lucas numbers0
0
Quadratic relations between Bessel moments0
Spectral reciprocity via integral representations0
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields0
Infinitesimal dilogarithm on curves over truncated polynomial rings0
0
0
Weyl sums with multiplicative coefficients and joint equidistribution0
Modèle local des schémas de Hilbert–Siegel de niveau Γ1(p)0
Multiplicative preprojective algebras are 2-Calabi–Yau0
Differentially large fields0
The unit equation over cyclic number fields of prime degree0
Constructions of difference sets in nonabelian 2-groups0
Pullback formulas for arithmetic cycles on orthogonal Shimura varieties0
Cohomologie analytique des arrangements d’hyperplans0
The Manin–Mumford conjecture and the Tate–Voloch conjecture for a product of Siegel moduli spaces0
On the maximum gonality of a curve over a finite field0
Universal abelian variety and Siegel modular forms0
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp0
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower0
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums0
Cotangent bundle and microsupports in the mixed characteristic case0
Scattering diagrams for generalized cluster algebras0
Sur les espaces homogènes de Borovoi–Kunyavskii0
Stacked pseudo-convergent sequences and polynomial Dedekind domains0
On Ozaki’s theorem realizing prescribed p-groups as p-class tower groups0
Topological spectrum and perfectoid Tate rings0
0
On the commuting probability of p-elements in a finite group0
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata0
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
On the Grothendieck-Serre conjecture about principal bundles and its generalizations0
Free rational curves on low degree hypersurfaces and the circle method0
Arithmetic Siegel–Weil formula on ????0(N)0
Experiments on the Brauer map in high codimension0
Explicit isogenies of prime degree over number fields0
Tame fundamental groups of pure pairs and Abhyankar’s lemma0
Distinction inside L-packets of SL(n)0
0
Unramifiedness of weight 1 Hilbert Hecke algebras0
Weakly special test configurations of log canonical Fano varieties0
Motivic distribution of rational curves and twisted products of toric varieties0
0
A deterministic algorithm for Harder–Narasimhan filtrations for representations of acyclic quivers0
The principal block of a ℤℓ-spets and Yokonuma type algebras0
Perfectoid towers and their tilts : with an application to the étale cohomology groups of local log-regular rings0
0
Moduli of linear slices of high degree smooth hypersurfaces0
Serre weights for three-dimensional wildly ramified Galois representations0
Snowflake modules and Enright functor for Kac–Moody superalgebras0
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra0
Metaplectic cusp forms and the large sieve0
Reconstructing function fields from Milnor K-theory0
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