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 2021-06-01 to 2025-06-01.)
ArticleCitations
Resolution of ideals associated to subspace arrangements27
Equidistribution and freeness on Grassmannians18
Ranks of abelian varieties in cyclotomic twist families15
Prime values of f(a,b2) and f(a,p2), f quadratic12
A case study of intersections on blowups of the moduli of curves11
Balmer spectra and Drinfeld centers9
Motivic Euler products in motivic statistics8
Geometric properties of the Kazhdan–Lusztig Schubert basis8
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The mean values of cubic L-functions over function fields8
Cohomology of cluster varieties, I: Locally acyclic case8
Locally analytic vector bundles on the Fargues–Fontaine curve7
The log product formula7
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Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect6
Modular compactifications of ℳ2,n with Gorenstein curves5
Serre weight conjectures for p-adic unitary groups of rank 25
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces5
A modification of the linear sieve, and the count of twin primes5
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces5
Multiplicities of jumping numbers4
Enumeration of conjugacy classes in affine groups4
A p-adic Simpson correspondence for rigid analytic varieties4
Moments in the Chebotarev density theorem: general class functions4
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The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations4
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
Monoidal abelian envelopes and a conjecture of Benson and Etingof4
Separation of periods of quartic surfaces4
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic3
Semistable models for some unitary Shimura varieties over ramified primes3
The Chow ring of the classifying space of the unitary group3
On the distribution of lattice points on hyperbolic circles3
Algebraic cycles and functorial lifts from G2 to PGSp63
Partial sums of typical multiplicative functions over short moving intervals3
Multiplicity structure of the arc space of a fat point3
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Global dimension of real-exponent polynomial rings3
A unipotent realization of the chromatic quasisymmetric function3
Enveloppe étale de morphismes plats3
Algebraic realization of noncommutative near-group fusion categories3
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces3
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
The diagonal coinvariant ring of a complex reflection group3
Additive properties of numbers with restricted digits3
Fundamental exact sequence for the pro-étale fundamental group3
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Quotients of admissible formal schemes and adic spaces by finite groups2
Optimal lifting for the projective action of SL3(ℤ)2
Tautological cycles on tropical Jacobians2
Covering gonalities of complete intersections in positive characteristic2
The strong maximal rank conjecture and moduli spaces of curves2
The behavior of essential dimension under specialization, II2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
Canonical integral models for Shimura varieties of toral type2
Rooted tree maps for multiple L-values from a perspective of harmonic algebras2
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The wavefront sets of unipotent supercuspidal representations2
Word measures on GLn(q) and free group algebras2
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The arithmetic Kuznetsov formula on GL(3), II: The general case2
Galois representations attached to elliptic curves with complex multiplication2
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A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
A proof of Perrin-Riou’s Heegner point main conjecture2
Galois orbits of torsion points near atoral sets2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case2
Failure of the local-global principle for isotropy of quadratic forms over function fields2
The distribution of large quadratic character sums and applications2
p-groups, p-rank, and semistable reduction of coverings of curves2
Ideals in enveloping algebras of affine Kac–Moody algebras2
Discriminant groups of wild cyclic quotient singularities2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity2
Classification of subbundles on the Fargues–Fontaine curve2
The universal unramified module for GL(n) and the Ihara conjecture2
Abelian varieties over finite fields and their groups of rational points2
Roth’s Theorem over arithmetic function fields2
Functorial embedded resolution via weighted blowings up2
Tame fundamental groups of pure pairs and Abhyankar’s lemma2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields1
GKM-theory for torus actions on cyclic quiver Grassmannians1
On the geometry of geometric rank1
Maximizing Sudler products via Ostrowski expansions and cotangent sums1
Malle’s conjecture for fair counting functions1
Automorphisms of Cartan modular curves of prime and composite level1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes1
Semisimple algebras and PI-invariants of finite dimensional algebras1
Remarks on generating series for special cycles on orthogonal Shimura varieties1
Base sizes for primitive groups with soluble stabilisers1
Precobordism and cobordism1
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)1
1
Positivity determines the quantum cohomology of Grassmannians1
The de Rham–Fargues–Fontaine cohomology1
Support theory for Drinfeld doubles of some infinitesimal group schemes1
On fake linear cycles inside Fermat varieties1
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ11
Pathological behavior of arithmetic invariants of unipotent groups1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points1
Index of coregularity zero log Calabi–Yau pairs1
A geometric classification of the holomorphic vertex operator algebras of central charge 241
Lower bounds for discrete negative moments of the Riemann zeta function1
A weighted one-level density of families of L-functions1
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Rank 2 local systems, Barsotti–Tate groups, and Shimura curves1
Operations in connective K-theory1
Frobenius splitting of valuation rings and F-singularities of centers1
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Formal groups and lifts of the field of norms1
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The principal block of a ℤℓ-spets and Yokonuma type algebras1
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Torsion points on elliptic curves over number fields of small degree1
Categorifications of rational Hilbert series and characters of FSop modules1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent1
Application of a polynomial sieve: beyond separation of variables1
Separating G2-invariants of several octonions1
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The integral monodromy of isolated quasihomogeneous singularities1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic1
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Intersecting geodesics on the modular surface1
Fitting ideals of class groups for CM abelian extensions1
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée1
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Manin’s conjecture and the Fujita invariant of finite covers1
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Flag manifolds over semifields1
Elliptic (p,q)-difference modules0
Differences between perfect powers: prime power gaps0
Wild ramification, nearby cycle complexes, and characteristic cycles of ℓ-adic sheaves0
Breuil–Mézard conjectures for central division algebras0
Serre weights for three-dimensional wildly ramified Galois representations0
Torsion points on theta divisors and semihomogeneous vector bundles0
Sur les espaces homogènes de Borovoi–Kunyavskii0
A Hecke algebra on the double cover of a Chevalley group over ℚ20
Bézoutians and the ????1-degree0
Fermat’s last theorem over ℚ(,)0
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata0
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields0
Geometric properties of the Kazhdan–Lusztig Schubert basis0
Tame fundamental groups of pure pairs and Abhyankar’s lemma0
Cohomologie analytique des arrangements d’hyperplans0
Multiplicative preprojective algebras are 2-Calabi–Yau0
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Unramifiedness of weight 1 Hilbert Hecke algebras0
Smooth cuboids in group theory0
A transference principle for systems of linear equations, and applications to almost twin primes0
Geometry-of-numbers methods in the cusp0
Terminal orders on arithmetic surfaces0
Constructions of difference sets in nonabelian 2-groups0
The unit equation over cyclic number fields of prime degree0
Curves with few bad primes over cyclotomic ℤℓ-extensions0
A deterministic algorithm for Harder–Narasimhan filtrations for representations of acyclic quivers0
Essential finite generation of valuation rings in characteristic zero algebraic function fields0
On the Bombieri–Lang conjecture over finitely generated fields0
Maximal subgroups of exceptional groups and Quillen’s dimension0
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Saturation bounds for smooth varieties0
Generalized Igusa functions and ideal growth in nilpotent Lie rings0
On the first nontrivial strand of syzygies of projective schemes and condition ND(ℓ)0
Moduli of linear slices of high degree smooth hypersurfaces0
Presentations of Galois groups of maximal extensions with restricted ramification0
Divisibility of character values of the symmetric group by prime powers0
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp0
Explicit isogenies of prime degree over number fields0
Parametrizing roots of polynomial congruences0
On Tamagawa numbers of CM tori0
On the Grothendieck-Serre conjecture about principal bundles and its generalizations0
Explicit computation of symmetric differentials and its application to quasihyperbolicity0
Frobenius lifts and elliptic curves with complex multiplication0
The Lyndon–Demushkin method and crystalline lifts of G2-valued Galois representations0
On the D-module of an isolated singularity0
Quadratic relations between Bessel moments0
Snowflake modules and Enright functor for Kac–Moody superalgebras0
On the geometry and representation theory of isomeric matrices0
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Sato–Tate equidistribution for families of automorphic representations through the stable trace formula0
Automorphisms of del Pezzo surfaces in characteristic 20
Zero-sum subsets in vector spaces over finite fields0
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Distinction inside L-packets of SL(n)0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus0
On the mixed Tate property and the motivic class of the classifying stack of a finite group0
Modèle local des schémas de Hilbert–Siegel de niveau Γ1(p)0
Refined height pairing0
Differential operators mod p : analytic continuation and consequences0
Matrix Kloosterman sums0
Artin’s conjecture for Drinfeld modules0
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields0
Experiments on the Brauer map in high codimension0
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Differentially large fields0
Unipotent ℓ-blocks for simply connected p-adic groups0
The principal block of a ℤℓ-spets and Yokonuma type algebras0
On Ozaki’s theorem realizing prescribed p-groups as p-class tower groups0
On unipotent radicals of motivic Galois groups0
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower0
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Affine Deligne–Lusztig varieties with finite Coxeter parts0
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Scattering diagrams for generalized cluster algebras0
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums0
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Theta correspondence and simple factors in global Arthur parameters0
Morphismes de périodes et cohomologie syntomique0
The integral Chow ring of weighted blow-ups0
Free rational curves on low degree hypersurfaces and the circle method0
Topological spectrum and perfectoid Tate rings0
McKay bijections for symmetric and alternating groups0
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups0
Rational dynamical systems, S-units, and D-finite power series0
Spectral reciprocity via integral representations0
Differential operators, retracts, and toric face rings0
Descent on elliptic surfaces and arithmetic bounds for the Mordell–Weil rank0
Support varieties and modules of finite projective dimension for modular Lie superalgebras0
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic0
Infinitesimal dilogarithm on curves over truncated polynomial rings0
Transcendental series of reciprocals of Fibonacci and Lucas numbers0
Super-Hölder vectors and the field of norms0
Cotangent bundle and microsupports in the mixed characteristic case0
Weakly special test configurations of log canonical Fano varieties0
On the p-adic interpolation of unitary Friedberg–Jacquet periods0
Motivic distribution of rational curves and twisted products of toric varieties0
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On reduced arc spaces of toric varieties0
Constructions of difference sets in nonabelian 2-groups0
On some modular contractions of the moduli space of stable pointed curves0
The structure of Frobenius kernels for automorphism group schemes0
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The Manin–Mumford conjecture and the Tate–Voloch conjecture for a product of Siegel moduli spaces0
Counting abelian varieties over finite fields via Frobenius densities0
Reconstructing function fields from Milnor K-theory0
Frobenius–Witt differentials and regularity0
Some refinements of the Deligne–Illusie theorem0
Odd moments in the distribution of primes0
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra0
Universal abelian variety and Siegel modular forms0
Tamely ramified covers of the projective line with alternating and symmetric monodromy0
On self-correspondences on curves0
Stability of normal bundles of space curves0
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