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 2021-10-01 to 2025-10-01.)
ArticleCitations
Equidistribution and freeness on Grassmannians28
Resolution of ideals associated to subspace arrangements23
Prismatic G-displays and descent theory15
Balmer spectra and Drinfeld centers14
Prime values of f(a,b2) and f(a,p2), f quadratic11
Ranks of abelian varieties in cyclotomic twist families11
The mean values of cubic L-functions over function fields10
A case study of intersections on blowups of the moduli of curves10
Motivic Euler products in motivic statistics10
Geometric properties of the Kazhdan–Lusztig Schubert basis10
Rigidity of modular morphisms via Fujita decomposition9
9
Cohomology of cluster varieties, I: Locally acyclic case8
8
Locally analytic vector bundles on the Fargues–Fontaine curve8
The log product formula8
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
Modular compactifications of ℳ2,n with Gorenstein curves6
Serre weight conjectures for p-adic unitary groups of rank 26
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces6
5
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces5
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves5
5
Multiplicities of jumping numbers5
5
Monoidal abelian envelopes and a conjecture of Benson and Etingof5
Moments in the Chebotarev density theorem: general class functions5
Square-free OM computation of global integral bases5
Enumeration of conjugacy classes in affine groups5
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations5
Separation of periods of quartic surfaces4
4
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
Moduli spaces of morphisms into solvable algebraic groups4
A p-adic Simpson correspondence for rigid analytic varieties4
Fundamental exact sequence for the pro-étale fundamental group4
On the distribution of lattice points on hyperbolic circles4
Semistable models for some unitary Shimura varieties over ramified primes4
The Chow ring of the classifying space of the unitary group4
Algebraic cycles and functorial lifts from G2 to PGSp64
4
Partial sums of typical multiplicative functions over short moving intervals4
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces4
Enveloppe étale de morphismes plats4
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic4
Functorial embedded resolution via weighted blowings up3
The diagonal coinvariant ring of a complex reflection group3
Word measures on GLn(q) and free group algebras3
Quotients of admissible formal schemes and adic spaces by finite groups3
3
3
Roth’s Theorem over arithmetic function fields3
Canonical integral models for Shimura varieties of toral type3
3
The wavefront sets of unipotent supercuspidal representations3
Extending the unconditional support in an Iwaniec–Luo–Sarnak family3
A unipotent realization of the chromatic quasisymmetric function3
p-groups, p-rank, and semistable reduction of coverings of curves3
Galois orbits of torsion points near atoral sets3
Optimal lifting for the projective action of SL3(ℤ)3
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras3
Global dimension of real-exponent polynomial rings3
Mutation and torsion pairs3
The distribution of large quadratic character sums and applications3
3
Tame fundamental groups of pure pairs and Abhyankar’s lemma3
Failure of the local-global principle for isotropy of quadratic forms over function fields3
Ideals in enveloping algebras of affine Kac–Moody algebras3
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ12
Manin’s conjecture and the Fujita invariant of finite covers2
2
Sym-Noetherianity for powers of GL-varieties2
Covering gonalities of complete intersections in positive characteristic2
Galois representations attached to elliptic curves with complex multiplication2
Tautological cycles on tropical Jacobians2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case2
GKM-theory for torus actions on cyclic quiver Grassmannians2
2
Discriminant groups of wild cyclic quotient singularities2
Flag manifolds over semifields2
The integral monodromy of isolated quasihomogeneous singularities2
The principal block of a ℤℓ-spets and Yokonuma type algebras2
2
The arithmetic Kuznetsov formula on GL(3), II: The general case2
The behavior of essential dimension under specialization, II2
A proof of Perrin-Riou’s Heegner point main conjecture2
Abelian varieties over finite fields and their groups of rational points2
On fake linear cycles inside Fermat varieties2
2
The de Rham–Fargues–Fontaine cohomology2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2
Support theory for Drinfeld doubles of some infinitesimal group schemes2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity2
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits2
The strong maximal rank conjecture and moduli spaces of curves2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves2
2
Torsion points on elliptic curves over number fields of small degree2
Separating G2-invariants of several octonions2
The core of monomial ideals1
Positivity determines the quantum cohomology of Grassmannians1
Pathological behavior of arithmetic invariants of unipotent groups1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes1
Categorifications of rational Hilbert series and characters of FSop modules1
1
1
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves1
On the boundedness of canonical models1
Frobenius splitting of valuation rings and F-singularities of centers1
On the geometry of geometric rank1
Semistable representations as limits of crystalline representations1
Uniform bounds for the number of rational points on varieties over global fields1
Constructions of difference sets in nonabelian 2-groups1
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)1
Maximizing Sudler products via Ostrowski expansions and cotangent sums1
Operations in connective K-theory1
1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent1
Elliptic KZB connections via universal vector extensions1
1
1
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée1
Malle’s conjecture for fair counting functions1
Lower bounds for discrete negative moments of the Riemann zeta function1
Base sizes for primitive groups with soluble stabilisers1
Precobordism and cobordism1
Quadratic points on intersections of two quadrics1
Refined height pairing1
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields1
Intersecting geodesics on the modular surface1
Essential finite generation of valuation rings in characteristic zero algebraic function fields1
1
1
Fitting ideals of class groups for CM abelian extensions1
Automorphisms of Cartan modular curves of prime and composite level1
Rational points of rigid-analytic sets : a Pila–Wilkie-type theorem1
Semisimple algebras and PI-invariants of finite dimensional algebras1
A geometric classification of the holomorphic vertex operator algebras of central charge 241
Index of coregularity zero log Calabi–Yau pairs1
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
1
1
Application of a polynomial sieve: beyond separation of variables1
Formal groups and lifts of the field of norms1
Modèle local des schémas de Hilbert–Siegel de niveau Γ1(p)0
Weyl sums with multiplicative coefficients and joint equidistribution0
The principal block of a ℤℓ-spets and Yokonuma type algebras0
Descent on elliptic surfaces and arithmetic bounds for the Mordell–Weil rank0
Smooth numbers are orthogonal to nilsequences0
0
Cohomologie analytique des arrangements d’hyperplans0
Affine Deligne–Lusztig varieties with finite Coxeter parts0
Bézoutians and the ????1-degree0
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp0
Divisibility of character values of the symmetric group by prime powers0
Morphismes de périodes et cohomologie syntomique0
Pullback formulas for arithmetic cycles on orthogonal Shimura varieties0
0
Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules0
Presentations of Galois groups of maximal extensions with restricted ramification0
On the commuting probability of p-elements in a finite group0
0
Wild ramification, nearby cycle complexes, and characteristic cycles of ℓ-adic sheaves0
Tamely ramified covers of the projective line with alternating and symmetric monodromy0
Free rational curves on low degree hypersurfaces and the circle method0
Transcendental series of reciprocals of Fibonacci and Lucas numbers0
Affine Deligne–Lusztig varieties via the double Bruhat graph, II : Iwahori–Hecke algebra0
Super-Hölder vectors and the field of norms0
Experiments on the Brauer map in high codimension0
Spectral reciprocity via integral representations0
The structure of Frobenius kernels for automorphism group schemes0
The Manin–Mumford conjecture and the Tate–Voloch conjecture for a product of Siegel moduli spaces0
On Tamagawa numbers of CM tori0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus0
Terminal orders on arithmetic surfaces0
A deterministic algorithm for Harder–Narasimhan filtrations for representations of acyclic quivers0
0
On self-correspondences on curves0
On Ozaki’s theorem realizing prescribed p-groups as p-class tower groups0
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic0
0
On the maximum gonality of a curve over a finite field0
Cotangent bundle and microsupports in the mixed characteristic case0
Theta correspondence and simple factors in global Arthur parameters0
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower0
Stacked pseudo-convergent sequences and polynomial Dedekind domains0
Universal abelian variety and Siegel modular forms0
Parametrizing roots of polynomial congruences0
Stability of normal bundles of space curves0
0
Explicit computation of symmetric differentials and its application to quasihyperbolicity0
Distinction inside L-packets of SL(n)0
Sur les espaces homogènes de Borovoi–Kunyavskii0
Differential operators, retracts, and toric face rings0
Quadratic relations between Bessel moments0
Geometric properties of the Kazhdan–Lusztig Schubert basis0
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata0
Multiplicities and Betti numbers in local algebra via lim Ulrich points0
Fermat’s last theorem over ℚ(,)0
On the mixed Tate property and the motivic class of the classifying stack of a finite group0
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields0
Differences between perfect powers: prime power gaps0
Paucity of rational points on fibrations with multiple fibres0
Frobenius lifts and elliptic curves with complex multiplication0
Multiplicative preprojective algebras are 2-Calabi–Yau0
Unramifiedness of weight 1 Hilbert Hecke algebras0
Topological spectrum and perfectoid Tate rings0
Differential operators mod p : analytic continuation and consequences0
Artin’s conjecture for Drinfeld modules0
Differentially large fields0
A transference principle for systems of linear equations, and applications to almost twin primes0
On the Bombieri–Lang conjecture over finitely generated fields0
Some refinements of the Deligne–Illusie theorem0
Snowflake modules and Enright functor for Kac–Moody superalgebras0
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups0
Moduli of linear slices of high degree smooth hypersurfaces0
Reconstructing function fields from Milnor K-theory0
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula0
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra0
Serre weights for three-dimensional wildly ramified Galois representations0
Scattering diagrams for generalized cluster algebras0
On the D-module of an isolated singularity0
Metaplectic cusp forms and the large sieve0
Frobenius–Witt differentials and regularity0
Curves with few bad primes over cyclotomic ℤℓ-extensions0
0
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums0
0
Torsion points on theta divisors and semihomogeneous vector bundles0
Zero-sum subsets in vector spaces over finite fields0
Maximal subgroups of exceptional groups and Quillen’s dimension0
0
Generalized Igusa functions and ideal growth in nilpotent Lie rings0
Arithmetic Siegel–Weil formula on ????0(N)0
0
Tame fundamental groups of pure pairs and Abhyankar’s lemma0
Smooth cuboids in group theory0
Weakly special test configurations of log canonical Fano varieties0
Motivic distribution of rational curves and twisted products of toric varieties0
The unit equation over cyclic number fields of prime degree0
Constructions of difference sets in nonabelian 2-groups0
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