Algebra & Number Theory

Article	Citations
Resolution of ideals associated to subspace arrangements	28
Equidistribution and freeness on Grassmannians	19
Ranks of abelian varieties in cyclotomic twist families	15
Prime values of f(a,b2) and f(a,p2), f quadratic	13
Balmer spectra and Drinfeld centers	11
Prismatic G-displays and descent theory	10
A case study of intersections on blowups of the moduli of curves	10
Geometric properties of the Kazhdan–Lusztig Schubert basis	9
The mean values of cubic L-functions over function fields	9
Locally analytic vector bundles on the Fargues–Fontaine curve	8
Motivic Euler products in motivic statistics	8
	8
The log product formula	8
Cohomology of cluster varieties, I: Locally acyclic case	8
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect	7
Rigidity of modular morphisms via Fujita decomposition	7
	7
	6
A modification of the linear sieve, and the count of twin primes	6
	5
Modular compactifications of ℳ2,n with Gorenstein curves	5
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces	5
Serre weight conjectures for p-adic unitary groups of rank 2	5
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces	5
Monoidal abelian envelopes and a conjecture of Benson and Etingof	4

Square-free OM computation of global integral bases	4
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves	4
A p-adic Simpson correspondence for rigid analytic varieties	4
Partial sums of typical multiplicative functions over short moving intervals	4
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces	4
Moments in the Chebotarev density theorem: general class functions	4
Multiplicities of jumping numbers	4
Separation of periods of quartic surfaces	4
	4
Fundamental exact sequence for the pro-étale fundamental group	4
Algebraic cycles and functorial lifts from G2 to PGSp6	4
	4
Enumeration of conjugacy classes in affine groups	4
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations	4
	4
Enveloppe étale de morphismes plats	4
Multiplicity structure of the arc space of a fat point	4
	4
Galois orbits of torsion points near atoral sets	3
The diagonal coinvariant ring of a complex reflection group	3
On the distribution of lattice points on hyperbolic circles	3
Semistable models for some unitary Shimura varieties over ramified primes	3
Moduli spaces of morphisms into solvable algebraic groups	3
Mutation and torsion pairs	3
	3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras	3
The wavefront sets of unipotent supercuspidal representations	3
A unipotent realization of the chromatic quasisymmetric function	3
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic	3
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3	3
	3
Extending the unconditional support in an Iwaniec–Luo–Sarnak family	3
p-groups, p-rank, and semistable reduction of coverings of curves	3
Functorial embedded resolution via weighted blowings up	3
Quotients of admissible formal schemes and adic spaces by finite groups	3
The Chow ring of the classifying space of the unitary group	3
Global dimension of real-exponent polynomial rings	3
The distribution of large quadratic character sums and applications	3
	3
Word measures on GLn(q) and free group algebras	3
Tame fundamental groups of pure pairs and Abhyankar’s lemma	3
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields	2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case	2
The principal block of a ℤℓ-spets and Yokonuma type algebras	2
	2
The arithmetic Kuznetsov formula on GL(3), II: The general case	2
Roth’s Theorem over arithmetic function fields	2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity	2
The strong maximal rank conjecture and moduli spaces of curves	2
GKM-theory for torus actions on cyclic quiver Grassmannians	2

Galois representations attached to elliptic curves with complex multiplication	2
	2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case	2
Manin’s conjecture and the Fujita invariant of finite covers	2
Optimal lifting for the projective action of SL3(ℤ)	2
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ1	2
Torsion points on elliptic curves over number fields of small degree	2
Support theory for Drinfeld doubles of some infinitesimal group schemes	2
	2
Ideals in enveloping algebras of affine Kac–Moody algebras	2
Tautological cycles on tropical Jacobians	2
Discriminant groups of wild cyclic quotient singularities	2
The behavior of essential dimension under specialization, II	2
Flag manifolds over semifields	2
A proof of Perrin-Riou’s Heegner point main conjecture	2
The de Rham–Fargues–Fontaine cohomology	2
Failure of the local-global principle for isotropy of quadratic forms over function fields	2
	2
On fake linear cycles inside Fermat varieties	2
Canonical integral models for Shimura varieties of toral type	2
Covering gonalities of complete intersections in positive characteristic	2
Abelian varieties over finite fields and their groups of rational points	2
The integral monodromy of isolated quasihomogeneous singularities	2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves	2
Intersecting geodesics on the modular surface	1
A weighted one-level density of families of L-functions	1
Constructions of difference sets in nonabelian 2-groups	1
Maximizing Sudler products via Ostrowski expansions and cotangent sums	1
	1
Pathological behavior of arithmetic invariants of unipotent groups	1
Rational points of rigid-analytic sets : a Pila–Wilkie-type theorem	1
	1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes	1
	1
Malle’s conjecture for fair counting functions	1
Semisimple algebras and PI-invariants of finite dimensional algebras	1
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée	1
Lower bounds for discrete negative moments of the Riemann zeta function	1
	1
	1
Uniform bounds for the number of rational points on varieties over global fields	1
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields	1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points	1
Operations in connective K-theory	1
Refined height pairing	1
	1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic	1
Fitting ideals of class groups for CM abelian extensions	1
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)	1
Base sizes for primitive groups with soluble stabilisers	1
	1
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves	1
Index of coregularity zero log Calabi–Yau pairs	1
Separating G2-invariants of several octonions	1
Categorifications of rational Hilbert series and characters of FSop modules	1
Remarks on generating series for special cycles on orthogonal Shimura varieties	1
	1
Application of a polynomial sieve: beyond separation of variables	1
The core of monomial ideals	1
On the geometry of geometric rank	1
Elliptic KZB connections via universal vector extensions	1
Positivity determines the quantum cohomology of Grassmannians	1
Precobordism and cobordism	1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent	1
A geometric classification of the holomorphic vertex operator algebras of central charge 24	1
Automorphisms of Cartan modular curves of prime and composite level	1
	1
	1
Frobenius splitting of valuation rings and F-singularities of centers	1
Formal groups and lifts of the field of norms	1
Sur les espaces homogènes de Borovoi–Kunyavskii	0
	0
Unramifiedness of weight 1 Hilbert Hecke algebras	0
Wild ramification, nearby cycle complexes, and characteristic cycles of ℓ-adic sheaves	0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus	0
Motivic distribution of rational curves and twisted products of toric varieties	0
Spectral reciprocity via integral representations	0
Differential operators mod p : analytic continuation and consequences	0
A deterministic algorithm for Harder–Narasimhan filtrations for representations of acyclic quivers	0
The unit equation over cyclic number fields of prime degree	0

On self-correspondences on curves	0
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata	0
Moduli of linear slices of high degree smooth hypersurfaces	0
Cohomologie analytique des arrangements d’hyperplans	0
Descent on elliptic surfaces and arithmetic bounds for the Mordell–Weil rank	0
Sporadic cubic torsion	0
	0
Transcendental series of reciprocals of Fibonacci and Lucas numbers	0
Solvable and nonsolvable finite groups of the same order type	0
Some refinements of the Deligne–Illusie theorem	0
	0
Generalized Igusa functions and ideal growth in nilpotent Lie rings	0
Breuil–Mézard conjectures for central division algebras	0
On the Bombieri–Lang conjecture over finitely generated fields	0
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula	0
	0
Pullback formulas for arithmetic cycles on orthogonal Shimura varieties	0
The principal block of a ℤℓ-spets and Yokonuma type algebras	0
	0
Quadratic relations between Bessel moments	0
Universal abelian variety and Siegel modular forms	0
On the Grothendieck-Serre conjecture about principal bundles and its generalizations	0
Fermat’s last theorem over ℚ(,)	0
Stability of normal bundles of space curves	0
Waring and cactus ranks and strong Lefschetz property for annihilators of symmetric forms	0
Weyl sums with multiplicative coefficients and joint equidistribution	0
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums	0
The structure of Frobenius kernels for automorphism group schemes	0
Modèle local des schémas de Hilbert–Siegel de niveau Γ1(p)	0
Frobenius lifts and elliptic curves with complex multiplication	0
Weakly special test configurations of log canonical Fano varieties	0
Artin’s conjecture for Drinfeld modules	0
On Tamagawa numbers of CM tori	0
	0
Differentially large fields	0
Parametrizing roots of polynomial congruences	0
On Ozaki’s theorem realizing prescribed p-groups as p-class tower groups	0
Affine Deligne–Lusztig varieties with finite Coxeter parts	0
Distinction inside L-packets of SL(n)	0
Geometric properties of the Kazhdan–Lusztig Schubert basis	0
Multiplicities and Betti numbers in local algebra via lim Ulrich points	0
Reconstructing function fields from Milnor K-theory	0
On the mixed Tate property and the motivic class of the classifying stack of a finite group	0
Unipotent ℓ-blocks for simply connected p-adic groups	0
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra	0
Theta correspondence and simple factors in global Arthur parameters	0
Geometry-of-numbers methods in the cusp	0
On unipotent radicals of motivic Galois groups	0
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower	0
On the D-module of an isolated singularity	0
Differential operators, retracts, and toric face rings	0
On reduced arc spaces of toric varieties	0
Snowflake modules and Enright functor for Kac–Moody superalgebras	0
Tamely ramified covers of the projective line with alternating and symmetric monodromy	0
On the commuting probability of p-elements in a finite group	0
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp	0
Frobenius–Witt differentials and regularity	0
	0
Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules	0
Matrix Kloosterman sums	0
Super-Hölder vectors and the field of norms	0
Morphismes de périodes et cohomologie syntomique	0
Multiplicative preprojective algebras are 2-Calabi–Yau	0
Terminal orders on arithmetic surfaces	0
Topological spectrum and perfectoid Tate rings	0
A transference principle for systems of linear equations, and applications to almost twin primes	0
Constructions of difference sets in nonabelian 2-groups	0
Arithmetic Siegel–Weil formula on ????0(N)	0
Explicit computation of symmetric differentials and its application to quasihyperbolicity	0
The Manin–Mumford conjecture and the Tate–Voloch conjecture for a product of Siegel moduli spaces	0
Divisibility of character values of the symmetric group by prime powers	0
	0
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups	0
Odd moments in the distribution of primes	0
On the maximum gonality of a curve over a finite field	0
Cotangent bundle and microsupports in the mixed characteristic case	0
Zero-sum subsets in vector spaces over finite fields	0
Syzygies of tangent-developable surfaces and K3 carpets via secant varieties	0
Bézoutians and the ????1-degree	0
Integral period relations and congruences	0
On Héthelyi–Külshammer’s conjecture for principal blocks	0
Scattering diagrams for generalized cluster algebras	0
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic	0
	0
On the first nontrivial strand of syzygies of projective schemes and condition ND(ℓ)	0
Differences between perfect powers: prime power gaps	0
Smooth cuboids in group theory	0
Presentations of Galois groups of maximal extensions with restricted ramification	0
Torsion points on theta divisors and semihomogeneous vector bundles	0
Serre weights for three-dimensional wildly ramified Galois representations	0
	0
Rational dynamical systems, S-units, and D-finite power series	0
Metaplectic cusp forms and the large sieve	0
Curves with few bad primes over cyclotomic ℤℓ-extensions	0
Tame fundamental groups of pure pairs and Abhyankar’s lemma	0