Algebra & Number Theory

Article	Citations
Resolution of ideals associated to subspace arrangements	27
Equidistribution and freeness on Grassmannians	18
Ranks of abelian varieties in cyclotomic twist families	15
Prime values of f(a,b2) and f(a,p2), f quadratic	12
A case study of intersections on blowups of the moduli of curves	11
Balmer spectra and Drinfeld centers	9
Motivic Euler products in motivic statistics	8
Geometric properties of the Kazhdan–Lusztig Schubert basis	8
	8
The mean values of cubic L-functions over function fields	8
Cohomology of cluster varieties, I: Locally acyclic case	8
	7
Locally analytic vector bundles on the Fargues–Fontaine curve	7
The log product formula	7
	6
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect	6
A modification of the linear sieve, and the count of twin primes	5
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces	5
Modular compactifications of ℳ2,n with Gorenstein curves	5
Serre weight conjectures for p-adic unitary groups of rank 2	5
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces	5
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
Monoidal abelian envelopes and a conjecture of Benson and Etingof	4
Separation of periods of quartic surfaces	4

Multiplicities of jumping numbers	4
Enumeration of conjugacy classes in affine groups	4
A p-adic Simpson correspondence for rigid analytic varieties	4
Moments in the Chebotarev density theorem: general class functions	4
	4
	4
	4
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations	4
The diagonal coinvariant ring of a complex reflection group	3
Additive properties of numbers with restricted digits	3
Fundamental exact sequence for the pro-étale fundamental group	3
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic	3
Semistable models for some unitary Shimura varieties over ramified primes	3
The Chow ring of the classifying space of the unitary group	3
On the distribution of lattice points on hyperbolic circles	3
Algebraic cycles and functorial lifts from G2 to PGSp6	3
Partial sums of typical multiplicative functions over short moving intervals	3
Multiplicity structure of the arc space of a fat point	3
	3
Global dimension of real-exponent polynomial rings	3
A unipotent realization of the chromatic quasisymmetric function	3
Enveloppe étale de morphismes plats	3
Algebraic realization of noncommutative near-group fusion categories	3
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces	3
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3	3
Moduli spaces of morphisms into solvable algebraic groups	3
Ideals in enveloping algebras of affine Kac–Moody algebras	2
Discriminant groups of wild cyclic quotient singularities	2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity	2
Classification of subbundles on the Fargues–Fontaine curve	2
The universal unramified module for GL(n) and the Ihara conjecture	2
Roth’s Theorem over arithmetic function fields	2
Abelian varieties over finite fields and their groups of rational points	2
Functorial embedded resolution via weighted blowings up	2
Tame fundamental groups of pure pairs and Abhyankar’s lemma	2
	2
Quotients of admissible formal schemes and adic spaces by finite groups	2
Optimal lifting for the projective action of SL3(ℤ)	2
Tautological cycles on tropical Jacobians	2
Covering gonalities of complete intersections in positive characteristic	2
The strong maximal rank conjecture and moduli spaces of curves	2
The behavior of essential dimension under specialization, II	2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case	2
Canonical integral models for Shimura varieties of toral type	2
Rooted tree maps for multiple L-values from a perspective of harmonic algebras	2
	2
The wavefront sets of unipotent supercuspidal representations	2
Word measures on GLn(q) and free group algebras	2
	2
The arithmetic Kuznetsov formula on GL(3), II: The general case	2

Galois representations attached to elliptic curves with complex multiplication	2
	2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves	2
A proof of Perrin-Riou’s Heegner point main conjecture	2
Galois orbits of torsion points near atoral sets	2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case	2
Failure of the local-global principle for isotropy of quadratic forms over function fields	2
The distribution of large quadratic character sums and applications	2
p-groups, p-rank, and semistable reduction of coverings of curves	2
Torsion points on elliptic curves over number fields of small degree	1
Categorifications of rational Hilbert series and characters of FSop modules	1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent	1
Application of a polynomial sieve: beyond separation of variables	1
Fitting ideals of class groups for CM abelian extensions	1
Separating G2-invariants of several octonions	1
	1
The integral monodromy of isolated quasihomogeneous singularities	1
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic	1
	1
Intersecting geodesics on the modular surface	1
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée	1
	1
Manin’s conjecture and the Fujita invariant of finite covers	1
	1
Flag manifolds over semifields	1
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields	1
GKM-theory for torus actions on cyclic quiver Grassmannians	1
On the geometry of geometric rank	1
Maximizing Sudler products via Ostrowski expansions and cotangent sums	1
Malle’s conjecture for fair counting functions	1
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)	1
Automorphisms of Cartan modular curves of prime and composite level	1
Special cycles on the basic locus of unitary Shimura varieties at ramified primes	1
Semisimple algebras and PI-invariants of finite dimensional algebras	1
Remarks on generating series for special cycles on orthogonal Shimura varieties	1
Base sizes for primitive groups with soluble stabilisers	1
Precobordism and cobordism	1
	1
Positivity determines the quantum cohomology of Grassmannians	1
The de Rham–Fargues–Fontaine cohomology	1
Support theory for Drinfeld doubles of some infinitesimal group schemes	1
On fake linear cycles inside Fermat varieties	1
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ1	1
Pathological behavior of arithmetic invariants of unipotent groups	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
Index of coregularity zero log Calabi–Yau pairs	1
A geometric classification of the holomorphic vertex operator algebras of central charge 24	1
Formal groups and lifts of the field of norms	1
Lower bounds for discrete negative moments of the Riemann zeta function	1
A weighted one-level density of families of L-functions	1
	1
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves	1
Frobenius splitting of valuation rings and F-singularities of centers	1
	1
	1
	1
The principal block of a ℤℓ-spets and Yokonuma type algebras	1
	1
Odd moments in the distribution of primes	0
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra	0
Topological spectrum and perfectoid Tate rings	0
Tamely ramified covers of the projective line with alternating and symmetric monodromy	0
On self-correspondences on curves	0
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups	0
Spectral reciprocity via integral representations	0
Elliptic (p,q)-difference modules	0
Differences between perfect powers: prime power gaps	0
Descent on elliptic surfaces and arithmetic bounds for the Mordell–Weil rank	0
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic	0
Breuil–Mézard conjectures for central division algebras	0
Torsion points on theta divisors and semihomogeneous vector bundles	0
Transcendental series of reciprocals of Fibonacci and Lucas numbers	0
Cotangent bundle and microsupports in the mixed characteristic case	0
Fermat’s last theorem over ℚ(,)	0
On the p-adic interpolation of unitary Friedberg–Jacquet periods	0
A Hecke algebra on the double cover of a Chevalley group over ℚ2	0
Tame fundamental groups of pure pairs and Abhyankar’s lemma	0
On reduced arc spaces of toric varieties	0
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields	0

Unramifiedness of weight 1 Hilbert Hecke algebras	0
	0
Multiplicative preprojective algebras are 2-Calabi–Yau	0
Terminal orders on arithmetic surfaces	0
Reconstructing function fields from Milnor K-theory	0
Constructions of difference sets in nonabelian 2-groups	0
A transference principle for systems of linear equations, and applications to almost twin primes	0
Essential finite generation of valuation rings in characteristic zero algebraic function fields	0
The unit equation over cyclic number fields of prime degree	0
A deterministic algorithm for Harder–Narasimhan filtrations for representations of acyclic quivers	0
Universal abelian variety and Siegel modular forms	0
Saturation bounds for smooth varieties	0
On the Bombieri–Lang conjecture over finitely generated fields	0
	0
Stability of normal bundles of space curves	0
On the first nontrivial strand of syzygies of projective schemes and condition ND(ℓ)	0
Moduli of linear slices of high degree smooth hypersurfaces	0
Wild ramification, nearby cycle complexes, and characteristic cycles of ℓ-adic sheaves	0
Presentations of Galois groups of maximal extensions with restricted ramification	0
Divisibility of character values of the symmetric group by prime powers	0
Serre weights for three-dimensional wildly ramified Galois representations	0
Sur les espaces homogènes de Borovoi–Kunyavskii	0
Explicit isogenies of prime degree over number fields	0
Parametrizing roots of polynomial congruences	0
Bézoutians and the ????1-degree	0
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata	0
On the Grothendieck-Serre conjecture about principal bundles and its generalizations	0
Explicit computation of symmetric differentials and its application to quasihyperbolicity	0
Geometric properties of the Kazhdan–Lusztig Schubert basis	0
Cohomologie analytique des arrangements d’hyperplans	0
The Lyndon–Demushkin method and crystalline lifts of G2-valued Galois representations	0
Quadratic relations between Bessel moments	0
	0
Smooth cuboids in group theory	0
	0
Geometry-of-numbers methods in the cusp	0
On the geometry and representation theory of isomeric matrices	0
	0
Curves with few bad primes over cyclotomic ℤℓ-extensions	0
Automorphisms of del Pezzo surfaces in characteristic 2	0
Modèle local des schémas de Hilbert–Siegel de niveau Γ1(p)	0
Maximal subgroups of exceptional groups and Quillen’s dimension	0
Refined height pairing	0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus	0
Artin’s conjecture for Drinfeld modules	0
Generalized Igusa functions and ideal growth in nilpotent Lie rings	0
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields	0
Differential operators mod p : analytic continuation and consequences	0
Unipotent ℓ-blocks for simply connected p-adic groups	0
Experiments on the Brauer map in high codimension	0
Differentially large fields	0
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp	0
On unipotent radicals of motivic Galois groups	0
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower	0
On Ozaki’s theorem realizing prescribed p-groups as p-class tower groups	0
On Tamagawa numbers of CM tori	0
	0
Affine Deligne–Lusztig varieties with finite Coxeter parts	0
Frobenius lifts and elliptic curves with complex multiplication	0
	0
Scattering diagrams for generalized cluster algebras	0
On the D-module of an isolated singularity	0
Snowflake modules and Enright functor for Kac–Moody superalgebras	0
	0
Theta correspondence and simple factors in global Arthur parameters	0
	0
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula	0
The integral Chow ring of weighted blow-ups	0
Free rational curves on low degree hypersurfaces and the circle method	0
Zero-sum subsets in vector spaces over finite fields	0
Distinction inside L-packets of SL(n)	0
Rational dynamical systems, S-units, and D-finite power series	0
On the mixed Tate property and the motivic class of the classifying stack of a finite group	0
McKay bijections for symmetric and alternating groups	0
Support varieties and modules of finite projective dimension for modular Lie superalgebras	0
Matrix Kloosterman sums	0
Differential operators, retracts, and toric face rings	0
Super-Hölder vectors and the field of norms	0
	0
Infinitesimal dilogarithm on curves over truncated polynomial rings	0
Motivic distribution of rational curves and twisted products of toric varieties	0
The principal block of a ℤℓ-spets and Yokonuma type algebras	0
	0
Weakly special test configurations of log canonical Fano varieties	0
Constructions of difference sets in nonabelian 2-groups	0
	0
On some modular contractions of the moduli space of stable pointed curves	0
	0
Counting abelian varieties over finite fields via Frobenius densities	0
The structure of Frobenius kernels for automorphism group schemes	0
The Manin–Mumford conjecture and the Tate–Voloch conjecture for a product of Siegel moduli spaces	0
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums	0
Frobenius–Witt differentials and regularity	0
Some refinements of the Deligne–Illusie theorem	0
Morphismes de périodes et cohomologie syntomique	0