Algebra & Number Theory

Article	Citations
Sporadic cubic torsion	20
Base sizes for primitive groups with soluble stabilisers	14
A proof of Perrin-Riou’s Heegner point main conjecture	13
Galois representations attached to elliptic curves with complex multiplication	9
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity	8
Cohomology of cluster varieties, I: Locally acyclic case	8
Algorithms for orbit closure separation for invariants and semi-invariants of matrices	8
Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan	7
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra	7
Torsion points on elliptic curves over number fields of small degree	7
Statistics of the first Galois cohomology group : A refinement of Malle’s conjecture	7
Curtis homomorphisms and the integral Bernstein center for GLn	7
On the commuting probability of p-elements in a finite group	6
Arithmetic exponent pairs for algebraic trace functions and applications	6
Moduli spaces of symmetric cubic fourfolds and locally symmetric varieties	6
Skeletons of Prym varieties and Brill–Noether theory	6
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)	6
Epsilon dichotomy for linear models	6
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces	5
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces	5
Uniform bounds for the number of rational points on varieties over global fields	5
Chebyshev’s bias in dihedral and generalized quaternion Galois groups	5
Lower bounds for discrete negative moments of the Riemann zeta function	5
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula	4
McKay bijections for symmetric and alternating groups	4

Torsion orders of Fano hypersurfaces	4
On moment map and bigness of tangent bundles of G-varieties	4
Remarks on generating series for special cycles on orthogonal Shimura varieties	4
Functional transcendence for the unipotent Albanese map	4
Reduction type of smooth plane quartics	4
On Héthelyi–Külshammer’s conjecture for principal blocks	4
The structure of Frobenius kernels for automorphism group schemes	4
The geometric average size of Selmer groups over function fields	4
The F-rational signature and drops in the Hilbert–Kunz multiplicity	4
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata	3
The Hodge ring of varieties in positive characteristic	3
Harmonic theta series and the Kodaira dimension of ?6	3
Optimal lifting for the projective action of SL3(ℤ)	3
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp	3
Friezes satisfying higher SLk-determinants	3
The integral monodromy of isolated quasihomogeneous singularities	3
Manin’s conjecture and the Fujita invariant of finite covers	3
Greatest common divisors of integral points of numerically equivalent divisors	3
Precobordism and cobordism	3
Patching and multiplicity 2k for Shimura curves	3
The mean values of cubic L-functions over function fields	3
Higher frames and G-displays	3
Quadratic relations between Bessel moments	3
Monoidal abelian envelopes and a conjecture of Benson and Etingof	3
Modular compactifications of ℳ2,n with Gorenstein curves	3
Pathological behavior of arithmetic invariants of unipotent groups	3
The cancellation of projective modules of rank 2 with a trivial determinant	3
p-adic estimates of exponential sums on curves	3
Quadratic points on intersections of two quadrics	2
Generating series of a new class of orthogonal Shimura varieties	2
On the distribution of lattice points on hyperbolic circles	2
A quaternionic Saito–Kurokawa lift and cusp forms on G2	2
On the Breuil–Schneider conjecture : generic case	2
Topological spectrum and perfectoid Tate rings	2
The arithmetic Kuznetsov formula on GL(3), II: The general case	2
Differences between perfect powers: prime power gaps	2
Differential operators mod p : analytic continuation and consequences	2
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields	2
Classification of subbundles on the Fargues–Fontaine curve	2
On some families of Gushel–Mukai fourfolds	2
On odd-dimensional modular tensor categories	2
Motivic Euler products in motivic statistics	2
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3	2
Roth’s Theorem over arithmetic function fields	2
Multiplicities and Betti numbers in local algebra via lim Ulrich points	2
The G-stable rank for tensors and the cap set problem	2
On unipotent radicals of motivic Galois groups	2
Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families	2
Birational geometry of moduli spaces of configurations of points on the line	2
Equivariant Grothendieck–Riemann–Roch and localization in operational K-theory	2

An analogue of the Grothendieck–Springer resolution for symmetric spaces	2
On the Grothendieck-Serre conjecture about principal bundles and its generalizations	2
Weakly special test configurations of log canonical Fano varieties	2
The Navarro conjecture for the alternating groups	2
Vinogradov’s theorem with Fouvry–Iwaniec primes	2
An algebraic framework for noncommutative bundles with homogeneous fibres	2
Support varieties and modules of finite projective dimension for modular Lie superalgebras	2
Stability of normal bundles of space curves	2
Maximizing Sudler products via Ostrowski expansions and cotangent sums	2
Automorphisms of Cartan modular curves of prime and composite level	2
The Erdős–Selfridge problem with square-free moduli	2
Supersolvable descent for rational points	2
Discriminant groups of wild cyclic quotient singularities	2
Multiplicative preprojective algebras are 2-Calabi–Yau	2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves	2
Experiments on the Brauer map in high codimension	2
Some refinements of the Deligne–Illusie theorem	2
Categorifications of rational Hilbert series and characters of FSop modules	2
Transcendental series of reciprocals of Fibonacci and Lucas numbers	1
A proof of the Brown–Goodearl conjecture for module-finite weak Hopf algebras	1
Resolution of ideals associated to subspace arrangements	1
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves	1
A Hecke algebra on the double cover of a Chevalley group over ℚ2	1
A weighted one-level density of families of L-functions	1
On the birational section conjecture over finitely generated fields	1
Rational dynamical systems, S-units, and D-finite power series	1
Counting abelian varieties over finite fields via Frobenius densities	1
Partial sums of typical multiplicative functions over short moving intervals	1
On the geometry of geometric rank	1
Torsion points on theta divisors and semihomogeneous vector bundles	1
A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms	1
Frobenius–Witt differentials and regularity	1
Generic planar algebraic vector fields are strongly minimal and disintegrated	1
Artin’s conjecture for Drinfeld modules	1
Frobenius lifts and elliptic curves with complex multiplication	1
On fake linear cycles inside Fermat varieties	1
The diagonal coinvariant ring of a complex reflection group	1
A p-adic Simpson correspondence for rigid analytic varieties	1
Global dimension of real-exponent polynomial rings	1
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups	1
Explicit computation of symmetric differentials and its application to quasihyperbolicity	1
On the geometry and representation theory of isomeric matrices	1
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect	1
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points	1
Hybrid subconvexity bounds for twists of GL(3) ×GL(2) L-functions	1
Spectral reciprocity via integral representations	1
Positivity determines the quantum cohomology of Grassmannians	1
Flag manifolds over semifields	1
Axiomatizing the existential theory of ?q((t))	1
Additive properties of numbers with restricted digits	1
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums	1
Separation of periods of quartic surfaces	1
Morphismes de périodes et cohomologie syntomique	1
GKM-theory for torus actions on cyclic quiver Grassmannians	1
On some modular contractions of the moduli space of stable pointed curves	1
The Laplace transform of the second moment in the Gauss circle problem	1
Relative crystalline representations and p-divisible groups in the small ramification case	1
Generalized Igusa functions and ideal growth in nilpotent Lie rings	1
Integral period relations and congruences	1
The unit equation over cyclic number fields of prime degree	1
Multiplicity structure of the arc space of a fat point	1
Isotriviality, integral points, and primitive primes in orbits in characteristic p	1
Snowflake modules and Enright functor for Kac–Moody superalgebras	1
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces	1
The de Rham–Fargues–Fontaine cohomology	1
Waring and cactus ranks and strong Lefschetz property for annihilators of symmetric forms	1
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic	1
The log product formula	1
Enveloppe étale de morphismes plats	1
Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant	1
Bézoutians and the ?1-degree	1
Arithmetic properties of Fourier coefficients of meromorphic modular forms	1
Theta correspondence and simple factors in global Arthur parameters	0
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	0
Correction to the article Height bounds and the Siegel property	0
Tame fundamental groups of pure pairs and Abhyankar’s lemma	0
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ1	0
A note on Lie algebra cohomology	0
	0

Projective orbifolds of Nikulin type	0
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower	0
Integral p-adic Hodge theory of formal schemes in low ramification	0
One-level density estimates for Dirichlet L-functions with extended support	0
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Arbitrarily large Morita Frobenius numbers	0
Local constancy of intersection numbers	0
Quotients of admissible formal schemes and adic spaces by finite groups	0
Word measures on GLn(q) and free group algebras	0
Saturation bounds for smooth varieties	0
	0
The wavefront sets of unipotent supercuspidal representations	0
Prime values of f(a,b2) and f(a,p2), f quadratic	0
On the p-adic interpolation of unitary Friedberg–Jacquet periods	0
An equivariant Tamagawa number formula for Drinfeld modules and applications	0
A short resolution of the diagonal for smooth projective toric varieties of Picard rank 2	0
	0
Refined height pairing	0
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent	0
Functorial embedded resolution via weighted blowings up	0
A transference principle for systems of linear equations, and applications to almost twin primes	0
	0
Rooted tree maps for multiple L-values from a perspective of harmonic algebras	0
On the ordinary Hecke orbit conjecture	0
Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect	0
Locally analytic vector bundles on the Fargues–Fontaine curve	0
The local Langlands correspondence for GLn over function fields	0
Sums of two squares are strongly biased towards quadratic residues	0
Geometric properties of the Kazhdan–Lusztig Schubert basis	0
Wild ramification, nearby cycle complexes, and characteristic cycles of ℓ-adic sheaves	0
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Essential finite generation of valuation rings in characteristic zero algebraic function fields	0
Frobenius splitting of valuation rings and F-singularities of centers	0
p-groups, p-rank, and semistable reduction of coverings of curves	0
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An intriguing hyperelliptic Shimura curve quotient of genus 16	0
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Equidistribution of shapes of complex cubic fields of fixed quadratic resolvent	0
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case	0
On rationally connected varieties over C1 fields of characteristic 0	0
Motivic multiple zeta values relative to μ2	0
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields	0
Separating G2-invariants of several octonions	0
Some refinements of the Deligne–Illusie theorem	0
Tautological cycles on tropical Jacobians	0
A bound for the exterior product of S-units	0
A transference principle for systems of linear equations, and applications to almost twin primes	0
Serre weight conjectures for p-adic unitary groups of rank 2	0
A case study of intersections on blowups of the moduli of curves	0
Affine Deligne–Lusztig varieties with finite Coxeter parts	0
	0
Balmer spectra and Drinfeld centers	0
Polyhedral and tropical geometry of flag positroids	0
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Equidistribution and freeness on Grassmannians	0
Scattering diagrams for generalized cluster algebras	0
Serre weights for three-dimensional wildly ramified Galois representations	0
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The principal block of a ℤℓ-spets and Yokonuma type algebras	0
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Height of rational points on random Fano hypersurfaces	0
Exceptional characters and prime numbers in sparse sets	0
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée	0
The Chow ring of the classifying space of the unitary group	0
On self-correspondences on curves	0
	0
Computing integral points on Xns+(p)	0
On the μ-invariants of abelian varieties over function fields of positive characteristic	0
Sur les espaces homogènes de Borovoi–Kunyavskii	0
	0
Universal abelian variety and Siegel modular forms	0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus	0
	0
On Tamagawa numbers of CM tori	0
The distribution of large quadratic character sums and applications	0
Square-free OM computation of global integral bases	0
Rational approximations on toric varieties	0
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A unipotent realization of the chromatic quasisymmetric function	0
Enumeration of conjugacy classes in affine groups	0
A categorical Künneth formula for constructible Weil sheaves	0
The universal unramified module for GL(n) and the Ihara conjecture	0
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Constructions of difference sets in nonabelian 2-groups	0
Failure of the local-global principle for isotropy of quadratic forms over function fields	0
Semisimple algebras and PI-invariants of finite dimensional algebras	0
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Moduli of linear slices of high degree smooth hypersurfaces	0
Galois orbits of torsion points near atoral sets	0
Moduli spaces of morphisms into solvable algebraic groups	0