OOIR: Observatory of International Research

Papers

(The TQCC of Algebra & Number Theory is 2. 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 2021-02-01 to 2025-02-01.)

Article	Citations
Resolution of ideals associated to subspace arrangements	20
Sur les espaces homogènes de Borovoi–Kunyavskii	14
Computing integral points on Xns+(p)	13
Frobenius splitting of valuation rings and F-singularities of centers	9
Projective orbifolds of Nikulin type	8
The Chow ring of the classifying space of the unitary group	8
The local Langlands correspondence for GLn over function fields	7
Wild ramification, nearby cycle complexes, and characteristic cycles of ℓ-adic sheaves	7
A proof of the Brown–Goodearl conjecture for module-finite weak Hopf algebras	7
Height of rational points on random Fano hypersurfaces	7
Global dimension of real-exponent polynomial rings	7
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ1	7
On the ordinary Hecke orbit conjecture	6
Supersolvable descent for rational points	6
On some modular contractions of the moduli space of stable pointed curves	6
	6
Arithmetic properties of Fourier coefficients of meromorphic modular forms	5
The diagonal coinvariant ring of a complex reflection group	5
Moduli spaces of morphisms into solvable algebraic groups	5
The integral monodromy of isolated quasihomogeneous singularities	5
A transference principle for systems of linear equations, and applications to almost twin primes	4
Balmer spectra and Drinfeld centers	4
Constructions of difference sets in nonabelian 2-groups	4
The wavefront sets of unipotent supercuspidal representations	4
Morphismes de périodes et cohomologie syntomique	4

Refined height pairing	4
Frobenius lifts and elliptic curves with complex multiplication	4
Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families	4
	4
Equidistribution and freeness on Grassmannians	4
A case study of intersections on blowups of the moduli of curves	4
Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant	3
Prime values of f(a,b2) and f(a,p2), f quadratic	3
Automorphisms of Cartan modular curves of prime and composite level	3
Lower bounds for discrete negative moments of the Riemann zeta function	3
p-adic estimates of exponential sums on curves	3
A quaternionic Saito–Kurokawa lift and cusp forms on G2	3
On moment map and bigness of tangent bundles of G-varieties	3
The F-rational signature and drops in the Hilbert–Kunz multiplicity	3
A unipotent realization of the chromatic quasisymmetric function	3
Topological spectrum and perfectoid Tate rings	3
	3
The G-stable rank for tensors and the cap set problem	3
Higher frames and G-displays	3
Stability of normal bundles of space curves	3
A bound for the exterior product of S-units	3
Quotients of admissible formal schemes and adic spaces by finite groups	3
Friezes satisfying higher SLk-determinants	3
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields	3
Epsilon dichotomy for linear models	3
On Tamagawa numbers of CM tori	3
The mean values of cubic L-functions over function fields	2
	2
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée	2
Tame fundamental groups of pure pairs and Abhyankar’s lemma	2
Integral p-adic Hodge theory of formal schemes in low ramification	2
Motivic Euler products in motivic statistics	2
Universal abelian variety and Siegel modular forms	2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case	2
The cancellation of projective modules of rank 2 with a trivial determinant	2
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums	2
Separating G2-invariants of several octonions	2
Reduction type of smooth plane quartics	2
The log product formula	2
Vinogradov’s theorem with Fouvry–Iwaniec primes	2
	2
Quadratic points on intersections of two quadrics	2
p-groups, p-rank, and semistable reduction of coverings of curves	2
Index of coregularity zero log Calabi–Yau pairs	2
	2
	2
Roth’s Theorem over arithmetic function fields	2
Skeletons of Prym varieties and Brill–Noether theory	2
The distribution of large quadratic character sums and applications	2
On the μ-invariants of abelian varieties over function fields of positive characteristic	2

Uniform bounds for the number of rational points on varieties over global fields	2
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp	2
Geometric properties of the Kazhdan–Lusztig Schubert basis	2
Essential finite generation of valuation rings in characteristic zero algebraic function fields	2
An algebraic framework for noncommutative bundles with homogeneous fibres	2
Axiomatizing the existential theory of ????q((t))	2
Cohomology of cluster varieties, I: Locally acyclic case	2
	2
Generic planar algebraic vector fields are strongly minimal and disintegrated	2
Base sizes for primitive groups with soluble stabilisers	2
Picard rank jumps for K3 surfaces with bad reduction	2
One-level density estimates for Dirichlet L-functions with extended support	2
Word measures on GLn(q) and free group algebras	2
Ranks of abelian varieties in cyclotomic twist families	2