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 2021-08-01 to 2025-08-01.)

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
A case study of intersections on blowups of the moduli of curves	10
Prismatic G-displays and descent theory	10
Geometric properties of the Kazhdan–Lusztig Schubert basis	9
The mean values of cubic L-functions over function fields	9
	8
The log product formula	8
Cohomology of cluster varieties, I: Locally acyclic case	8
Locally analytic vector bundles on the Fargues–Fontaine curve	8
Motivic Euler products in motivic statistics	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
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
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
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
Galois orbits of torsion points near atoral sets	3
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case	2
Roth’s Theorem over arithmetic function fields	2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity	2
GKM-theory for torus actions on cyclic quiver Grassmannians	2
	2
Manin’s conjecture and the Fujita invariant of finite covers	2
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ1	2
The strong maximal rank conjecture and moduli spaces of curves	2
Torsion points on elliptic curves over number fields of small degree	2

Galois representations attached to elliptic curves with complex multiplication	2
Support theory for Drinfeld doubles of some infinitesimal group schemes	2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case	2
Optimal lifting for the projective action of SL3(ℤ)	2
	2
Ideals in enveloping algebras of affine Kac–Moody algebras	2
Discriminant groups of wild cyclic quotient singularities	2
Flag manifolds over semifields	2
The de Rham–Fargues–Fontaine cohomology	2
	2
Tautological cycles on tropical Jacobians	2
On fake linear cycles inside Fermat varieties	2
The behavior of essential dimension under specialization, II	2
A proof of Perrin-Riou’s Heegner point main conjecture	2
Failure of the local-global principle for isotropy of quadratic forms over function fields	2
Canonical integral models for Shimura varieties of toral type	2
Covering gonalities of complete intersections in positive characteristic	2
The integral monodromy of isolated quasihomogeneous singularities	2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields	2
The principal block of a ℤℓ-spets and Yokonuma type algebras	2
	2
Abelian varieties over finite fields and their groups of rational points	2
The arithmetic Kuznetsov formula on GL(3), II: The general case	2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves	2