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 2021-10-01 to 2025-10-01.)

Article	Citations
Equidistribution and freeness on Grassmannians	28
Resolution of ideals associated to subspace arrangements	23
Prismatic G-displays and descent theory	15
Balmer spectra and Drinfeld centers	14
Prime values of f(a,b2) and f(a,p2), f quadratic	11
Ranks of abelian varieties in cyclotomic twist families	11
Motivic Euler products in motivic statistics	10
Geometric properties of the Kazhdan–Lusztig Schubert basis	10
The mean values of cubic L-functions over function fields	10
A case study of intersections on blowups of the moduli of curves	10
Rigidity of modular morphisms via Fujita decomposition	9
	9
Locally analytic vector bundles on the Fargues–Fontaine curve	8
The log product formula	8
Cohomology of cluster varieties, I: Locally acyclic case	8
	8
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect	7
	7
Modular compactifications of ℳ2,n with Gorenstein curves	6
Serre weight conjectures for p-adic unitary groups of rank 2	6
Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces	6
A modification of the linear sieve, and the count of twin primes	6
	5
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces	5
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves	5

	5
Multiplicities of jumping numbers	5
	5
Monoidal abelian envelopes and a conjecture of Benson and Etingof	5
Moments in the Chebotarev density theorem: general class functions	5
Square-free OM computation of global integral bases	5
Enumeration of conjugacy classes in affine groups	5
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations	5
A p-adic Simpson correspondence for rigid analytic varieties	4
Fundamental exact sequence for the pro-étale fundamental group	4
On the distribution of lattice points on hyperbolic circles	4
Semistable models for some unitary Shimura varieties over ramified primes	4
The Chow ring of the classifying space of the unitary group	4
Algebraic cycles and functorial lifts from G2 to PGSp6	4
	4
Partial sums of typical multiplicative functions over short moving intervals	4
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces	4
Enveloppe étale de morphismes plats	4
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic	4
Separation of periods of quartic surfaces	4
	4
Multiplicity structure of the arc space of a fat point	4
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3	4
Moduli spaces of morphisms into solvable algebraic groups	4
Quotients of admissible formal schemes and adic spaces by finite groups	3
	3
	3
Roth’s Theorem over arithmetic function fields	3
Canonical integral models for Shimura varieties of toral type	3
	3
The wavefront sets of unipotent supercuspidal representations	3
Extending the unconditional support in an Iwaniec–Luo–Sarnak family	3
A unipotent realization of the chromatic quasisymmetric function	3
p-groups, p-rank, and semistable reduction of coverings of curves	3
Galois orbits of torsion points near atoral sets	3
Optimal lifting for the projective action of SL3(ℤ)	3
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case	3
Rooted tree maps for multiple L-values from a perspective of harmonic algebras	3
Global dimension of real-exponent polynomial rings	3
Mutation and torsion pairs	3
The distribution of large quadratic character sums and applications	3
	3
Tame fundamental groups of pure pairs and Abhyankar’s lemma	3
Failure of the local-global principle for isotropy of quadratic forms over function fields	3
Ideals in enveloping algebras of affine Kac–Moody algebras	3
Functorial embedded resolution via weighted blowings up	3
The diagonal coinvariant ring of a complex reflection group	3
Word measures on GLn(q) and free group algebras	3
	2
The arithmetic Kuznetsov formula on GL(3), II: The general case	2

The behavior of essential dimension under specialization, II	2
	2
A proof of Perrin-Riou’s Heegner point main conjecture	2
Discriminant groups of wild cyclic quotient singularities	2
Abelian varieties over finite fields and their groups of rational points	2
Flag manifolds over semifields	2
The integral monodromy of isolated quasihomogeneous singularities	2
The principal block of a ℤℓ-spets and Yokonuma type algebras	2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity	2
Affine Deligne–Lusztig varieties via the double Bruhat graph, I : Semi-infinite orbits	2
The strong maximal rank conjecture and moduli spaces of curves	2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves	2
On fake linear cycles inside Fermat varieties	2
	2
	2
Torsion points on elliptic curves over number fields of small degree	2
The de Rham–Fargues–Fontaine cohomology	2
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields	2
Support theory for Drinfeld doubles of some infinitesimal group schemes	2
Covering gonalities of complete intersections in positive characteristic	2
Galois representations attached to elliptic curves with complex multiplication	2
Tautological cycles on tropical Jacobians	2
Arithmetic level raising on triple product of Shimura curves and Gross–Schoen Diagonal cycles, I : Ramified case	2
Separating G2-invariants of several octonions	2
GKM-theory for torus actions on cyclic quiver Grassmannians	2
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ1	2
Manin’s conjecture and the Fujita invariant of finite covers	2
	2
Sym-Noetherianity for powers of GL-varieties	2