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 2021-05-01 to 2025-05-01.)

Article	Citations
Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families	27
Resolution of ideals associated to subspace arrangements	18
Equidistribution and freeness on Grassmannians	14
Ranks of abelian varieties in cyclotomic twist families	11
The mean values of cubic L-functions over function fields	8
A case study of intersections on blowups of the moduli of curves	8
The log product formula	8
Prime values of f(a,b2) and f(a,p2), f quadratic	8
Balmer spectra and Drinfeld centers	8
On the μ-invariants of abelian varieties over function fields of positive characteristic	7
Locally analytic vector bundles on the Fargues–Fontaine curve	7
Geometric properties of the Kazhdan–Lusztig Schubert basis	7
Cohomology of cluster varieties, I: Locally acyclic case	7
Motivic Euler products in motivic statistics	7
	7
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	6
	6
	6
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	4
Enumeration of conjugacy classes in affine groups	4
Multiplicities of jumping numbers	4

	4
Monoidal abelian envelopes and a conjecture of Benson and Etingof	4
On Kato and Kuzumaki’s properties for the Milnor K2 of function fields of p-adic curves	4
Square-free OM computation of global integral bases	4
A p-adic Simpson correspondence for rigid analytic varieties	4
Moments in the Chebotarev density theorem: general class functions	4
	4
	4
Enveloppe étale de morphismes plats	3
Partial sums of typical multiplicative functions over short moving intervals	3
Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan	3
Algebraic cycles and functorial lifts from G2 to PGSp6	3
Semistable models for some unitary Shimura varieties over ramified primes	3
Separation of periods of quartic surfaces	3
Additive properties of numbers with restricted digits	3
Algebraic realization of noncommutative near-group fusion categories	3
On the distribution of lattice points on hyperbolic circles	3
Fundamental exact sequence for the pro-étale fundamental group	3
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces	3
	3
Tate modules of isocrystals and good reduction of Drinfeld modules	3
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations	3
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic	3
Multiplicity structure of the arc space of a fat point	3
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3	3
	2
The diagonal coinvariant ring of a complex reflection group	2
Moduli spaces of morphisms into solvable algebraic groups	2
Quotients of admissible formal schemes and adic spaces by finite groups	2
Galois orbits of torsion points near atoral sets	2
Galois representations attached to elliptic curves with complex multiplication	2
A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves	2
Classification of subbundles on the Fargues–Fontaine curve	2
Optimal lifting for the projective action of SL3(ℤ)	2
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case	2
Canonical integral models for Shimura varieties of toral type	2
	2
The distribution of large quadratic character sums and applications	2
A unipotent realization of the chromatic quasisymmetric function	2
A proof of the Brown–Goodearl conjecture for module-finite weak Hopf algebras	2
Roth’s Theorem over arithmetic function fields	2
Functorial embedded resolution via weighted blowings up	2
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity	2
The universal unramified module for GL(n) and the Ihara conjecture	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
Tame fundamental groups of pure pairs and Abhyankar’s lemma	2
Tautological cycles on tropical Jacobians	2
	2
Word measures on GLn(q) and free group algebras	2

The Chow ring of the classifying space of the unitary group	2
Global dimension of real-exponent polynomial rings	2
The wavefront sets of unipotent supercuspidal representations	2
Abelian varieties over finite fields and their groups of rational points	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
A note on Lie algebra cohomology	2
Rooted tree maps for multiple L-values from a perspective of harmonic algebras	2
The Navarro conjecture for the alternating groups	2
p-groups, p-rank, and semistable reduction of coverings of curves	2