OOIR: Observatory of International Research

Papers

(The median citation count of Inventiones Mathematicae is 3. 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 2020-04-01 to 2024-04-01.)

Article	Citations
The globalization theorem for the Curvature-Dimension condition	51
Nuclear dimension of simple $$\mathrm {C}^*$$-algebras	48
Existence and uniqueness of the Liouville quantum gravity metric for $$\gamma \in (0,2)$$	37
Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature	37
Harmonic measure and quantitative connectivity: geometric characterization of the $$L^p$$-solvability of the Dirichlet problem	26
Linear stability of slowly rotating Kerr black holes	25
Reductivity of the automorphism group of K-polystable Fano varieties	24
Optimal destabilizing centers and equivariant K-stability	24
Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation	20
Positivity of the CM line bundle for families of K-stable klt Fano varieties	19
G-uniform stability and Kähler–Einstein metrics on Fano varieties	17
Local limits of uniform triangulations in high genus	16
Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials	16
Correlation energy of a weakly interacting Fermi gas	15
Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution	15
Diophantine problems and p-adic period mappings	15
The J-equation and the supercritical deformed Hermitian–Yang–Mills equation	15
Proof of the $$K(\pi , 1)$$ conjecture for affine Artin groups	14
Index of minimal spheres and isoperimetric eigenvalue inequalities	14
Minimal submanifolds from the abelian Higgs model	13
Helly meets Garside and Artin	13
Uniqueness of compact ancient solutions to three-dimensional Ricci flow	13
Random tensors, propagation of randomness, and nonlinear dispersive equations	13
Full description of Benjamin-Feir instability of stokes waves in deep water	13
New curvature conditions for the Bochner Technique	13

Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems	12
On blow up for the energy super critical defocusing nonlinear Schrödinger equations	12
Boundary regularity and stability for spaces with Ricci bounded below	12
Sharp nonuniqueness for the Navier–Stokes equations	12
Mirror symmetry for moduli spaces of Higgs bundles via p-adic integration	12
The Faber–Krahn inequality for the short-time Fourier transform	11
The spectrum of simplicial volume	11
Hyperdescent and étale K-theory	11
Hyperbolic 5-manifolds that fiber over $$S^1$$	11
Full derivation of the wave kinetic equation	10
Etingof’s conjecture for quantized quiver varieties	10
Ergodicity and type of nonsingular Bernoulli actions	10
Squarefree values of polynomial discriminants I	10
Flexibility of statistical properties for smooth systems satisfying the central limit theorem	10
MMP for co-rank one foliations on threefolds	10
Quantum difference equation for Nakajima varieties	9
Singularities and syzygies of secant varieties of nonsingular projective curves	9
Random integral matrices: universality of surjectivity and the cokernel	9
On the integral Hodge conjecture for real varieties, I	9
Constant mean curvature spheres in homogeneous three-manifolds	9
The Coven–Meyerowitz tiling conditions for 3 odd prime factors	9
Exponential decay of correlations in the two-dimensional random field Ising model	9
Plancherel formula for $${{\,\mathrm{\mathrm {GL}}\,}}_n(F){\backslash } {{\,\mathrm{\mathrm {GL}}\,}}_n(E)$$ and applications to the Ichino–Ikeda and formal degree conjectures for unitary groups	8
The local fundamental group of a Kawamata log terminal singularity is finite	8
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus	8
The critical 2d Stochastic Heat Flow	8
The canonical wall structure and intrinsic mirror symmetry	7
Strong positivity for quantum theta bases of quantum cluster algebras	7
Critical exponents for a percolation model on transient graphs	7
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D	7
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes	7
A refined Brill–Noether theory over Hurwitz spaces	7
On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes	7
o-minimal GAGA and a conjecture of Griffiths	7
Poly-$${\mathbb {Z}}$$ group actions on Kirchberg algebras II	7
A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations	7
Charmenability of arithmetic groups of product type	7
A counterexample to vanishing conjectures for negative K-theory	6
N-point spherical functions and asymptotic boundary KZB equations	6
The energy of dilute Bose gases II: the general case	6
Viterbo conjecture for Zoll symmetric spaces	6
A Dichotomy for the Weierstrass-type functions	6
The logarithmic gauged linear sigma model	6
Chaos in the incompressible Euler equation on manifolds of high dimension	6
Mixing solutions for the Muskat problem	6
Global well-posedness for the derivative nonlinear Schrödinger equation	6
On the arithmetic Siegel–Weil formula for GSpin Shimura varieties	6
Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials	6
Purely magnetic tunneling effect in two dimensions	6
Zero loci of Bernstein–Sato ideals	6

Ancient asymptotically cylindrical flows and applications	6
Picard ranks of K3 surfaces over function fields and the Hecke orbit conjecture	5
Gabor frames for rational functions	5
Martin boundary covers Floyd boundary	5
On a conjecture of Furusho over function fields	5
Multiple zeta values in deformation quantization	5
On the closure of the Hodge locus of positive period dimension	5
Ambidexterity in chromatic homotopy theory	5
Local rigidity for periodic generalised interval exchange transformations	5
Reflexive sheaves, Hermitian–Yang–Mills connections, and tangent cones	5
Tautological classes of matroids	5
Local models for Galois deformation rings and applications	5
Large Steklov eigenvalues via homogenisation on manifolds	5
The universal p-adic Gross–Zagier formula	5
CM values of higher automorphic Green functions for orthogonal groups	5
Mod p and torsion homology growth in nonpositive curvature	5
Existence of moduli spaces for algebraic stacks	5
Geometry of 1-codimensional measures in Heisenberg groups	5
The polynomial method over varieties	4
Satellites of infinite rank in the smooth concordance group	4
Universal secant bundles and syzygies of canonical curves	4
On the existence of supporting broken book decompositions for contact forms in dimension 3	4
Differential K-theory and localization formula for $$\eta $$-invariants	4
The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2	4
Random walks, spectral gaps, and Khintchine’s theorem on fractals	4
Lim Ulrich sequences and Lech’s conjecture	4
Homological branching law for $$({\mathrm {GL}}_{n+1}(F), {\mathrm {GL}}_n(F))$$: projectivity and indecomposability	4
On the growth of algebras, semigroups, and hereditary languages	4
K-stability and birational models of moduli of quartic K3 surfaces	4
Maximal estimates for averages over space curves	4
Regularity of the free boundary for the two-phase Bernoulli problem	4
Polynomial averages and pointwise ergodic theorems on nilpotent groups	4
Pólya’s conjecture for Euclidean balls	4
Vasconcelos’ conjecture on the conormal module	4
When any three solutions are independent	4
Yano’s conjecture	4
Non-virtually abelian anisotropic linear groups are not boundedly generated	4
On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions	4
Compactness theory of the space of Super Ricci flows	4
Density theorems for $${\textrm{GL}}(n)$$	4
Homological mirror symmetry for generalized Greene–Plesser mirrors	4
Higher Eisenstein elements, higher Eichler formulas and rank of Hecke algebras	4
Continuity properties of Lyapunov exponents for surface diffeomorphisms	4
Birational geometry of symplectic quotient singularities	4
Regularity for graphs with bounded anisotropic mean curvature	4
CAT(0) spaces of higher rank II	3
A topological proof of the Shapiro–Shapiro conjecture	3
Rigidity of Teichmüller space	3
Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups	3
Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent	3
Full factors, bicentralizer flow and approximately inner automorphisms	3
Very stable Higgs bundles, equivariant multiplicity and mirror symmetry	3
Conjectures and results about parabolic induction of representations of $${\text {GL}}_n(F)$$	3
An intermittent Onsager theorem	3
Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups	3
Local $${\mathcal {P}}$$ entropy and stabilized automorphism groups of subshifts	3
Cwikel’s bound reloaded	3
Equal sums in random sets and the concentration of divisors	3
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves	3
Categorical smooth compactifications and generalized Hodge-to-de Rham degeneration	3
Quasimap wall-crossing for GIT quotients	3
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	3
Distribution of values of quadratic forms at integral points	3
A proof of the instability of AdS for the Einstein-massless Vlasov system	3
A homological approach to pseudoisotopy theory. I	3
Bounds for the stalks of perverse sheaves in characteristic p and a conjecture of Shende and Tsimerman	3
Bessel F-isocrystals for reductive groups	3
Endo-parameters for p-adic classical groups	3