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 2020-11-01 to 2024-11-01.)

Article	Citations
The globalization theorem for the Curvature-Dimension condition	58
Nuclear dimension of simple $$\mathrm {C}^*$$-algebras	55
Optimal destabilizing centers and equivariant K-stability	30
Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation	25
Random tensors, propagation of randomness, and nonlinear dispersive equations	22
G-uniform stability and Kähler–Einstein metrics on Fano varieties	22
Positivity of the CM line bundle for families of K-stable klt Fano varieties	22
The J-equation and the supercritical deformed Hermitian–Yang–Mills equation	21
Sharp nonuniqueness for the Navier–Stokes equations	20
Proof of the $$K(\pi , 1)$$ conjecture for affine Artin groups	19
Full derivation of the wave kinetic equation	17
Uniqueness of compact ancient solutions to three-dimensional Ricci flow	17
On blow up for the energy super critical defocusing nonlinear Schrödinger equations	17
Helly meets Garside and Artin	16
The Faber–Krahn inequality for the short-time Fourier transform	16
Correlation energy of a weakly interacting Fermi gas	15
Full description of Benjamin-Feir instability of stokes waves in deep water	15
Hyperbolic 5-manifolds that fiber over $$S^1$$	15
Boundary regularity and stability for spaces with Ricci bounded below	15
Critical exponents for a percolation model on transient graphs	14
The critical 2d Stochastic Heat Flow	13
Squarefree values of polynomial discriminants I	13
Hyperdescent and étale K-theory	13
MMP for co-rank one foliations on threefolds	13
An intermittent Onsager theorem	12

Exponential decay of correlations in the two-dimensional random field Ising model	12
Global well-posedness for the derivative nonlinear Schrödinger equation	12
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus	11
Flexibility of statistical properties for smooth systems satisfying the central limit theorem	11
Existence of moduli spaces for algebraic stacks	11
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes	11
The local fundamental group of a Kawamata log terminal singularity is finite	11
Random integral matrices: universality of surjectivity and the cokernel	11
Quantum difference equation for Nakajima varieties	11
Ancient asymptotically cylindrical flows and applications	11
Ergodicity and type of nonsingular Bernoulli actions	10
Very stable Higgs bundles, equivariant multiplicity and mirror symmetry	10
A Dichotomy for the Weierstrass-type functions	10
Purely magnetic tunneling effect in two dimensions	10
The energy of dilute Bose gases II: the general case	10
A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations	10
The Coven–Meyerowitz tiling conditions for 3 odd prime factors	10
The canonical wall structure and intrinsic mirror symmetry	10
Strong positivity for quantum theta bases of quantum cluster algebras	10
Viterbo conjecture for Zoll symmetric spaces	10
Mixing solutions for the Muskat problem	9
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D	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	9
Poly-$${\mathbb {Z}}$$ group actions on Kirchberg algebras II	9
Tautological classes of matroids	9
Maximal estimates for averages over space curves	8
Large Steklov eigenvalues via homogenisation on manifolds	8
CM values of higher automorphic Green functions for orthogonal groups	8
o-minimal GAGA and a conjecture of Griffiths	8
Time quasi-periodic vortex patches of Euler equation in the plane	8
N-point spherical functions and asymptotic boundary KZB equations	8
Regularity of the free boundary for the two-phase Bernoulli problem	8
Local models for Galois deformation rings and applications	8
Matrix concentration inequalities and free probability	8
Gabor frames for rational functions	8
On the existence of supporting broken book decompositions for contact forms in dimension 3	8
Zero loci of Bernstein–Sato ideals	7
On the arithmetic Siegel–Weil formula for GSpin Shimura varieties	7
K-stability and birational models of moduli of quartic K3 surfaces	7
On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes	7
A counterexample to vanishing conjectures for negative K-theory	7
Ambidexterity in chromatic homotopy theory	7
A refined Brill–Noether theory over Hurwitz spaces	7
Mod p and torsion homology growth in nonpositive curvature	7
On the closure of the Hodge locus of positive period dimension	7
Picard ranks of K3 surfaces over function fields and the Hecke orbit conjecture	7
A proof of the instability of AdS for the Einstein-massless Vlasov system	6
Martin boundary covers Floyd boundary	6
Reflexive sheaves, Hermitian–Yang–Mills connections, and tangent cones	6
Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials	6

Regularity for graphs with bounded anisotropic mean curvature	6
Compactness theory of the space of Super Ricci flows	6
On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions	6
Nonuniformly elliptic Schauder theory	6
Density theorems for $${\textrm{GL}}(n)$$	6
Charmenability of arithmetic groups of product type	6
Chaos in the incompressible Euler equation on manifolds of high dimension	6
Sharp well-posedness for the Benjamin–Ono equation	6
Bessel F-isocrystals for reductive groups	6
On the Beilinson–Bloch–Kato conjecture for Rankin–Selberg motives	6
The logarithmic gauged linear sigma model	6
Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups	5
3D convex contact forms and the Ruelle invariant	5
Babai’s conjecture for high-rank classical groups with random generators	5
Random walks, spectral gaps, and Khintchine’s theorem on fractals	5
When any three solutions are independent	5
Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties	5
The universal p-adic Gross–Zagier formula	5
Pólya’s conjecture for Euclidean balls	5
Vasconcelos’ conjecture on the conormal module	5
On the growth of algebras, semigroups, and hereditary languages	5
On the Erdős covering problem: the density of the uncovered set	5
Satellites of infinite rank in the smooth concordance group	5
A homological approach to pseudoisotopy theory. I	5
Geometry of 1-codimensional measures in Heisenberg groups	5
Local rigidity for periodic generalised interval exchange transformations	5
Quasimap wall-crossing for GIT quotients	5
Homological branching law for $$({\mathrm {GL}}_{n+1}(F), {\mathrm {GL}}_n(F))$$: projectivity and indecomposability	5
Bourgeois contact structures: Tightness, fillability and applications	4
Yano’s conjecture	4
Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds	4
Global axisymmetric Euler flows with rotation	4
Unbounded Hankel operators and the flow of the cubic Szegő equation	4
Polynomial averages and pointwise ergodic theorems on nilpotent groups	4
Characterising rectifiable metric spaces using tangent spaces	4
Lim Ulrich sequences and Lech’s conjecture	4
Non-virtually abelian anisotropic linear groups are not boundedly generated	4
Integral points on Markoff type cubic surfaces	4
Local $${\mathcal {P}}$$ entropy and stabilized automorphism groups of subshifts	4
Homotopy invariants for "Equation missing"via Koszul duality	4
Equal sums in random sets and the concentration of divisors	4
Continuity properties of Lyapunov exponents for surface diffeomorphisms	4
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift	4
Möbius cancellation on polynomial sequences and the quadratic Bateman–Horn conjecture over function fields	4
Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent	4
Homological mirror symmetry for generalized Greene–Plesser mirrors	4
Dualizing spheres for compact p-adic analytic groups and duality in chromatic homotopy	3
Distributed algorithms, the Lovász Local Lemma, and descriptive combinatorics	3
Monoidal categorification and quantum affine algebras II	3
Quasicircles and quasiperiodic surfaces in pseudo-hyperbolic spaces	3
Synthetic spectra and the cellular motivic category	3
Character levels and character bounds for finite classical groups	3
Distribution of values of quadratic forms at integral points	3
Rigidity of Teichmüller space	3
Matrix-valued Allen–Cahn equation and the Keller–Rubinstein–Sternberg problem	3
A proof of the Donaldson–Thomas crepant resolution conjecture	3
Irreducibility of random polynomials: general measures	3
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds	3
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves	3
The finiteness conjecture for skein modules	3
CAT(0) spaces of higher rank II	3
A phantom on a rational surface	3
Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups	3
The maximal subgroups of the exceptional groups $F_{4}(q)$, $E_{6}(q)$ and $^{2}\!E_{6}(q)$ and related almost simple groups	3
On the cost of the bubble set for random interlacements	3
Lorentzian Calderón problem under curvature bounds	3
Cwikel’s bound reloaded	3
Howe duality and dichotomy for exceptional theta correspondences	3
On the distribution of the Hodge locus	3
Szegő condition, scattering, and vibration of Krein strings	3
Dynamical uniform boundedness and the abc-conjecture	3
A topological proof of the Shapiro–Shapiro conjecture	3
The anisotropic Bernstein problem	3