OOIR: Observatory of International Research

Papers

(The TQCC of Journal of the European Mathematical Society is 4. 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 2020-10-01 to 2024-10-01.)

Article	Citations
Maximal regularity for local minimizers of non-autonomous functionals	51
Renormalising SPDEs in regularity structures	40
Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1	27
The simplicial model of Univalent Foundations (after Voevodsky)	26
Growth of Sobolev norms for abstract linear Schrödinger equations	24
Deep learning via dynamical systems: An approximation perspective	24
Volume preserving flow and Alexandrov–Fenchel type inequalities in hyperbolic space	24
Second order differentiation formula on RCD*$(K,N)$ spaces	22
An optimal transport formulation of the Einstein equations of general relativity	19
On polynomially integrable Birkhoff billiards on surfaces of constant curvature	19
Extreme gaps between eigenvalues of Wigner matrices	18
The two-periodic Aztec diamond and matrix valued orthogonal polynomials	18
Detection of Hermitian connections in wave equations with cubic non-linearity	17
Non-Gaussian hyperplane tessellations and robust one-bit compressed sensing	17
Fast optimization via inertial dynamics with closed-loop damping	17
Compactness and lower semicontinuity in $GSBD$	15
Stable pairs and Gopakumar–Vafa type invariants for Calabi–Yau 4-folds	15
Kernels of conditional determinantal measures and the Lyons–Peres completeness conjecture	15
Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?	14
Hausdorff dimension of planar self-affine sets and measures with overlaps	14
Global existence of entropy-weak solutions to the compressible Navier–Stokes equations with non-linear density dependent viscosities	13
Contraction property for large perturbations of shocks of the barotropic Navier–Stokes system	13
Two-dimensional categorified Hall algebras	12
Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes	12
Rectifiability of the reduced boundary for sets of finite perimeter over $\operatorname{RCD}(K,N)$ spaces	12

Refined global Gross–Prasad conjecture on special Bessel periods and Böcherer’s conjecture	11
Well-posedness and large deviations for 2D stochastic Navier–Stokes equations with jumps	11
Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces	11
Macroscopic loops in the loop $O(n)$ model at Nienhuis' critical point	11
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation	10
Realizability of tropical canonical divisors	10
Riesz bases of exponentials for convex polytopes with symmetric faces	10
Stated skein algebras of surfaces	10
Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect	10
Nonuniqueness in law of stochastic 3D Navier–Stokes equations	10
Lagrangian chaos and scalar advection in stochastic fluid mechanics	10
Splitting methods and short time existence for the master equations in mean field games	9
The Lieb–Thirring inequality revisited	9
Trigonometric series and self-similar sets	9
Asymptotically efficient estimation of smooth functionals of covariance operators	9
A global Torelli theorem for singular symplectic varieties	9
Counting walks with large steps in an orthant	9
Resolution of the Oberwolfach problem	9
The monodromy of generalized Kummer varieties and algebraic cycles on their intermediate Jacobians	9
Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity	9
Improved bounds for Hadwiger’s covering problem via thin-shell estimates	9
Metric-measure boundary and geodesic flow on Alexandrov spaces	9
Twisted translation flows and effective weak mixing	9
Fundamental classes in motivic homotopy theory	9
Infinitely many new families of complete cohomogeneity one G$_2$-manifolds: G$_2$ analogues of the Taub–NUT and Eguchi–Hanson spaces	8
On the third moment of $L(\frac{1}{2}, \chi_{d})$ {II}: the number field case	8
Quasi-classical dynamics	8
Local and global applications of the Minimal Model Program for co-rank 1 foliations on threefolds	8
Trisecant flops, their associated K3 surfaces and the rationality of some cubic fourfolds	8
Geometry of geodesics through Busemann measures in directed last-passage percolation	8
GOE statistics for Lévy matrices	8
Higher rank Segre integrals over the Hilbert scheme of points	8
The number of $D_4$-fields ordered by conductor	8
On the semiclassical spectrum of the Dirichlet–Pauli operator	7
Circular law for sparse random regular digraphs	7
Rigidity of cones with bounded Ricci curvature	7
A cone restriction estimate using polynomial partitioning	7
Coulomb branches of quiver gauge theories with symmetrizers	7
Willmore minmax surfaces and the cost of the sphere eversion	7
From non-defectivity to identifiability	7
Categorical Plücker Formula and Homological Projective Duality	7
Optimal regularity for the porous medium equation	7
Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups	7
Subwavelength guided modes for acoustic waves in bubbly crystals with a line defect	7
On the distribution of ${Cl}(K)[l^\infty]$ for degree $l$ cyclic fields	7
Moments of $L$-functions and the Liouville–Green method	7
Blenders near polynomial product maps of $\mathbb{C}^2$	6
Sobolev homeomorphic extensions	6
Regularity of the singular set in the fully nonlinear obstacle problem	6
Rationality and fusion rules of exceptional $\mathcal {W}$-algebras	6

The foundations of spectral computations via the Solvability Complexity Index hierarchy	6
Controllability implies mixing II. Convergence in the dual-Lipschitz metric	6
Stability and collapse of the Lyapunov spectrum for Perron–Frobenius operator cocycles	6
Spanning surfaces in 3-graphs	6
Dynamics of a periodic-parabolic Lotka–Volterra competition-diffusion system in heterogeneous environments	6
Poisson boundaries of lamplighter groups: proof of the Kaimanovich–Vershik conjecture	6
Semiorthogonal decompositions of stable pair moduli spaces via d-critical flips	6
Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension	6
Star flows and multisingular hyperbolicity	6
Berry–Esseen bound and precise moderate deviations for products of random matrices	6
The normalized volume of a singularity is lower semicontinuous	6
Defining $R$ and $G(R)$	6
Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials	6
Fine properties of the optimal Skorokhod embedding problem	6
Propagation of smallness and control for heat equations	6
A local contact systolic inequality in dimension three	6
Real topological Hochschild homology	6
Correlation bounds for fields and matroids	6
Tightness of supercritical Liouville first passage percolation	6
The fifth moment of modular $L$-functions	6
Ruelle–Pollicott resonances for manifolds with hyperbolic cusps	6
Effective counting of simple closed geodesics on hyperbolic surfaces	5
Entire solutions to equations of minimal surface type in six dimensions	5
Bounds for twists of GL(3) $L$-functions	5
Local maxima of the systole function	5
The structure of minimal surfaces in CAT(0) spaces	5
Measure preserving diffeomorphisms of the torus are unclassifiable	5
Hitchin components for orbifolds	5
Corks, involutions, and Heegaard Floer homology	5
Automorphisms of $\mathbb C^k$ with an invariant non-recurrent attracting Fatou component biholomorphic to $\mathbb C\times (\mathbb C^\ast)^{k-1}$	5
Galois self-dual cuspidal types and Asai local factors	5
Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das)	5
Multilinear duality and factorisation for Brascamp–Lieb-type inequalities	5
$q$-opers, $QQ$-systems, and Bethe Ansatz	5
Uniform boundary controllability and homogenization of wave equations	5
On singularity formation for the two-dimensional unsteady Prandtl system around the axis	5
Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type	5
Euler systems for GSp(4)	5
Derived categories of singular surfaces	5
Finiteness of maximal geodesic submanifolds in hyperbolic hybrids	5
On polynomial-time computation of high-dimensional posterior measures by Langevin-type algorithms	5
Topological regularity of spaces with an upper curvature bound	5
Intrinsic Diophantine approximation on quadric hypersurfaces	5
Relative hard Lefschetz for Soergel bimodules	5
Circular flows for the Euler equations in two-dimensional annular domains, and related free boundary problems	5
The cohomological Hall algebra of a surface and factorization cohomology	4
A surjection theorem for maps with singular perturbation and loss of derivatives	4
Pollicott–Ruelle spectrum and Witten Laplacians	4
PBW theory for quantum affine algebras	4
Global Frobenius liftability I	4
Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space	4
A quantization proof of the uniform Yau–Tian–Donaldson conjecture	4
A non-linear version of Bourgain’s projection theorem	4
Rado's criterion over squares and higher powers	4
Landau–Ginzburg mirror symmetry conjecture	4
On the Möbius function in all short intervals	4
On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: The regime of moderately spatially anisotropic initial data	4
On the Moy–Prasad filtration	4
Heegaard Floer homology and cosmetic surgeries in $S^3$	4
Galois representations for general symplectic groups	4
Simplicial generation of Chow rings of matroids	4
The core entropy for polynomials of higher degree	4
Summability of the coefficients of a multilinear form	4
Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series	4
Instantons and L-space surgeries	4
Stable Gabor phase retrieval for multivariate functions	4
Higher dimensional steady Ricci solitons with linear curvature decay	4
Relative quantum cohomology	4
Class groups and local indecomposability for non-CM forms	4
Level spacing and Poisson statistics for continuum random Schrödinger operators	4
Superposition and mimicking theorems for conditional McKean–Vlasov equations	4
A note on pseudorandom Ramsey graphs	4
Semi-local simple connectedness of non-collapsing Ricci limit spaces	4
The rôle of Coulomb branches in 2D gauge theory	4
Fourier uniqueness pairs of powers of integers	4