OOIR: Observatory of International Research

Papers

(The median citation count of Duke Mathematical Journal 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
Mean field limit for Coulomb-type flows	52
Lower tail of the KPZ equation	31
How much can the eigenvalues of a random Hermitian matrix fluctuate?	24
A variational method for Φ 3 4	21
Symmetric Mahler’s conjecture for the volume product in the 3-dimensional case	19
C*-algebras of stable rank one and their Cuntz semigroups	18
The arc-topology	16
Singularities in mixed characteristic via perfectoid big Cohen–Macaulay algebras	14
Existence of phase transition for percolation using the Gaussian free field	13
Symmetry in stationary and uniformly rotating solutions of active scalar equations	13
Square functions, nontangential limits, and harmonic measure in codimension larger than 1	12
Ising model and the positive orthogonal Grassmannian	12
Optimal Liouville theorems for superlinear parabolic problems	12
Entropic optimal transport: Geometry and large deviations	12
Toric braids and (m,n)-parking functions	11
Masur–Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves	11
Deviation inequalities for random walks	11
Small-scale creation for solutions of the SQG equation	11
Quasiflats in hierarchically hyperbolic spaces	10
The limit shape of convex hull peeling	10
The complete classification of unital graph C∗-algebras: Geometric and strong	10
Special Lagrangian submanifolds of log Calabi–Yau manifolds	10
Singular moduli for real quadratic fields: A rigid analytic approach	10
On the nonlinear Brascamp–Lieb inequality	9
The density of rational points near hypersurfaces	9

Convergence of loop-erased random walk in the natural parameterization	9
Noncommutative maximal ergodic inequalities associated with doubling conditions	8
Log-concave polynomials, I: Entropy and a deterministic approximation algorithm for counting bases of matroids	8
Birational superrigidity and K-stability of Fano complete intersections of index 1	8
A restriction estimate in R3 using brooms	8
On the singularity of random symmetric matrices	8
Apolarity, border rank, and multigraded Hilbert scheme	8
Khovanov homology detects the trefoils	8
Codimension 1 foliations with numerically trivial canonical class on singular spaces	8
The Fourier expansion of modular forms on quaternionic exceptional groups	8
Equivariant K -theory of semi-infinite flag manifolds and the Pieri–Chevalley formula	8
The fourth moment of Dirichlet L-functions along a coset and the Weyl bound	7
On the Beilinson fiber square	7
Optimal bounds for ancient caloric functions	7
Proper affine actions for right-angled Coxeter groups	7
Triple product p-adic L-functions associated to finite slope p-adic families of modular forms	7
A proof of the multiplicity 1 conjecture for min-max minimal surfaces in arbitrary codimension	7
Mod p isogeny classes on Shimura varieties with parahoric level structure	7
Crystals and monodromy of Bethe vectors	7
Chern–Simons functional and the homology cobordism group	7
On the connected components of affine Deligne–Lusztig varieties	7
Eigenvalue asymptotics for the one-particle density matrix	7
Uniqueness of the blowup at isolated singularities for the Alt–Caffarelli functional	7
BCOV invariants of Calabi–Yau manifolds and degenerations of Hodge structures	6
Inverse problem for Einstein-scalar field equations	6
Regularity of optimal transport between planar convex domains	6
The nonequivariant coherent-constructible correspondence for toric stacks	6
Anderson–Bernoulli localization on the three-dimensional lattice and discrete unique continuation principle	6
Higher-genus wall-crossing in the gauged linear sigma model	6
The geometric Bogomolov conjecture	6
A vanishing Ext-branching theorem for (GLn+1(F),GLn(F))	6
The extremals of Minkowski’s quadratic inequality	6
Nonnegativity of the CR Paneitz operator for embeddable CR manifolds	6
Random polynomials: Central limit theorems for the real roots	6
Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations	6
Invariant means and the structure of inner amenable groups	6
Rigid but not infinitesimally rigid compact complex manifolds	6
Density of rational points on a quadric bundle in P 3 × P 3	6
Tannakian categories in positive characteristic	6
Explicit equations of a fake projective plane	6
On holonomy singularities in general relativity and the Cloc0,1-inextendibility of space-times	6
Limits of Blaschke metrics	6
Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line	5
Equality of critical parameters for percolation of Gaussian free field level sets	5
Fourier multipliers in SLn(R)	5
Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds	5
Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds	5
Macaulayfication of Noetherian schemes	5
Scattering for the radial defocusing cubic nonlinear wave equation with initial data in the critical Sobolev space	5
Topological horseshoes for surface homeomorphisms	5

Sharp gradient stability for the Sobolev inequality	5
Invertibility of adjacency matrices for random d-regular graphs	5
Bernoulli disjointness	5
The minimal model program for threefolds in characteristic 5	5
Models of curves over discrete valuation rings	5
Upper tails via high moments and entropic stability	5
On the minimal diameter of closed hyperbolic surfaces	5
Negative immersions for one-relator groups	5
Actions of Cremona groups on CAT(0) cube complexes	5
Simply connected Sasaki–Einstein rational homology 5-spheres	5
Complete noncompact G2-manifolds from asymptotically conical Calabi–Yau 3-folds	5
Polyhedral approximation of metric surfaces and applications to uniformization	5
Analytic Bergman operators in the semiclassical limit	5
Singularities of Hermitian–Yang–Mills connections and Harder–Narasimhan–Seshadri filtrations	5
Planes in four-space and four associated CM points	4
Linear random walks on the torus	4
Nearly Fuchsian surface subgroups of finite covolume Kleinian groups	4
Prime numbers in two bases	4
Minimum positive entropy of complex Enriques surface automorphisms	4
Hodge theory of Kloosterman connections	4
Kakutani equivalence of unipotent flows	4
Square-root cancellation for sums of factorization functions over short intervals in function fields	4
Dynamical convexity and closed orbits on symmetric spheres	4
Kleinian Schottky groups, Patterson–Sullivan measures, and Fourier decay	4
Minimal modularity lifting for nonregular symplectic representations	4
Evolution of noncompact hypersurfaces by inverse mean curvature	4
A planarity estimate for pinched solutions of mean curvature flow	4
The Noether inequality for algebraic 3 -folds	4
A generalization of Rasmussen’s invariant, with applications to surfaces in some four-manifolds	4
Uniqueness of asymptotically conical tangent flows	4
Arithmetic representations of fundamental groups, II: Finiteness	4
Higher coherent cohomology and p -adic modular forms of singular weights	4
The Massey vanishing conjecture for number fields	4
Singularity of sparse Bernoulli matrices	4
Exact lower-tail large deviations of the KPZ equation	4
Smoothing finite group actions on three-manifolds	3
Topological invariants of groups and Koszul modules	3
Integral and rational mapping classes	3
Counting sheaves on Calabi–Yau 4-folds, I	3
Algebraic approximations of compact Kähler manifolds of algebraic codimension 1	3
Linear subspaces of hypersurfaces	3
Gradient variational problems in R2	3
Torsion groups do not act on 2-dimensional CAT(0) complexes	3
Seshadri constants and K-stability of Fano manifolds	3
Coarse decomposition of II1 factors	3
Errata for “Mapping class group and a global Torelli theorem for hyperkähler manifolds” by Misha Verbitsky	3
Upper bounds on number fields of given degree and bounded discriminant	3
Equivariant deformation quantization and coadjoint orbit method	3
Dimension of invariant measures for affine iterated function systems	3
Symplectic homology of convex domains and Clarke’s duality	3
On the analogy between real reductive groups and Cartan motion groups: Contraction of irreducible tempered representations	3
Pathology and asymmetry: Centralizer rigidity for partially hyperbolic diffeomorphisms	3
Dynamical generalizations of the prime number theorem and disjointness of additive and multiplicative semigroup actions	3
Geodesic planes in the convex core of an acylindrical 3-manifold	3
On the Hitchin morphism for higher-dimensional varieties	3
Integral p-adic étale cohomology of Drinfeld symmetric spaces	3
On the t-adic Littlewood conjecture	3
Comparison geometry of holomorphic bisectional curvature for Kähler manifolds and limit spaces	3
Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds	3
Openness of K-semistability for Fano varieties	3