[1] Weak null singularities in general relativity

[2] Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture

[3] Heights in families of abelian varieties and the geometric Bogomolov conjecture

[4] A new complete Calabi-Yau metric on C3

[5] Minimax theory for constant mean curvature hypersurfaces

[6] Maximal Independent Sets on Random Regular Graphs

[7] Geometry of canonical bases and mirror symmetry

[8] Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties

[9] Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems

[10] Arthur parameters and cuspidal automorphic modules of classical groups

[11] Nearly circular domains which are integrable close to the boundary are ellipses

[12] (1,1)-forms with specified Lagrangian phases: a priori estimates and algebraic obstructions

[13] Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion

[1] On Kronecker terms over global function fields

[2] On local singularities in ideal potential flows with free surface

[3] Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems

[4] Two-stage dimension reduction for noisy high-dimensional images and application to Cryogenic Electron Microscopy (cryo-EM)

[5] Geometric estimates for the Monge-Ampere equation

[6] Algebraic actions of discrete groups: the p-adic method

[7] Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations

[8] When Kloosterman sums meet Hecke eigenvalues

[9] Lipschitz continuity of harmonic maps between Alexandrov spaces

[10] On the unsupervised analysis of domain-specific Chinese texts

[1] Intersection of almost complex submanifolds

[2] Kodaira dimension of algebraic fiber spaces over abelian varieties

[3] Hodge-theoretic mirror symmetry for toric stacks

[4] Mirror symmetry for exceptional unimodular singularities

[5] CNN-Based Real-Time Dense Face Reconstruction with Inverse-Rendered Photo- Realistic Face Images

[6] Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension

[7] A nonlinear QR algorithm for banded nonlinear eigenvalue problems

[8] Multiscale persistent functions for biomolecular structure characterization

[9] Min-max hypersurface in manifold of positive Ricci curvature

[10] A local trace formula for the generalized Shalika model

[11] Duality and nearby cycles over general bases

[12] On Global Linear Convergence in Stochastic Nonconvex Optimization for Semidefinite Programming

[13] Fast community detection by SCORE

[14] Markovian approaches to modeling intracellular reaction processes with molecular memory

[15] An enriched network motif family regulates multistep cell fate transitions with restricted reversibility

[16] A two-component Matched Interface and Boundary (MIB) regularization for charge singularity in implicit solvation

[1] Equidistribution of minimal hypersurfaces for generic metrics

[2] Strong Oracle Optimality of Folded Concave Penalized Estimation

[3] Randomly distributed embedding making short-term high-dimensional data predictable

[4] Volume conjectures for the Reshetikhin-Turaev and the Turaev-Viro invariants

[5] Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree

[6] Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds

[7] Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature

[8] On the Local Converse Theorem for p-adic GLn

[9] Global Convergence of Splitting Methods for Nonconvex Composite Optimization

[10] Categorifications and cyclotomic rational double affine Hecke algebras

[11] Towards Ultrahigh Dimensional Feature Selection for Big Data

[12] TopologyNet: Topology based deep convolutional and multi-task neural networks for biomolecular property predictions

[13] Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems

[14] On the averaged Colmez conjecture

[15] Building Anosov flows on 3-manifolds

[16] Confidence intervals for low dimensional parameters in high dimensional linear models

[1] Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs

[2] Geodesics in the space of Kahler cone metrics

[3] Kodaira dimension of algebraic fiber spaces over abelian varieties

[4] Rigidity theorems for submetries in positive curvature

[5] A discrete uniformization theorem for polyhedral surfaces

[6] Convergence of the block Lanczos method for eigenvalue clusters

[7] On Spectral Analysis and a Novel Algorithm for Transmission Eigenvalue Problems

[8] A new complete Calabi-Yau metric on C3

[9] On positive scalar curvature and moduli of curves

[10] Foldover-Free Mesh Warping for Constrained Texture Mapping

[11] Semidefinite Relaxations for Best Rank-1 Tensor Approximations

[12] Triangular bases in quantum cluster algebras and monoidal categorification conjectures

[13] Affine walled Brauer algbras and super Schur-Weyl duality

[14] Non-LERFness of arithmetic hyperbolic manifold groups and mixed 3-manifold groups

[15] An Efficient Approach to Correspondences between Multiple Non-Rigid Parts

[16] Two Dimensional Yau-Hausdorff Distance with Applications on Comparison of DNA and Protein Sequences

[17] Kronecker limit formula over global function Fields

[18] Robust Surface Reconstruction via Dictionary Learning

[19] Lipschitz continuity of harmonic maps between Alexandrov spaces

[20] Automorphic period and the central value of Rankin-Selberg L-function

[21] Companions on Artin stack

[1] Fixed energy universality for generalized wigner matrices

[2] The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one

[3] Canonical bases arising from quantum symmetric pairs

[4] Green function, Painleve VI equation, and Eisenstein series of weight one

[5] Tits geometry and positive curvature

[6] Geometric and homological properties of affine Deligne-Lusztig varieties

[7] A Minkowski type inequality for hypersurfaces in the AntideSit-ter- Schwarzschild manifold

[8] Semi-classical measures on hyperbolic surfaces have full support

[9] Construction of Cauchy data of vacuum Einstein field equations evolving to black holes

[10] Batalin-Vilkovisky quantization and the algebraic index

[11] Period Integrals of CY and General Type Complete Intersections

[12] Macroscopic limits and phase transition in a system of self-propelled particles

[13] Mathematical picture language program

[14] On the center of quiver Hecke algebras

[15] Congruent numbers and Heegner points,

[16] Towards A+B theory in conifold transitions for Calabi-Yau threefolds

[17] Alternating ARM exponents for the critical planar ising model

[18] Exact lagrangians in a_n-singularities

[19] Negative holomorphic sectional curvature and positive canonical bundle

[20] Sparse PCA: Optimal rates and adaptive estimation

[21] The triviality of the 61-stem in stable homotopy groups of spheres

[22] Lyapunov exponents for random perturbations of some area-preserving maps including the standard map

[23] Cambridge Journal of Math

[24] Linear convergence of adaptively iterative thresholding algorithms for compressed sensing

[25] On consistency and sparsity for sliced inverse regression in high dimensions

[26] Conservation relations for the local theta correspondence

[1] Gromov-Hausdorff limits of Kahler manifolds and the finite generation conjecture

[2] CALABI-YAU MANIFOLDS WITH ISOLATED CONICAL SINGULARITIES

[3] Curve Networks for Surface Reconstruction

[4] Intrinsic Manifold SLIC: A Simple and Efficient Method for Computing Content-Sensitive Superpixels

[5] Low Dimensional Manifold Model for Image Processing

[6] On the Generalized Lanczos Trust-Region Method

[7] QUENCHED INVARIANCE PRINCIPLES FOR RANDOM WALKS AND ELLIPTIC DIFFUSIONS IN RANDOM MEDIA WITH BOUNDARY

[8] Wave-shape function analysis - when cepstrum meets time-frequency analysis

[9] Cosmetic surgeries on knots in S^3

[10] Entropy determinants, and L^2-torsion

[11] Quasi-periodic almost-collision orbits in the spatial three-body problem, Communications on Pure and Applied Mathematics

[12] SZEGO KERNEL ASYMPTOTICS FOR HIGH POWER OF CR LINE BUNDLES AND KODAIRA EMBEDDING THEOREMS ON CR MANIFOLDS

[13] A proof of Demailly's strong openness conjecture

[14] 3-Manifolds with nonnegative Ricci curvature

[15] Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions

[16] Basic Loci of Coxeter type in Shimura varieties

[17] On the distribution of Jacobi sums

[18] The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent

[19] Minimization and parameter estimation for seminorm regularization models with I-divergence constraints

[20] Decentralized dynamic optimization through the alternating direction method of multipliers

[21] Confidence intervals for low dimensional parameters in high dimensional linear models

[22] A useful variant of the Davis-Kahan theorem for statisticians

[23] Graph Connection Laplacian methods can be made robust to noise

[24] Meanfield games and model predictive control

[25] EXTRA: An Exact First-Order Algorithm for Decentralized Consensus Optimization

[26] A Fast Randomized Eigensolver with Structured LDL Factorization Update

[27] Solving Large-Scale Continuous-Time Algebraic Riccati Equations by Doubling

[28] Large covariance estimation by thresholding principal orthogonal complements

[29] Mathematical model of adult stem cell regeneration with cross-talk between genetic and epigenetic regulation

[30] Deuring's mass formula of a Mumford family

[31] Maximal families of Calabi-Yau manifolds with minimal length Yukawa coupling

[32] On the connectedness of the standard web of Calabi-Yau 3-folds and small transitions

[33] The spacetime positive mass theorem in dimensions less than eight

[34] Sebastien Picard, Xiangwen Zhang, The Fu-Yau equation with negative slope parameter

[35] Weak null singularities in general relativity

[36] Computing the full spectrum of large sparse palindromic quadratic eigenvalue problems arising from surface Green's function calculations

[37] A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations

[38] Sharp Davies-Gaffney-Grigor'yan lemma on graphs

[39] Classification of holomorphic framed vertex operator algebras of central charge 24

[40] Starshaped compact hypersurfaces with prescribed Weingarten curvature in warped product manifolds

[41] Kahler-Ricci flow with unbounded curvature

[42] L^2-estimates on p-convex Riemannian manifolds

[43] Quermassintegral preserving curvature flow in hyperbolic space

[44] On the Weil-Petersson curvature of the moduli space of Riemann surfaces of large genus

[45] On regularity lemmas and their algorithmic applications

[46] Positive Casimir and Central Characters of Split Real Quantum Groups

[47] The collapsing rate of the Kahler-Ricci flow with regular infinite time singularity

[48] Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3

[49] A complete knot invariant from contact homology

[50] Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields

[51] Mobius disjointness for analytic skew products

[52] A Sharp Schrodinger Maximal Estimate in R^2

[1] The Parisi formula has a unique minimizer

[2] On arithmetic fundamental lemmas

[3] The Noether-Lefschetz conjecture and its generalizations

[4] Witten's top Chern class via cosection localization

[5] Complete classification of compact four-manifolds with positive isotropic curvature

[6] Conserved quantities in general relativity: from the quasi-local level to spatial infinity

[7] General forms of finite population central limit theorems with applications to causal inference

[8] A block coordinate descent method for regularized multiconvex optimization with applications to nonnegative tensor factorization and completion

[9] Shtukas and the Taylor expansion of L-functions

[1] Embedded constant mean curvature tori in the three-sphere

[2] Algebraic independence of periods and logarithms of Drinfeld modules

[3] SYZ mirror symmetry for toric Calabi-Yau manifolds

[4] 4d N=2 SCFT and singularity theory Part II: complete intersection

[5] Estimating false discovery proportion under arbitrary covariance dependence

[6] Period integrals and the Riemann-Hilbert correspondence

[7] Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations

[8] Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems

[9] Mean field equations, hyperelliptic curves and modular forms: II

[10] Categorifications and cyclotomic rational double affine Hecke algebras

[1] On the dimension datum of a subgroup and its application to isospectral manifolds

[2] Lyapunov exponents for random perturbations of some area-preserving maps including the standard map

[3] Heights of Kudla-Rapoport divisors and derivatives of L-functions

[4] Sparse PCA: optimal rates and adaptive estimation

[5] Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations

[6] On the topology of the set of singularities of a solution to the Hamilton- Jacobi equation

[7] Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds

[8] Constrained total variation Deblurring models and fast algorithms based on alternating direction method of multipliers

[9] Linear relations among double zeta values in positive characteristic

[10] Torus localization and wall crossing for cosection localized virtual cycles

[11] A path-integral approach to Bayesian inference for inverse problems using the semiclassical approximation

[12] Matrix Li-Yau-Hamilton inequality for the CR heat equation in pseudohermitian (2n+1)-manifolds

[13] On quadratic orthogonal bisectional curvature

[14] Inertial proximal ADMM for linearly constrained separable convex optimization

[15] Holonomic systems for period mappings

[16] Unitary monodromy implies the smoothness along the real axis for some Painleve VI equation, I

[17] Isoparametric hypersurfaces with four principal curvatures, III,

[18] Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for P1 a,b,c ,

[19] On the finite-time blowup of a one-dimensional model for the three-dimensional axisymmetric Euler equations,

[20] Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry,

[21] On higher dimensional complex Plateau problem,

[22] Stratified bundles and etale fundamental group,

[23] Uniqueness of equivariant compactifications of Cn by a Fano manifold of Picard number 1,

[24] Balanced metrics on non-Kahler Calabi-Yau threefolds,

[25] Continuum limit of a mesoscopic model with elasticity of step motion on Vicinal surfaces,

[26] The Breuil-Mezard conjecture for non-scalar split residual representations,

[27] Triple product formula and the subconvexity bound of triple product L-function in level aspect,

[28] Hypersurfaces with nonnegative scalar curvature,

[29] Eigendecomposition of the discrete double-curl operator with application to fast eigensolver for three-dimensional photonic crystals,

[30] Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space,

[31] Automorphic integral transforms for classical groups I: endoscopy correspondences, Automorphic Forms: L-functions and related geometry: assessing the legacy of I.I. Piatetski-Shapiro,

[32] Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment,,

[33] Localizing virtual cycles by cosections,

[34] Folding-free global conformal mapping for genus-0 surfaces by harmonic energy minimization,

[35] Invariance of quantum rings under ordinary flops III: A quantum splitting principle,

[36] Quadrilateral and hexahedral mesh generation based on surface foliation theory,

[37] Mirror symmetry for exceptional unimodular singularities,

[38] Existence of minimal surfaces of arbitrary large Morse index,

[39] Good degeneration of Quot-schemes and coherent systems,

[40] Construction of Cauchy data of vacuum Einstein field equations evolving to black holes,

[41] Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces,

[42] uniruled caps and symplectic fillings,

[43] Spectral transfer for metaplectic groups. I. Local character relations,

[44] SPeriod Integrals of CY and general type complete intersections,

[45] Classification of nondegeneracy of SU(n+1) Toda system with singular sources,

[46] Heterotic string compactification and new vector bundles,

[47] On the sharp polynomial upper estimate conjecture in eight-dimensional simplex,

[48] Plurigenera of compact connected strongly pseudoconvex CR manifolds,

[49] Quasi-isometry and deformations of Calabi-Yau manifolds,

[50] Quon 3D language for quantum information,

[51] Composed inclusions of A3 and A4 subfactors,

[52] Stability analysis of the two-level orthogonal Arnoldi procedure,

[53] Quotient stacks and equivariant etale cohomology algebras: Quillen's theory revisited,

[54] A Splitting method for diffeomorphism optimization problem using Beltrami coefficients,

[55] Teichmuller mapping (T-Map) and its applications to landmark matching registrations,

[56] Rigidity of polyhedral surfaces I,

[57] Global existence of smooth solutions and convergence to Barenblatt solutions for the physical vacuum free boundary problem of compressible Euler equations with damping,

[58] On recent advance of nonlinear filtering theory: emphases on global approaches,

[59] Hamiltonian stability of the Gauss images of homogeneous isoparametric hypersurfaces I,

[60] On the formation of shocks for quasilinear wave equations,

[61] The essential skeleton of a degeneration of algebraic varieties,

[62] The eigenvector moment flow and local quantum unique ergodicity,

[63] Derived non-archimedean analytic space,

[64] On consistency and sparsity for sliced inverse regression in high dimensions,

[65] Heisenberg algebras and rational double affine Hecke algebras,

[66] Cell decomposition of some unitary group Rapoport-Zink spaces,

[67] Statistical guarantees for the EM algorithm: from population to sample-based analysis,

[68] Generalized gravitational entropy for warped anti-de Sitter space,

[69] Conservation relations for local theta correspondence,

[70] Asymptotically compatible schemes and applications to robust discretization of nonlocal models,

[71] Congruent numbers and Heegner points,

[72] Cohomology and Hodge Theory on Symplectic Manifolds: III,

[73] Seidel representations and quantum cohomology of toric orbifolds,

[74] Cohomology and Hodge theory on symplectic manifolds: I,

[75] Generalized cohomologies and supersymmetry,

[76] Nonconstant CR morphisms between compact strongly pseudoconvex CR manifolds and etale covering between resolutions of isolated singularities,

[77] Calibrating nonconvex penalized regression in ultra-high dimension,

[78] Solving large-scale nonsymmetric algebraic Riccati Equations by doubling,

[79] Negative holomorphic curvature and positive canonical bundle,

[80] Intersection of SLE paths: the double and cut point dimension of SLE,

[81] Dar's conjecture and the log-Brunn-Minkowski inequality,

[82] Geometric realizations of Lusztig's symmetries,

[83] Periodic points of birational transformations on projective surfaces,

[84] A closed formula for the asymptotic expansion of the Bergman kernel,

[85] Front quenching in the G-equation model induced by straining of cellular flow,

[86] Fast wavefront propagation(FWP) for computing exact geodesic distances on meshes,

[87] Geometric, topological and differentiable rigidity of submanifolds in space forms,

[88] Rigidity of Einstein manifolds with positive scalar curvature,

[89] The geometry on smooth toroidal compactifications of Siegel varieties,

[90] The local circular law III: general case,

[91] Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. I,

[92] On the convergence of decentralized gradient descent,

[93] An efficient algorithm of Yau-Yau method for solving nonlinear filtering problems,

[94] Yau's gradient estimates on Alexandrov spaces,

[95] The unified discrete surface Ricci flow,

[96] Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups,

[97] Min-max minimal hypersurface in (Mn+1, g) with Ric>=0 and 2<=n<=6,

[98] Object-level image segmentation using low level cues,