General mathematics

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  Subject Areas on Research

  • 2-Nilpotent real section conjecture 
  • A Beale–Kato–Majda Criterion with Optimal Frequency and Temporal Localization 
  • A De Rham–Witt approach to crystalline rational homotopy theory 
  • A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces 
  • A Guide to Unipotent Variations of Mixed Hodge Structure 
  • A Legendrian Thurston–Bennequin bound from Khovanov homology 
  • A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning) 
  • A Non-Hyperelliptic Curve with Torsion Ceresa Cycle Modulo Algebraic Equivalence 
  • A Note on Aubin-Lions-Dubinskiǐ Lemmas 
  • A Note on L∞-Bound and Uniqueness to a Degenerate Keller-Segel Model 
  • A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus 
  • A REACTION-HYPERBOLIC SYSTEM IN PHYSIOLOGY 
  • A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics 
  • A bound for the 3-part of class numbers of quadratic fields by means of the square sieve 
  • A celebration or women in mathematics 
  • A circle quotient of a G_2 cone 
  • A combinatorial spanning tree model for knot Floer homology 
  • A complete knot invariant from contact homology 
  • A conjectural product formula for Brumer-Stark units over real quadratic fields 
  • A coupled chemotaxis-fluid model: Global existence 
  • A duality between transpotence elements and Massey products 
  • A duality theorem for Willmore surfaces 
  • A family of surfaces constructed from genus 2 curves 
  • A family of transversely nonsimple knots 
  • A free boundary problem arising from branching Brownian motion with selection 
  • A general regularity theorem for semilinear hyperbolic waves in one space dimension 
  • A general simple relative trace formula 
  • A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation 
  • A geometric parametrization for the virtual euler characteristics of the moduli spaces of real and complex algebraic curves 
  • A geometric theory of zero area singularities in general relativity 
  • A global code invariant under the Higman-Sims group 
  • A kleiman-bertini theorem for sheaf tensor products 
  • A linear construction for certain kerdock and preparata codes 
  • A mathematical model for the spread of morphogens with density dependent chemosensitivity 
  • A new technique to estimate the regularity of refinable functions 
  • A note on Aubin-Lions-Dubinskiǐ Lemmas 
  • A note on discrete fractional integral operators on the heisenberg group 
  • A note on knot concordance 
  • A note on the subcritical two dimensional Keller-Segel system 
  • A note on twisted discrete singular Radon transforms 
  • A polynomial Carleson operator along the paraboloid 
  • A polynomial excluded-minor approximation of treedepth 
  • A practical criterion for positivity of transition densities 
  • A presentation for the unipotent group over rings with identity 
  • A priori L^p -estimates for solutions of Riemann-Hilbert problems 
  • A refined Poisson summation formula for certain Braverman-Kazhdan spaces 
  • A simple twisted relative trace formula 
  • A skein approach to bennequin-type inequalities 
  • A solution of a problem of Sophus Lie: Normal forms of two-dimensional metrics admitting two projective vector fields 
  • A spectral mapping theorem for tensor products of unbounded operators 
  • A stability criterion for biorthogonal wavelet bases and their related subband coding scheme 
  • A steepest descent method for oscillatory Riemann-Hilbert problems 
  • A stochastic-Lagrangian particle system for the Navier-Stokes equations 
  • A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula 
  • A summation formula for triples of quadratic spaces 
  • A variational principle based study of KPP minimal front speeds in random shears 
  • A weak formulation for the multiphase Stokes flow problem without body fitting grids 
  • ACOUSTIC SCATTERING FROM LOCALLY REACTING SURFACES 
  • Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results 
  • Absolutely continuous spectrum of Stark operators 
  • Absolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentials 
  • Absolutely continuous spectrum of perturbed stark operators 
  • Accelerated projected gradient method for linear inverse problems with sparsity constraints 
  • Acoustic boundary conditions 
  • Addendum to: Hodge classes on self-products of a variety with an automorphism 
  • Affine invariant detection: Edge maps, anisotropic diffusion, and active contours 
  • Affine stratifications from finite misère quotients 
  • Affine-Invariant Distances, Envelopes and Symmetry Sets 
  • Albanese standard and albanese exotic varieties 
  • Algebraic cycles on certain desingularized nodal hypersurfaces 
  • Algebraic de Rham theory for weakly holomorphic modular forms of level one 
  • Algorithms for graded injective resolutions and local cohomology over semigroup rings 
  • Alternating formulas for K-theoretic quiver polynomials 
  • An Abel map to the compactified Picard scheme realizes Poincaré duality 
  • An algebraic characterization of the point-pushing subgroup 
  • An arithmetic ball quotient surface whose Albanese variety is not of CM type 
  • An arithmetic count of the lines meeting four lines in P³ 
  • An arithmetic count of the lines on a smooth cubic surface 
  • An atlas of Legendrian knots 
  • An effective Chebotarev density theorem for families of number fields, with an application to $\ell$-torsion in class groups 
  • An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equations 
  • An exactly solvable model for nonlinear resonant scattering 
  • An integral analog of the Tate conjecture for one dimensional cycles on varieties over finite fields 
  • An invariant determining the Witt class of a unitary transformation over a semisimple ring 
  • An iterative thresholding algorithm for linear inverse problems with a sparsity constraint 
  • An upper bound for the bulk burning rate for systems 
  • Analysis and applications: The mathematical work of Elias Stein 
  • Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects 
  • Ancient and eternal solutions to mean curvature flow from minimal surfaces 
  • Andrei Zelevinsky, 1953–2013 
  • Applications of PDEs and Stochastic Modeling to Protein Transport in Cell Biology 
  • Approximate Separability of the Green's Function of the Helmholtz Equation in the High Frequency Limit 
  • Approximating a bandlimited function using very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order 
  • Approximating pointwise products of Laplacian eigenfunctions 
  • Area-Minimizing Projective Planes in 3-Manifolds 
  • Ars Mathemalchemica: From Math to Art and Back Again 
  • Asymptotic behavior of excitable cellular automata 
  • Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows 
  • Asymptotically cylindrical Calabi-Yau manifolds 
  • Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights 
  • Asymptotics for polynomials orthogonal with respect to varying exponential weights 
  • Asymptotics for the painlevé II equation 
  • Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights 
  • Asymptotics of recurrence relation coefficients, hankel determinant ratios, and root products associated with laurent polynomials orthogonal with respect to varying exponential weights 
  • Averages and moments associated to class numbers of imaginary quadratic fields 
  • Basic themes and pretty problems of nonlinear solid mechanics 
  • Bass numbers of semigroup-graded local cohomology 
  • Biextensions and heights associated to curves of odd genus 
  • Binomial D-modules 
  • Binomial D-modules 
  • Biomixing by Chemotaxis and Enhancement of Biological Reactions 
  • Biorthogonal bases of compactly supported wavelets 
  • Bivariate function algebras on Posets 
  • Black Holes, Geometric Flows, and the Penrose Inequality in General Relativity 
  • Bloch dynamics with second order Berry phase correction 
  • Blow up and regularity for fractal burgers equation 
  • Blow up for the 2D Euler equation on some bounded domains 
  • Bochner-Kähler metrics 
  • Boundary layer models of the Hou-Luo scenario 
  • Bounds for rational points on twists of constant hyperelliptic curves 
  • Braid loops with infinite monodromy on the Legendrian contact DGA 
  • Breathers in the weakly coupled topological discrete sine-Gordon system 
  • Burgess bounds for multi-dimensional short mixed character sums 
  • Burgess bounds for short character sums evaluated at forms 
  • Burgess bounds for short mixed character sums 
  • CLASSIFICATION AND UNIQUENESS OF INVARIANT GEOMETRIC FLOWS 
  • CONSTRUCTION OF SCATTERING OPERATOR FOR ABSTRACT NONLINEAR-WAVE EQUATIONS 
  • CORRECTION 
  • Calibrated associative and Cayley embeddings 
  • Calibrated embeddings in the special Lagrangian and coassociative cases 
  • Cancer modeling: A personal perspective 
  • Cauchy problems for Keller–Segel type time–space fractional diffusion equation 
  • Characteristic Cohomology of Differential Systems (I): General Theory 
  • Characteristic cohomology of differential systems (I): General theory 
  • Characteristic cohomology of differential systems, II: Conservation laws for a class of parabolic equations 
  • Characteristic cohomology of the infinitesimal period relation 
  • Characteristics and existence of isometric embeddings 
  • Characterization of Calabi–Yau variations of Hodge structure over tube domains by characteristic forms 
  • Chern classes of automorphic vector bundles 
  • Chevalleyb ases for lie modules 
  • Choiceless polynomial time, counting and the Cai-Fürer-Immerman graphs 
  • Chow varieties of abelian varieties 
  • Classification of Prime 3-Manifolds with Yamabe Invariant Greater than RP^3 
  • Classification of horizontal SL(2)s 
  • Classification of problematic subgroups of U(n) 
  • Cohen-Macaulay quotients of normal semioroup rings via irreducible resolutions 
  • Combinatorial knot contact homology and transverse knots 
  • Combinatorics of binomial primary decomposition 
  • Commentary 
  • Compactly supported A¹ -Euler characteristic and the Hochschild complex 
  • Complete noncompact g2-manifolds from asymptotically conical calabi-yau 3-folds 
  • Complex multiplication cycles and a conjecture of beilinson and bloch 
  • Complex multiplication cycles on elliptic modular threefolds 
  • Computable Legendrian invariants 
  • Computations of elliptic units for real quadratic fields 
  • Computing knot Floer homology in cyclic branched covers 
  • Conformal Wasserstein distances: Comparing surfaces in polynomial time 
  • Conformal and minimal immersions of compact surfaces into the 4-sphere 
  • Convergence of a Force-Based Hybrid Method in Three Dimensions 
  • Convergence of a Galerkin method for 2-D discontinuous Euler flows 
  • Convergence of a Galerkin method for 2-D discontinuous Euler flows 
  • Convergence of euler-stokes splitting of the navier-stokes equations 
  • Convergence of frozen Gaussian approximation for high-frequency wave propagation 
  • Convergence of vortex methods for weak solutions to the 2-D Euler equations with vortex sheets data 
  • Convergence to a single wave in the Fisher-KPP equation 
  • Convolution sums of some functions on divisors 
  • Correction to "discrete fractional radon transforms and quadratic forms," duke math. J. 161 2012, 69-106 
  • Counterexamples for High-Degree Generalizations of the Schrödinger Maximal Operator 
  • Counting rational points on smooth cyclic covers 
  • Covariant representations of infinite tensor product algebras 
  • Crabgrass, measles, and gypsy moths: An introduction to interacting particle systems 
  • Crabgrass, measles, and gypsy moths: An introduction to modern probability 
  • Cycles, L-functions and triple products of elliptic curves 
  • Decay estimates of discretized Green’s functions for Schrödinger type operators 
  • Decomposition of Topological Azumaya Algebras 
  • Decompositions of commutative monoid congruences and binomial ideals 
  • Deligne-Beilinson Cohomology of Affine Groups 
  • Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number 
  • Desuspensions of S ¹ Λ (P1/Q - {0, 1, ∞ }) 
  • Determinant form of the complex phase function of the steepest descent analysis of Riemann-Hilbert problems and its application to the focusing nonlinear schrödinger equation 
  • Developing assessment methodologies for quantitative literacy: A formative study 
  • Dewetting films: Bifurcations and concentrations 
  • Differentials in the Eilenberg-Moore spectral sequence 
  • Direct and inverse scattering on the line with arbitrary singularities 
  • Direct and inverse scattering transforms with arbitrary spectral singularities 
  • Directional Wavelet Bases Constructions with Dyadic Quincunx Subsampling 
  • Discontinuous progressing waves for semilinear systems 
  • Discrete entropy and monotonicity criteria for hyperbolic conservation laws 
  • Discrete fractional radon transforms and quadratic forms 
  • Diusion and mixing in fluid flow 
  • Double Circulant Codes over ℤ4 and even Unimodular Lattices 
  • Dynamical upper bounds on wavepacket spreading 
  • EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY AND LINEAR SUBSPACES OF COMPLETE INTERSECTIONS 
  • Effective Maxwell equations from time-dependent density functional theory 
  • Effective perturbation methods for one-dimensional Schrödinger operators 
  • Eigenfunction expansions for objects floating in an open sea 
  • Eisenstein series associated with Gamma_0(2) 
  • Electronic structure of smoothly deformed crystals: Cauchy-born rule for the nonlinear tight-binding model 
  • Elias M. Stein (1931–2018) 
  • Elliptic units for real quadratic fields 
  • Embedding Riemannian manifolds by the heat kernel of the connection Laplacian 
  • Embeddings of Riemannian manifolds with finite eigenvector fields of connection Laplacian 
  • Endpoint Sobolev and BV continuity for maximal operators 
  • Energy equality for the Navier–Stokes equations in weak-in-time Onsager spaces 
  • Enhancement of the traveling front speeds in reaction-diffusion equations with advection 
  • Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations 
  • Ergodicity and Lyapunov Functions for Langevin Dynamics with Singular Potentials 
  • Ergodicity for the Navier-Stokes equation with degenerate random forcing: finite-dimensional approximation 
  • Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing 
  • Erratum: The hexagonal parquet tiling, k-isohedral monotiles with arbitrarily large k (The Mathematical Intelligencer 29:2 (33-38)) 
  • Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions 
  • Eta invariants and Hermitian locally symmetric spaces 
  • Euler characteristics of moduli spaces of curves 
  • Exact solitary water waves with capillary ripples at infinity 
  • Existence and modulation of traveling waves in particle chains 
  • Existence and rigidity of the vectorial peierls-nabarro model for dislocations in high dimensions 
  • Exponential convergence for one dimensional contact processes 
  • Extending the t-design concept 
  • Extension of a theorem of Kiming and Olsson for the partition function 
  • Extension of domains with finite gauge 
  • Extension of period maps by polyhedral fans 
  • Extensions of Variations of Mixed Hodge Structure 
  • Face rings of simplicial complexes with singularities 
  • Factoring Wavelet Transforms into Lifting Steps 
  • Factorization of p-adic Rankin L-series 
  • Fano resonances in all-dielectric electromagnetic metasurfaces 
  • Fermat covers, fermat hypersurfaces and abelian varieties of fermat type 
  • Filtrations on the knot contact homology of transverse knots 
  • Fingering in stochastic growth models 
  • Finite time blow up in the hyperbolic Boussinesq system 
  • Finite time singularity for the modified SQG patch equation 
  • Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$ 
  • Finite-time singularity formation for an active scalar equation 
  • Fixed point theorems from a de Rham perspective 
  • Flatly foliated relativity 
  • Flexibility of Schubert classes 
  • Forced lattice vibrations: Part I 
  • Forced lattice vibrations: Part II 
  • Forcing nonperiodicity with a single tile 
  • Four positive formulae for type A quiver polynomials 
  • Framed knot contact homology 
  • Frames in the bargmann space of entire functions 
  • From the Original Framer to Present-Day Time-Freuency and Time-Scale Frames 
  • Fronts in Reactive Convection: Bounds, Stability, and Instability 
  • Frozen Gaussian approximation for high frequency wave propagation in periodic media 
  • Fruit flies and moduli: Interactions between biology and mathematics 
  • Fubini's theorem in codimension two 
  • Fubini-Griffiths-Harris rigidity and lie algebra cohomology 
  • Fubini-griffiths-harris rigidity of homogeneous varieties 
  • G -Corks and Heegaard Floer homology 
  • G2-Manifolds and associative submanifolds via semi-fano 3-folds 
  • Gabor Time-Frequency Lattices and the Wexler-Raz Identity 
  • Galois actions on fundamental groups of curves and the cycle 
  • Generalized splines on arbitrary graphs 
  • Generic and cogeneric monomial ideals 
  • Genus 3 mapping class groups are not Kähler 
  • Geodesic behavior for Finsler metrics of constant positive flag curvature on S^2 
  • Geodesics in Randers spaces of constant curvature 
  • Geodesics in randers spaces of constant curvature 
  • Geometric ergodicity of Langevin dynamics with Coulomb interactions 
  • Geometric generalizations of the square sieve, with an application to cyclic covers 
  • Geometric proofs of some results of Morita 
  • Geometric rationality of equal-rank Satake compactifications 
  • Geometry of minimal energy Yang-Mills connections 
  • Geometry of the Smallest 1-form Laplacian Eigenvalue on Hyperbolic Manifolds 
  • Global dimension of real-exponent polynomial rings 
  • Global regularity and fast small-scale formation for Euler patch equation in a smooth domain 
  • Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation 
  • Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions 
  • Global well-posedness for a slightly supercritical surface quasi-geostrophic equation 
  • Global well-posedness for the critical 2D dissipative quasi-geostrophic equation 
  • Gradient Kähler Ricci solitons 
  • Gradient flow approach to an exponential thin film equation: Global existence and latent singularity 
  • Growing surfactant waves in thin liquid films driven by gravity 
  • Growth rates for the linearized motion of fluid interfaces away from equilibrium 
  • Gröbner geometry of Schubert polynomials 
  • Gröbner geometry of vertex decompositions and of flagged tableaux 
  • HANDLEBODY STRUCTURES FOR COMPLEX-SURFACES 
  • HOLOMORPHIC-CURVES IN LORENTZIAN CR-MANIFOLDS 
  • Harmonic Functions and The Mass of 3-Dimensional Asymptotically Flat Riemannian Manifolds 
  • Harmonic analysis of the space BV 
  • Harmonic analysis on certain spherical varieties 
  • Heegaard Floer invariants in codimension one 
  • Heegaard floer homology and concordance bounds on the Thurston norm 
  • Higher Albanese Manifolds 
  • Higher Logarithms 
  • Higher products 
  • Higher-level canonical subgroups for p-divisible groups 
  • Hilbert modular forms and the Gross-Stark conjecture 
  • Histogram Modification via Differential Equations 
  • Hodge classes on self-products of a variety with an automorphism 
  • Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem 
  • Holomorphic curves in Lorentzian CR-manifolds 
  • Homological methods for hypergeometric families 
  • Homology and robustness of level and interlevel sets 
  • How to construct all fibered knots and links 
  • Hyperbolic exterior differential systems and their conservation laws, Part I 
  • Hyperbolic exterior differential systems and their conservation laws, part II 
  • ITERATED INTEGRALS AND HOMOTOPY PERIODS 
  • Imbedded singular continuous spectrum for Schrödinger operators 
  • Inchworm Monte Carlo Method for Open Quantum Systems 
  • Incidence function as generalized arithmetic functions I 
  • Incidence functions as generalized arithmetic functions, II 
  • Incidence functions as generalized arithmetic functions, iii 
  • Indefinite metric and scattering by a domain with a small hole 
  • Index theory for certain complete kähler manifolds 
  • Indivisible 
  • Indivisible 
  • Infinitely many new families of complete cohomogeneity one G2-manifolds: G2analogues of the Taub-NUT and Eguchi-Hanson spaces 
  • Infinitesimal presentations of the Torelli groups 
  • Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem 
  • Instantons on multi-Taub-NUT Spaces II: Bow Construction 
  • Institute for the Quantitative Study of Inclusion, Diversity, and Equity (QSIDE) 
  • Integral Eisenstein cocycles on GLn, II: Shintani's method 
  • Intersection cohomology of cs-spaces and Zeeman's filtration 
  • Intersection homology Poincaré spaces and the characteristic variety theorem 
  • Intersection numbers of Hecke cycles on Hilbert modular varieties 
  • Inverse scattering transform for systems with rational spectral dependence 
  • Inviscid Limit of Vorticity Distributions in the Yudovich Class 
  • Irreducible decomposition of binomial ideals 
  • Isadore M. Singer (1924–2021) In Memoriam Part 1: Scientific Works 
  • Isadore M. Singer (1924–2021) In Memoriam Part 2: Personal Recollections 
  • Iterated Integrals and Homotopy Periods 
  • Iterated Integrals and Mixed Hodge Structures on Homotopy Groups 
  • Iterated integrals, intersection theory and link groups 
  • Iteratively reweighted least squares minimization for sparse recovery 
  • Janossy densities for unitary ensembles at the spectral edge 
  • KNOT CONCORDANCE IN HOMOLOGY COBORDISMS 
  • Khovanov homology and cobordisms between split links 
  • Khovanov homology and knot Floer homology for pointed links 
  • Khovanov homology and ribbon concordances 
  • Khovanov homology detects the figure-eight knot 
  • Knot doubling operators and bordered Heegaard Floer homology 
  • Knot doubling operators and bordered Heegaard Floer homology 
  • L² -∂-cohomology of complex projective varieties 
  • L² -Sobolev space bijectivity of the scattering and inverse scattering transforms 
  • L² -Sobolev space bijectivity of the scattering and inverse scattering transforms 
  • L² -index theorems on locally symmetric spaces 
  • Large deviations of subgraph counts for sparse Erdős–Rényi graphs 
  • Least action principles for incompressible flows and geodesics between shapes 
  • Lefschetz formulae for arithmetic varieties 
  • Legendrian and transverse twist knots 
  • Legendrian contact homology in the boundary of a subcritical weinstein 4-Manifold 
  • Lie groups and twistor spaces 
  • Lifting harmonic morphisms ii: Tropical curves and metrized complexes 
  • Lines and osculating lines of hypersurfaces 
  • Local Regularity for the Modified SQG Patch Equation 
  • Local surgery and applications to the theory of quadratic forms 
  • Local time and a particle picture for Euclidean field theory 
  • Long time asymptotics of the korteweg-de vries equation 
  • Long-Time Asymptotics for Solutions of the NLS Equation with Initial Data in a Weighted Sobolev Space 
  • Long-Time Asymptotics of the Korteweg-Devries Equation 
  • Long-time asymptotics for the pure radiation solution of the sine-Gordon equation 
  • Long-time asymptotics of the nonlinear Schrödinger equation shock problem 
  • Low-Rank Approximation for Multiscale PDEs 
  • Lower bounds for the truncated Hilbert transform 
  • Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows 
  • L²-cohomology of Kähler varieties with isolated singularities 
  • L²-cohomology of arithmetic varieties 
  • L²-cohomology of locally symmetric spaces. I 
  • L₂-cohomology and intersection homology of certain algebraic varieties with isolated singularities 
  • METRISABILITY OF TWO-DIMENSIONAL PROJECTIVE STRUCTURES 
  • Machine learning the real discriminant locus 
  • Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations 
  • Malliavin calculus for infinite-dimensional systems with additive noise 
  • Malliavin calculus for the stochastic 2D Navier-Stokes equation 
  • Masatake Kuranishi (1924–2021) 
  • Massey higher products 
  • Massey products 〈y,x,x,…,x,x,y〉 in Galois cohomology via rational points 
  • Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices 
  • Mathematical biology is good for mathematics 
  • Maximal Thurston–Bennequin number of two-bridge links 
  • Maximal functions associated to filtrations 
  • Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface 
  • Maximum of the Characteristic Polynomial for a Random Permutation Matrix 
  • Metrics with exceptional holonomy 
  • Metrisability of two-dimensional projective structures 
  • Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems 
  • Minimal Surfaces of Constant Curvature in S n 
  • Minimal surfaces of constant curvature in S^n 
  • Mixed Hodge Structures on the Homotopy of Links 
  • Mixed Hodge structures on homotopy groups 
  • Mod 2 semi-characteristics and the converse to a theorem of Milnor 
  • Multiplier ideals of sums via cellular resolutions 
  • Multiplier ideals of sums via cellular resolutions 
  • Multiplier ideals of sums via cellular resolutions 
  • Mutual invadability implies coexistence in spatial models 
  • Mutual invadability implies coexistence in spatial models 
  • Near integrable systems on the line. A case study-pertubation theory of the defocusing nonlinear Schrödinger equation 
  • New G2-holonomy cones and exotic nearly Kahler structures on S⁶ and S³ x S³ 
  • New Ramanujan-Kolberg type partition identities 
  • New Results in Small Dispersion KdV by an Extension of the Steepest Descent Method for Riemann-Hilbert Problems 
  • New results in small dispersion kdV by an extension of the steepest descent method for Riemann-Hilbert problems 
  • Nil-manifolds as links of isolated singularities 
  • Non-Archimedean and tropical theta functions 
  • Nonabelian fourier transforms for spherical representations 
  • Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model 
  • Nonlinear behavior of model equations which are linearly ill-posed 
  • Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension 
  • Nonlinear superposition and absorption of delta waves in one space dimension 
  • Nonlocal maximum principles for active scalars 
  • Notes on the Universal Elliptic KZB Equation 
  • Notes on the universal elliptic KZB connection 
  • Numerical methods for oscillatory solutions to hyperbolic problems 
  • ON BOURGAIN’S COUNTEREXAMPLE for the SCHRÖDINGER MAXIMAL FUNCTION 
  • ON KNOTS WITH INFINITE SMOOTH CONCORDANCE ORDER 
  • ON THE ABSORPTION OF SINGULARITIES IN DISSIPATIVE NONLINEAR EQUATIONS 
  • Obstructions to Lagrangian concordance 
  • On Excess in the Milnor Basis 
  • On Invariant Curve Evolution and Image Analysis 
  • On Local Singularities in Ideal Potential Flows with Free Surface 
  • On Superorthogonality 
  • On Surfaces with Prescribed Shape Operator 
  • On Zeroes of Random Polynomials and an Application to Unwinding 
  • On a Generalization of Hilbert’s 21st Problem 
  • On a conjecture for $\ell$-torsion in class groups of number fields: from the perspective of moments 
  • On affine plane curve evolution 
  • On arc index and maximal Thurston-Bennequin number 
  • On certain complex projective manifolds with Hodge numbers H¹⁰ = 4 and h²⁰ = 5 
  • On certain exterior product maps of Chow groups 
  • On certain modular representations in the cohomology of algebraic curves 
  • On constant terms of Eisenstein series 
  • On curves with nonnegative torsion 
  • On discrete fractional integral operators and mean values of Weyl sums 
  • On discrete models of the Euler equation 
  • On fiber products of rational elliptic surfaces with section 
  • On fixed points of automorphisms of classical lie algebras 
  • On generating functions of hausdorff moment sequences 
  • On handlebody structures for hypersurfaces in ℂ³ and ℂP³ 
  • On self-adjointness in infinite tensor product spaces 
  • On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation 
  • On the Brumer-Stark conjecture 
  • On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations 
  • On the Gross-Stark Conjecture 
  • On the Riemannian Penrose inequality in dimensions less than eight 
  • On the affine heat equation for non-convex curves 
  • On the arakelov geometry of moduli spaces of curves 
  • On the capacity of surfaces in manifolds with nonnegative scalar curvature 
  • On the characteristic polynomial of the gross regulator matrix 
  • On the construction of some complete metrics with exceptional holonomy 
  • On the fundamental groups of normal varieties 
  • On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle 
  • On the geometry of almost complex 6-manifolds 
  • On the image of the l-adic Abel-Jacobi map for a variety over the algebraic closure of a finite field 
  • On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case 
  • On the strict majorant property in arbitrary dimensions 
  • On uniformly packed [n, n-fc,4] codes over gf(Q) and a class of caps in ?g(k-l, q) 
  • On ℓ-torsion in class groups of number fields 
  • Online and In-Person Interviewing for Tenure-Track Positions 
  • Optimal System Reliability for a Mixed Series and Parallel Structure 
  • Optimal Trapping for Brownian Motion: a Nonlinear Analogue of the Torsion Function 
  • Optimal approximation rate of ReLU networks in terms of width and depth 
  • Optimal quotients of Jacobians with toric reduction and component groups 
  • Orthogonal transformations for which topological equivalence implies linear equivalence 
  • Orthonormal bases of compactly supported wavelets 
  • P. D. E. 'S which imply the penrose conjecture 
  • P.D.E.'s Which Imply the Penrose Conjecture 
  • Parallel calibrations and minimal submanifolds 
  • Partial regularity of weak solutions to a PDE system with cubic nonlinearity 
  • Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units 
  • Periodic limit of inverse scattering 
  • Perturbation theory for infinite-dimensional integrable systems on the line. A case study 
  • Planar diagrams for local invariants of graphs in surfaces 
  • Planar graphs as minimal resolutions of trivariate monomial ideals 
  • Polarized relations on horizontal SL(2)'s 
  • Pole-based approximation of the Fermi-Dirac function 
  • Polynomial Carleson operators along monomial curves in the plane 
  • Positivity and Kleiman transversality in equivariant K-theory of homogeneous spaces 
  • Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations 
  • Preface 
  • Primitive Elements in Rings of Holomorphic Functions 
  • Primitive chains and H*(ΩX) 
  • Primitive chains and H_* (ΩX) 
  • Problems and Solutions 
  • Problems and solutions 
  • Problems and solutions 
  • Problems and solutions 
  • Problems and solutions 
  • Produkte Abelscher Varietäten und Moduln Über Ordnungen 
  • Projectively flat Finsler 2-spheres of constant curvature 
  • Proof of a Null Geometry Penrose Conjecture 
  • Proof of the riemannian penrose inequality using the positive mass theorem 
  • Propagation of Singularities for Semilinear Hyperbolic Equations in One Space Variable 
  • Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids 
  • Propagation of singularities for hyperbolic pseudo differential operators with non‐smooth coefficients 
  • Propagation of singularities for non-linear wave equations in one dimension 
  • Propagation of singularities in non‐strictly hyperbolic semilinear systems: Examples 
  • Pure hodge structure on the L₂ -cohomology of varieties with isolated singularities 
  • Purely imaginary scattering frequencies for exterior domains 
  • Quantitative photoacoustic tomography 
  • Quenching of combustion by shear flows 
  • Quenching of flames by fluid advection 
  • Quenching of reaction by cellular flows 
  • Rank one perturbations with infinitesimal coupling 
  • Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights: I 
  • Rational points of universal curves 
  • Rational symplectic field theory for Legendrian knots 
  • Real Grassmann polylogarithms and Chern classes 
  • Real-Time dynamics acquisition from irregular samples-With application to anesthesia evaluation 
  • Recent advances in the theory of holonomy 
  • Reconstructing Real-Valued Functions from Unsigned Coefficients with Respect to Wavelet and Other Frames 
  • Reduction for constrained variational problems and $\int{1\over 2}k\sp 2\,ds$ 
  • Refined long-time asymptotics for Fisher–KPP fronts 
  • Reflection of singularities of one-dimensional semilinear wave equations at boundaries 
  • Reflection theorems for cardinal functions 
  • Regularity of Refinable Function Vectors 
  • Regularity of invariant densities for 1D-systems with random switching 
  • Relative pro-ℓ completions of mapping class groups 
  • Relaxation enhancement by time-periodic flows 
  • Remarks on non-abelian cohomology of proalgebraic groups 
  • Remembering Steve Zucker 
  • Renormalization of the τ-functions for integrable systems: A model problem 
  • Reply to Davey, Henriksen, Marković and Pratt [4] 
  • Representations of the symmetric group in deformations of the free lie algebra 
  • Representations, sheaves and Legendrian (2,m) torus links 
  • Reversing a Philosophy: From Counting to Square Functions and Decoupling 
  • Rigid Schubert varieties in compact Hermitian symmetric spaces 
  • Rigidity of integral curves of rank 2 distributions 
  • S.-S. Chern's study of almost-complex structures on the six-sphere 
  • SO(n)-invariant special Lagrangian submanifolds of C^{n+1} with fixed loci 
  • Satellites of Legendrian knots and representations of the Chekanov-Eliashberg Algebra 
  • Scaling limits of a model for selection at two scales 
  • Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials 
  • Scattering frequencies of resonators 
  • Schubert varieties as variations of Hodge structure 
  • Secondary terms in asymptotics for the number of zeros of quadratic forms over number fields 
  • Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data 
  • Semiclassical limit of the scattering transform for the focusing nonlinear Schrödinger equation 
  • Septic analogues of the Rogers-Ramanujan functions 
  • Sharp nonuniqueness for the Navier–Stokes equations 
  • Shintani zeta functions and gross-stark units for totally real fields 
  • Simultaneous integer values of pairs of quadratic forms 
  • Singular loci of cominuscule Schubert varieties 
  • Singularities Produced by the Nonlinear Interaction of Three Progressing Waves;Examples 
  • Skeletons and tropicalizations 
  • Slicing mixed Bing-Whitehead doubles 
  • Slicing mixed Bing-Whitehead doubles 
  • Slow energy dissipation in anharmonic oscillator chains 
  • Small Scale Creation in Active Scalars 
  • Small Scale Creation in Active Scalars 
  • Small scale creation for solutions of the incompressible two-dimensional Euler equation 
  • Small-scale creation for solutions of the sqg equation 
  • Smooth invariant densities for random switching on the torus 
  • Solutions, spectrum, and dynamics for schrödinger operators on infinite domains 
  • Some examples in one-dimensional "geometric" scattering on manifolds 
  • Some examples of torsion in the Griffiths group 
  • Some homology lens spaces which bound rational homology balls 
  • Some hybrid symplectic group phenomena 
  • Some remarks on Finsler manifolds with constant flag curvature 
  • Some remarks on the geometry of austere manifolds 
  • Special Lagrangian cones 
  • Special Lagrangian cones with higher genus links 
  • Specialization of the torsion subgroup of the Chow group 
  • Spectral Properties of an Acoustic Boundary Condition 
  • Splicing knot complements and bordered Floer homology 
  • Splitting varieties for triple Massey products 
  • Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate 
  • Stability of generalized transition fronts 
  • Stability of singular spectral types under decaying pertubations 
  • Stability of the absolutely continuous spectrum of the Schrödinger equation under slowly decaying perturbations and A.E. convergence of integral operators 
  • Stability of the homology of the moduli spaces of Riemann surfaces with spin structure 
  • Stanley's simplicial poset conjecture, after M. Masuda 
  • Stark-Heegner points on modular Jacobians 
  • Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations 
  • Stirring Speeds Up Chemical Reaction 
  • Strong Heegaard diagrams and strong L–spaces 
  • Strong L-spaces and left-orderability 
  • Strong asymptotics of orthogonal polynomials with respect to exponential weights 
  • Strong regularizing effect of integrable systems 
  • Subcritical bifurcation in spatially extended systems 
  • Submanifolds and special structures on the octonians 
  • Submanifolds in hyper-Kähler geometry 
  • Subword complexes in Coxeter groups 
  • Successor-invariant first-order logic on finite structures 
  • Synchronization of Kuramoto oscillators in dense networks 
  • Systems of orthogonal polynomials arising from the modular j-function 
  • Systems of parameters and holonomicity of A-hypergeometric systems 
  • Séminaire Bourbaki Volume 2016/2017 Exposés 1120-1135 
  • THE MONOMIAL-DIVISOR MIRROR MAP 
  • Tableau complexes 
  • Tensor products of closed operators on Banach spaces 
  • The 3-part of class numbers of quadratic fields 
  • The A(p) cohomology of some k stage Postnikov systems 
  • The Alexander duality functors and local duality with monomial support 
  • The Chow group modulo $l$ for the triple product of a general elliptic curve 
  • The Elastic Continuum Limit of the Tight Binding Model* 
  • The Euler characteristic of the moduli space of curves 
  • The Galois action and cohomology of a relative homology group of Fermat curves 
  • The Gauss equations and rigidity of isometric embeddings 
  • The Hodge De Rham theory of relative Malcev completion 
  • The Hyodo-Kato theorem for rational homotopy types 
  • The Kernel of the loop suspension map 
  • The Kohn-Sham equation for deformed crystals 
  • The L2-∂-cohomology of an algebraic surface 
  • The L₂ -∂-cohomology of an algebraic surface 
  • The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior) 
  • The Life and Work of Kuo Tsai Chen 
  • The Sperner Capacity of Linear and Nonlinear Codes for the Cyclic Triangle 
  • The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth] 
  • The Zero Dispersion Limit of the Korteweg-Devries Equation with Periodic Initial Data 
  • The abelianization of the Johnson kernel 
  • The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials 
  • The adjoint variety of SLm + 1 C is rigid to order three 
  • The cardinality of the augmentation category of a Legendrian link 
  • The class of Eisenbud-Khimshiashvili-Levine is the local A ¹ -Brouwer degree 
  • The collisionless shock region for the long‐time behavior of solutions of the KdV equation 
  • The continuous Procrustes distance between two surfaces 
  • The continuum limit of theta functions 
  • The correspondence between augmentations and rulings for legendrian knots 
  • The de Rham homotopy theory of complex algebraic varieties. II 
  • The de rham homotopy theory of complex algebraic varieties I 
  • The exact sequence of a localization for witt groups II: Numerical invariants of odd-dimensional surgery obstructions 
  • The existence of cnoidal water waves with surface tension 
  • The existence of higher logarithms 
  • The existence of solitary water waves 
  • The explosion problem in a flow 
  • The fundamental group of reductive Borel–Serre and Satake compactifications 
  • The generality of closed G_2 solitons 
  • The generation of modulated wavetrains in the solution of the Korteweg—de vries equation 
  • The geometric complexity of special Lagrangian T² -cones 
  • The geometry of nodal sets and outlier detection 
  • The geometry of two-weight codes 
  • The hexagonal parquet tiling k-isohedral monotiles with arbitrarily large k 
  • The incompressible Euler equations under octahedral symmetry: Singularity formation in a fundamental domain 
  • The infinite period limit of the inverse formalism for periodic potentials 
  • The initial value problem for the navier‐stokes equations with a free surface 
  • The isoperimetric problem in riemannian optical geometry 
  • The korteweg‐de vries equation with small dispersion: Higher order lax‐levermore theory 
  • The logarithmic delay of KPP fronts in a periodic medium 
  • The mathematics of moderns 
  • The mathematics of richard schoen 
  • The modified diagonal cycle on the triple product of a pointed curve 
  • The monomial-divisor mirror map 
  • The origins of spectra, an organization for LGBT mathematicians 
  • The p-adic L-functions of evil Eisenstein series 
  • The profile of chiral skyrmions of small radius 
  • The rational cohomology ring of the moduli space of abelian 3-folds 
  • The rook on the half-chessboard, or how not to diagonalize a matrix 
  • The scattering of classical waves from inhomogeneous media 
  • The second homology group of the mapping class group of an orientable surface 
  • The shape memory effect and superelasticity in aging single crystals of titanium-nickel 
  • The skeleton of the jacobian, the jacobian of the skeleton, and lifting meromorphic functions from tropical to algebraic curves 
  • The third homology group of the moduli space of curves 
  • The toda rarefaction problem 
  • The toda shock problem 
  • The ubiquitous ellipse 
  • The unique minimal dual representation of a convex function 
  • The virtual cohomological dimension of the mapping class group of an orientable surface 
  • The zero dispersion limit of the korteweg-de vries equation with periodic initial data 
  • The zero dispersion limit of the korteweg‐de vries equation for initial potentials with non‐trivial reflection coefficient 
  • Tilings and finite energy retractions of locally symmetric spaces 
  • Toric degeneration of Schubert varieties and Gelfand-Tsetlin polytopes 
  • Torsion in the cohomology of desingularized fiber products of elliptic surfaces 
  • Torus invariance for the Clifford algebra, II 
  • Torus invariance for the clifford algebra i 
  • Total p-differentials on schemes over Z/p² 
  • Transfer matrices and transport for Schrödinger operators 
  • Transversals of additive Latin squares 
  • Traveling domain walls in chiral ferromagnets 
  • Traveling domain walls in chiral ferromagnets 
  • Traveling waves in a one-dimensional heterogeneous medium 
  • Tropical analytic geometry, Newton polygons, and tropical intersections 
  • Tropical skeletons 
  • Truncations of Mixed Hodge Complexes 
  • Turaev torsion invariants of 3-orbifolds 
  • Twisted Mazur Pattern Satellite Knots & Bordered Floer Theory 
  • Twisted relative trace formulae with a view towards unitary groups 
  • Twisting Cochains and Duality Between Minimal Algebras and Minimal Lie Algebras 
  • Two-weight ternary codes and the equation y² = 4 × 3^a + 13 
  • ULTRASINGULARITIES IN NONLINEAR-WAVES 
  • Unified approach to KdV modulations 
  • Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory 
  • Uniform bounds for the number of rational points on curves of small mordell-weil rank 
  • Unipotent variations of mixed Hodge structure 
  • Uniqueness results for matrix-valued Schrödinger, Jacobi, and Dirac-type operators 
  • Universal Mixed Elliptic Motives 
  • Universality of Poisson Limits for Moduli of Roots of Kac Polynomials 
  • Using statistics to determine causal relationships 
  • Variation on a theme of caffarelli and vasseur 
  • Variations of Hodge structure and orbits in flag varieties 
  • Varieties dominated by product varieties 
  • Vector Diffusion Maps and the Connection Laplacian. 
  • Voter model perturbations and reaction diffusion equations 
  • WKB asymptotic behavior of almost all generalized eigenfunctions for one-dimensional Schrödinger operators with slowly decaying potentials 
  • Warped tori with almost non-negative scalar curvature 
  • Water-Waves Generated by a Pressure Disturbance on a Steady Stream 
  • Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis 
  • Weighted completion of galois groups and galois actions on the fundamental group of ℙ¹ -{0, 1, ∞} 
  • Well-posedness and derivative blow-up for a dispersionless regularized shallow water system 
  • Well-posedness for Hall-magnetohydrodynamics 
  • Well-posedness for hall-magnetohydrodynamics 
  • What is... a toric variety? 
  • What is… an anabelian scheme? 
  • When are topologically equivalent orthogonal transformations linearly equivalent? 
  • Why is mathematical biology so hard? 
  • Wiener path intersections and local time 
  • Wu numbers of singular spaces 
  • Zermelo navigation on riemannian manifolds 
  • complex varieties for which the chow group mod n is not finite 
  • p-Euler equations and p-Navier–Stokes equations 
  • ℒ-invariants and Shimura curves 
  • ℒ-modules and the conjecture of Rapoport and Goresky-Macpherson