| [ |
| { |
| "title": "Syzygies and mirror symmetry", |
| "url": "http://aimpl.org/syzygyms/" |
| }, |
| { |
| "title": "Equivariant techniques in stable homotopy theory", |
| "url": "http://aimpl.org/equivstable/" |
| }, |
| { |
| "title": "Rationality problems in algebraic geometry", |
| "url": "http://aimpl.org/rationalityag/" |
| }, |
| { |
| "title": "Categorified Hecke algebras, link homology, and Hilbert schemes", |
| "url": "http://aimpl.org/catheckehilbert/" |
| }, |
| { |
| "title": "Rational subvarieties in positive characteristic", |
| "url": "http://aimpl.org/ratsubvarpos/" |
| }, |
| { |
| "title": "Positivity of cycles", |
| "url": "http://aimpl.org/poscycles/" |
| }, |
| { |
| "title": "Equivariant derived algebraic geometry", |
| "url": "http://aimpl.org/equideralggeom" |
| }, |
| { |
| "title": "Algebraic vision", |
| "url": "http://aimpl.org/algvision" |
| }, |
| { |
| "title": "The minimal model program in characteristic $p$", |
| "url": "http://aimpl.org/minimalmodcharp" |
| }, |
| { |
| "title": "Singular learning theory", |
| "url": "http://aimpl.org/singularlearning/" |
| }, |
| { |
| "title": "Relating test ideals and multiplier ideals", |
| "url": "http://aimpl.org/testandmultiplierideals/" |
| }, |
| { |
| "title": "Numerical invariants of singularities and higher-dimensional algebraic varieties", |
| "url": "https://aimath.org/WWN/singularvariety/problems_final.pdf" |
| }, |
| { |
| "title": "Compact moduli spaces and birational geometry", |
| "url": "https://aimath.org/WWN/birational/birational.pdf" |
| }, |
| { |
| "title": "Degree d points on algebraic surfaces", |
| "url": "http://aimpl.org/degreedsurface/" |
| }, |
| { |
| "title": "The Tate conjecture", |
| "url": "https://aimath.org/WWN/tateconjecture/tateconjecture.pdf" |
| }, |
| { |
| "title": "Rational and integral points on higher dimensional varieties", |
| "url": "https://aimath.org/WWN/qptsurface2/qptsurface2.pdf" |
| }, |
| { |
| "title": "Riemann-Hilbert problems, Toeplitz matrices, and applications", |
| "url": "http://aimpl.org/riemhilberttoeplitz/" |
| }, |
| { |
| "title": "Shape optimization with surface interactions", |
| "url": "http://aimpl.org/shapesurface/" |
| }, |
| { |
| "title": "Problems on holomorphic function spaces and complex dynamics", |
| "url": "http://aimpl.org/scvproblems/" |
| }, |
| { |
| "title": "Mapping theory in metric spaces", |
| "url": "http://aimpl.org/mappingmetric" |
| }, |
| { |
| "title": "Stability, hyperbolicity, and zero localization of functions", |
| "url": "http://aimpl.org/hyperbolicpoly" |
| }, |
| { |
| "title": "Low eigenvalues of Laplace and Schrodinger operators", |
| "url": "https://aimath.org/WWN/loweigenvalues/loweigenvalues.pdf" |
| }, |
| { |
| "title": "Random analytic functions", |
| "url": "https://aimath.org/WWN/randomzeros/arcc1.pdf" |
| }, |
| { |
| "title": "Delta symbols and the subconvexity problem", |
| "url": "http://aimpl.org/deltasubconvex2/" |
| }, |
| { |
| "title": "Sarnak's conjecture", |
| "url": "http://aimpl.org/sarnakconjecture/" |
| }, |
| { |
| "title": "Moments of zeta and correlations of divisor sums", |
| "url": "http://aimpl.org/zetamoments" |
| }, |
| { |
| "title": "Gromov-Witten invariants and number theory", |
| "url": "http://aimpl.org/gromwitnumthry" |
| }, |
| { |
| "title": "Mock modular forms in combinatorics and arithmetic geometry", |
| "url": "https://aimath.org/WWN/mockmodular/mockmodular.pdf" |
| }, |
| { |
| "title": "Subconvexity bounds for L-functions", |
| "url": "https://aimath.org/WWN/subconvexity/subconvexity.pdf" |
| }, |
| { |
| "title": "Gaps between primes", |
| "url": "https://aimath.org/WWN/primegaps/WorkshopProblems.pdf" |
| }, |
| { |
| "title": "Arithmetic intersection theory on Shimura varieties", |
| "url": "http://aimpl.org/intersectshimura/" |
| }, |
| { |
| "title": "Brauer groups and obstruction problems: moduli spaces and arithmetic", |
| "url": "http://aimpl.org/brauermoduli/" |
| }, |
| { |
| "title": "Cohomological methods in abelian varieties", |
| "url": "http://aimpl.org/cohomabelian/" |
| }, |
| { |
| "title": "Deformation theory, patching, quadratic forms, and the Brauer group", |
| "url": "http://aimpl.org/deformationbrauer/" |
| }, |
| { |
| "title": "Components of Hilbert schemes", |
| "url": "https://aimath.org/WWN/hilbertschemes/hilbertschemes.pdf" |
| }, |
| { |
| "title": "Topology and geometry of the moduli space of curves", |
| "url": "https://aimath.org/WWN/modspacecurves/modspacecurves.pdf" |
| }, |
| { |
| "title": "Modeling the eye as a window on the body", |
| "url": "http://aimpl.org/eyewindow/" |
| }, |
| { |
| "title": "Systems approaches to drug discovery and development in oncology", |
| "url": "http://aimpl.org/systemsoncology/" |
| }, |
| { |
| "title": "Inference and prediction in neocortical circuits", |
| "url": "https://aimath.org/WWN/brain/brain.pdf" |
| }, |
| { |
| "title": "Geometric models of biological phenomena", |
| "url": "https://aimath.org/WWN/geombio/geombio.pdf" |
| }, |
| { |
| "title": "High-dimensional phenomena in discrete analysis", |
| "url": "http://aimpl.org/highdimdiscrete" |
| }, |
| { |
| "title": "Additive combinatorics and its applications", |
| "url": "http://aimpl.org/addcombapp" |
| }, |
| { |
| "title": "Hereditary discrepancy and factorization norms", |
| "url": "http://aimpl.org/hereddiscrep" |
| }, |
| { |
| "title": "Rational Catalan combinatorics", |
| "url": "http://aimpl.org/rationalcatalan/" |
| }, |
| { |
| "title": "Geometry of large networks", |
| "url": "http://aimpl.org/largenetworks/" |
| }, |
| { |
| "title": "Hypergraph Turan problem", |
| "url": "http://aimpl.org/hypergraphturan/" |
| }, |
| { |
| "title": "The Caccetta-Haggkvist conjecture", |
| "url": "https://aimath.org/WWN/caccetta/caccetta.pdf" |
| }, |
| { |
| "title": "Recent trends in additive combinatorics", |
| "url": "https://aimath.org/WWN/additivecomb/additivecomb.pdf" |
| }, |
| { |
| "title": "The Perfect Graph Conjecture", |
| "url": "https://aimath.org/WWN/perfectgraph/perfectgraph.pdf" |
| }, |
| { |
| "title": "The computational complexity of polynomial factorization", |
| "url": "https://aimath.org/WWN/polyfactor/polyfactor.pdf" |
| }, |
| { |
| "title": "Numerical methods for optimal control in high dimensions", |
| "url": "https://aimath.org/WWN/optimalcontrol/optimalcontrol.pdf" |
| }, |
| { |
| "title": "Time-reversal communications in richly scattering environments", |
| "url": "https://aimath.org/WWN/timerev/timerev.pdf" |
| }, |
| { |
| "title": "Computational algebraic statistics", |
| "url": "https://aimath.org/WWN/compalgstat/compalgstat.pdf" |
| }, |
| { |
| "title": "Numerical probabilistic methods for high-dimensional problems in finance", |
| "url": "https://aimath.org/WWN/highdimfinance/highdimfinance.pdf" |
| }, |
| { |
| "title": "Future directions in algorithmic number theory", |
| "url": "https://aimath.org/WWN/primesinp/primesinp.pdf" |
| }, |
| { |
| "title": "Mahler's conjecture and duality in convex geometry", |
| "url": "https://aimath.org/WWN/mahlerduality/mahlerduality.pdf" |
| }, |
| { |
| "title": "Algorithmic convex geometry", |
| "url": "https://aimath.org/WWN/convexgeometry/convexgeometry.pdf" |
| }, |
| { |
| "title": "Fourier analytic methods in convex geometry", |
| "url": "https://aimath.org/WWN/fourierconvex/fourierconvex.pdf" |
| }, |
| { |
| "title": "Post-quantum group-based cryptography", |
| "url": "http://aimpl.org/postquantgroup/" |
| }, |
| { |
| "title": "Quantum algorithms for analysis of public-key crypto", |
| "url": "http://aimpl.org/quantumalg/" |
| }, |
| { |
| "title": "Groups of dynamical origin", |
| "url": "http://aimpl.org/groupdynamorigin" |
| }, |
| { |
| "title": "The Galois theory of orbits in arithmetic dynamics", |
| "url": "http://aimpl.org/galarithdyn" |
| }, |
| { |
| "title": "Postcritically finite maps in complex and arithmetic dynamics", |
| "url": "http://aimpl.org/finitedynamics" |
| }, |
| { |
| "title": "Low dimensional structures in dynamical systems with variable time lags", |
| "url": "https://aimath.org/WWN/variabletimelag/variabletimelag.pdf" |
| }, |
| { |
| "title": "Symmetry and convexity in geometric inequalities", |
| "url": "http://aimpl.org/symconvgeomineq/" |
| }, |
| { |
| "title": "Set theory and C-algebras", |
| "url": "http://aimpl.org/settheorycstar" |
| }, |
| { |
| "title": "Rigidity properties of free-by-cyclic groups", |
| "url": "http://aimpl.org/freebycyclic/" |
| }, |
| { |
| "title": "Geometry and topology of Artin groups", |
| "url": "http://aimpl.org/geomartingp/" |
| }, |
| { |
| "title": "Amenability of discrete groups", |
| "url": "http://aimpl.org/amenablediscrete/" |
| }, |
| { |
| "title": "$L^2$ invariants and their relatives for finitely generated groups", |
| "url": "http://aimpl.org/l2invariantsgroups/" |
| }, |
| { |
| "title": "The geometry of the outer automorphism group of a free group", |
| "url": "https://aimath.org/WWN/outerauto/outerauto.pdf" |
| }, |
| { |
| "title": "The property of rapid decay", |
| "url": "https://aimath.org/WWN/rapiddecay/rapiddecay.pdf" |
| }, |
| { |
| "title": "Symmetry-breaking of optimal shapes", |
| "url": "http://aimpl.org/symmetrybreaking/" |
| }, |
| { |
| "title": "Cluster algebras and braid varieties", |
| "url": "http://aimpl.org/clusterbraid/" |
| }, |
| { |
| "title": "Equilibrium states for dynamical systems arising from geometry", |
| "url": "http://aimpl.org/equibdynsysgeom/" |
| }, |
| { |
| "title": "Discrete geometry and automorphic forms", |
| "url": "http://aimpl.org/discreteaf/" |
| }, |
| { |
| "title": "Soft packings, nested clusters, and condensed matter", |
| "url": "http://aimpl.org/softpack/" |
| }, |
| { |
| "title": "Spectral data for Higgs bundles", |
| "url": "http://aimpl.org/spectralhiggs" |
| }, |
| { |
| "title": "Geometric flows and Riemannian geometry", |
| "url": "http://aimpl.org/flowriemannian" |
| }, |
| { |
| "title": "Calibrations", |
| "url": "https://aimath.org/WWN/calibrations/calibrations.pdf" |
| }, |
| { |
| "title": "Sphere packings, lattices, and infinite dimensional algebra", |
| "url": "https://aimath.org/WWN/spherepacking/spherepacking.pdf" |
| }, |
| { |
| "title": "Moment maps and surjectivity in various geometries", |
| "url": "https://aimath.org/WWN/momentmaps/momentmaps.pdf" |
| }, |
| { |
| "title": "Amoebas and tropical geometry", |
| "url": "https://aimath.org/WWN/amoebas/amoebas.pdf" |
| }, |
| { |
| "title": "Conformal structure in geometry, analysis, and physics", |
| "url": "https://aimath.org/WWN/confstruct/confstruct.pdf" |
| }, |
| { |
| "title": "Holomorphic curves in contact geometry", |
| "url": "https://aimath.org/WWN/contactgeom2/contactgeom2.pdf" |
| }, |
| { |
| "title": "Open-source cyberinfrastructure supporting mathematics research", |
| "url": "http://aimpl.org/cyberinfrastructure/" |
| }, |
| { |
| "title": "Macaulay2: expanded functionality and improved efficiency", |
| "url": "http://aimpl.org/macaulay2efie/" |
| }, |
| { |
| "title": "Gems of combinatorics", |
| "url": "http://aimpl.org/gemscombin/7/" |
| }, |
| { |
| "title": "Spectral graph and hypergraph theory: connections and applications", |
| "url": "http://aimpl.org/spectralhypergraph/" |
| }, |
| { |
| "title": "Theory and applications of total positivity", |
| "url": "http://aimpl.org/totalpos/" |
| }, |
| { |
| "title": "Spectra of families of matrices described by graphs, digraphs, and sign patterns", |
| "url": "https://aimath.org/WWN/matrixspectrum/matrixspectrum.pdf" |
| }, |
| { |
| "title": "From ℵ2 to infinity", |
| "url": "http://aimpl.org/alephtwo/" |
| }, |
| { |
| "title": "Definability and decidability problems in number theory", |
| "url": "http://aimpl.org/definedecide/" |
| }, |
| { |
| "title": "High and low forcing", |
| "url": "http://aimpl.org/highlowforcing" |
| }, |
| { |
| "title": "Model theory of metric structures", |
| "url": "https://aimath.org/WWN/continuouslogic/continuouslogic.pdf" |
| }, |
| { |
| "title": "Extensions of Hilbert's tenth problem", |
| "url": "https://aimath.org/WWN/hilberts10th/hilberts10th.pdf" |
| }, |
| { |
| "title": "Recent advances in core model theory", |
| "url": "https://aimath.org/WWN/coremodel/coremodel.pdf" |
| }, |
| { |
| "title": "Theory and algorithms of linear matrix inequalities", |
| "url": "https://aimath.org/WWN/matrixineq/matrixineq.pdf" |
| }, |
| { |
| "title": "Small scale dynamics in incompressible fluid flows", |
| "url": "http://aimpl.org/smallscalefluid/" |
| }, |
| { |
| "title": "Computer assisted proofs for stability analysis of nonlinear waves", |
| "url": "http://aimpl.org/compproofstability/" |
| }, |
| { |
| "title": "Nonlocal differential equations in collective behavior", |
| "url": "http://aimpl.org/nonlocalde" |
| }, |
| { |
| "title": "Nonlinear PDEs in real and complex geometry", |
| "url": "http://aimpl.org/nonlinpdegeom" |
| }, |
| { |
| "title": "Stability criteria for multi-dimensional waves and patterns", |
| "url": "https://aimath.org/WWN/multidimwaves/multidimwaves.pdf" |
| }, |
| { |
| "title": "Stiff sources and numerical methods for conservation laws", |
| "url": "https://aimath.org/WWN/balancelaws/balancelaws.pdf" |
| }, |
| { |
| "title": "New connections between dynamical systems and PDE's", |
| "url": "https://aimath.org/WWN/dynpde/dynpde.pdf" |
| }, |
| { |
| "title": "Non-Hermitian quantum mechanics and symplectic geometry", |
| "url": "http://aimpl.org/nhquantumsymp/" |
| }, |
| { |
| "title": "Integrable systems in Gromov-Witten and symplectic field theory", |
| "url": "http://aimpl.org/gromwitnumthry/" |
| }, |
| { |
| "title": "Phase transitions", |
| "url": "https://aimath.org/WWN/phasetransition/phasetransition.pdf" |
| }, |
| { |
| "title": "Gravitational lensing in the Kerr spacetime geometry", |
| "url": "https://aimath.org/WWN/lensing/lensing.pdf" |
| }, |
| { |
| "title": "$L^2$ harmonic forms in geometry and string theory", |
| "url": "https://aimath.org/WWN/l2harmonic/l2harmonic.pdf" |
| }, |
| { |
| "title": "Variational Methods in Celestial Mechanics", |
| "url": "https://aimath.org/WWN/varcelest/varcelest.pdf" |
| }, |
| { |
| "title": "Boltzmann Machines", |
| "url": "http://aimpl.org/boltzmann/" |
| }, |
| { |
| "title": "Stein's method and applications in high-dimensional statistics", |
| "url": "http://aimpl.org/steinhd" |
| }, |
| { |
| "title": "Markov chain mixing times", |
| "url": "http://aimpl.org/markovmixing" |
| }, |
| { |
| "title": "Vector equilibrium problems and their applications to random matrix models", |
| "url": "http://aimpl.org/vectorequilib/" |
| }, |
| { |
| "title": "The Kardar-Parisi-Zhang equation and universality class", |
| "url": "http://aimpl.org/kpzuniversality/" |
| }, |
| { |
| "title": "Free analysis", |
| "url": "https://aimath.org/WWN/freeanalysis/freeanalysis.pdf" |
| }, |
| { |
| "title": "Braid groups, clusters and free probability", |
| "url": "https://aimath.org/WWN/braidgroups/braidgroups.pdf" |
| }, |
| { |
| "title": "Analytic, arithmetic, and geometric aspects of automorphic forms", |
| "url": "http://aimpl.org/aagaautomorphic" |
| }, |
| { |
| "title": "Representation stability", |
| "url": "http://aimpl.org/repnstability" |
| }, |
| { |
| "title": "Sheaves and modular representations of reductive groups", |
| "url": "http://aimpl.org/sheavemodular/" |
| }, |
| { |
| "title": "Automorphic forms and harmonic analysis on covering groups", |
| "url": "http://aimpl.org/autoformcovergp" |
| }, |
| { |
| "title": "Supercharacters and combinatorial Hopf algebras", |
| "url": "https://aimath.org/WWN/supercharacters/supercharacters.pdf" |
| }, |
| { |
| "title": "$p$-adic representations, modularity, and beyond", |
| "url": "https://aimath.org/WWN/padicmodularity/padicmodularity.pdf" |
| }, |
| { |
| "title": "The Cauchy-Riemann equations in several variables", |
| "url": "http://aimpl.org/crscv" |
| }, |
| { |
| "title": "Emerging applications of complexity for CR mappings", |
| "url": "https://aimath.org/WWN/crmappings/crmappings.pdf" |
| }, |
| { |
| "title": "Complexity of mappings in CR geometry", |
| "url": "https://aimath.org/WWN/complexitycrmap/complexitycrmap.pdf" |
| }, |
| { |
| "title": "Generalized Kostka polynomials", |
| "url": "https://aimath.org/WWN/kostka/prob2.pdf" |
| }, |
| { |
| "title": "Higher-dimensional contact topology", |
| "url": "http://aimpl.org/highdimcontacttop/" |
| }, |
| { |
| "title": "Quantum invariants and low-dimensional topology", |
| "url": "http://aimpl.org/quantumlowdimtop/" |
| }, |
| { |
| "title": "Algebra, geometry, and combinatorics of link homology", |
| "url": "http://aimpl.org/agclinkhom/" |
| }, |
| { |
| "title": "Discrete and combinatorial homotopy theory", |
| "url": "http://aimpl.org/combhomotop/" |
| }, |
| { |
| "title": "Smooth concordance classes of topologically slice knots", |
| "url": "http://aimpl.org/concordsliceknot/" |
| }, |
| { |
| "title": "Surfaces of infinite type", |
| "url": "http://aimpl.org/genusinfinity/" |
| }, |
| { |
| "title": "Contact topology in higher dimensions", |
| "url": "http://aimath.org/WWN/contacttop/notes_contactworkshop2012.pdf" |
| }, |
| { |
| "title": "Manifolds with nonnegative sectional curvature", |
| "url": "https://aimath.org/WWN/nnsectcurvature/nnsectcurvature.pdf" |
| }, |
| { |
| "title": "Representations of surface groups", |
| "url": "https://aimath.org/WWN/surfacegroups/surfacegroups.pdf" |
| }, |
| { |
| "title": "Moduli spaces of knots", |
| "url": "https://aimath.org/WWN/spaceofknots/" |
| }, |
| { |
| "title": "Classifying fusion categories", |
| "url": "http://aimpl.org/fusioncat/" |
| }, |
| { |
| "title": "Emerging applications of measure rigidity", |
| "url": "https://aimath.org/WWN/measrigid/measrigid.pdf" |
| } |
| ] |
|
|
