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2-d_tqft 2-spinors 3-body_problem 3d_gravity 3-manifolds 4-manifolds abdus_salam abel abstract_algebra accelerator_physics advertisement africa ai album algebra algebraic_curves algebraic_geometry algebraic_groups algebraic_invariants algebraic_k-theory algebraic_number_theory algebraic_spaces algebraic_stacks algebraic_topology algebraic_varieties algebras analysis analytic_varities andrei_sakharov andre_weil anecdotical anecdotography anomalies anthropic_arguments anthropic_cosmological_principle apology aqft arithmetic arithmetic_duality_theorems arithmetic_geometry art arts astronomy astroparticle_physics astrophysics asymmetry atiyah atiyah-singer_index_theorem atle_selberg atomic_bomb attractors australia autobiographical automorphic_forms axiomatic_qft axion bach background_independence banach_algebras banach_operators banach-tarski_paradox bardeen barrow bavaria bcs_theory beauty bergman_spaces bh biographical biography biology biotechnology bohm bohr boltzmann book_review bose-einstein_condensation bourbaki brain brane_cosmology branes brane-world brans-dicke_theory brst bryson bullshit calabi-yau_manifolds calculus calibrated_geometry cambridge canonical_gravity canonical_quantum_general_relativity catastrophe catastrophe_theory category_theory causality centennial certainty cft chaitin chance chandrasekhar chaos chern chern-simons_theory chern-simons-witten chern-weil_theory class_fields classical_electrodynamics classical_ft classical_integrable_systems classical_mechanics clifford_algebra clifford_algebras clifford_bundle cmb coarse_geometry cobordism cognitive_science coherence cohomology collider_physics combinatorial_group_theory combinatorics commemorative_volume commutative_algebra commutative_ring_theory compact_groups compact_lie_groups compact_manifolds compact_riemann_surfaces complex_algebraic_curves complex_analysis complex_angular_momenta complex_geometry complex_hyperbolic_geometry complexity complex_manifolds complex_vector_bundles computability computation computational_complexity computational_psychology computer computers condensed_matter conflicts conformal_ft connes consciousness consisent_qm constants constructive_qft convexity copenhagen corporate correspondence cosmic_fractals cosmic_natural_selection cosmic_strings cosmological_bounces cosmological_constant cosmological_perturbations cosmology coxeter_groups cp_violation creativity credit_crisis critical_phenomena critique cstar-algebra cstar_algebras cultura cultural_aspects culture current_algebra curvature curved_manifolds curved_spacetime curves dark_energy dark_matter dawkins de_broglie-bohm_interpretation decoherence deformation delsarte delusion dennett descartes de_sitter_space dieudonne diffeomorphism differentiable_manifolds differential_analysis differential_equations differential_forms differential_geometry differential_topology differential_varieties dimensions diophantine_equations diophantine_geometry dirac dirac_cohomology dirac_equation dirac_memorial dirac_operators dirichlet_series discrete_groups discrete_symmetries distribution_theory drinfeld dualities duality dynamical_systems dynamics dyson early_universe economics eddington education einstein einstein_centenary einstein_manifolds ekpyrotis elasticity electroweak elliptic_curves emergence emergent emil_artin encyclopedia enrico_fermi entanglement entropy enumerative_invariants epistemology equivariant_de_rham_theory erdos escher espace essay essays etale_cohomology ettore_majorana euler everett evolution evolutionary_theory exceptional_lie_groups exercises existentialism experimental_mathematics extra_dimensions faster_than_light fermats_last_theorem fermi fermilab festschrift feynman feynman_diagrams feynman_integral feynman_lectures fibre_bundles fiction fields_medal field_theory finance financial_markets finite_groups finite-temperature_ft floer_homology fluid_mechanics formalism fourier_analysis four-manifolds fractal_geometry fractal_strings france fraud fred_hoyle freud fritzsch frobenius_algebras frobenius_manifolds ft functional_analysis functional_integration fundamental_constants fundamental_research fuzzy_spheres gabriele_veneziano galaxies galileo galois galois_cohomology galois_theory gambling game_theory gandhi gauge_field_theory gauge_redundancies gauge_theory gauss gdel gell-mann geometric geometric_algebra geometric_analysis geometric_asymptotics geometric_invariant_theory geometric_measure_theory geometric_quantisation geometrization_conjecture geometry germany global_geometry go godel gr graph_theory gravitation gravitational_collapse gravitational_radiation gravitational_solitons gravitational_waves gravity grb greek grothendieck grothendieck-serre grothendieck_topologies group_actions group_theory gut hardy harmonic_analysis hawking hawking_radiation heat_equation heat_kernels heidegger heisenberg hep hermann_weyl higgs higher-d_algebraic_geometry high_z hilbert hilbert_space hilbert_space_operators hilberts_problems hiroshima history history_of_astronomy history_of_mathematics history_of_physics holes holography homological_algebra homology homotopical_algebra hooke hopf-algebras human_civilisations human_evolution humanities human_societies human_society hungarians huygens hypergeometric_series hyperspace ias igm ihes ihes_festschrift incompleteness incompleteness_theorem index_theory indian_diaspora infinite-dimensional_algebras infinite_groups infinity inflation information information_theory institute integrability integrable_systems intelligence interference international_politics interview intuition intuitionism invariance_theory invariants israel_lobby iwasawa_theory joshi julian_schwinger julia_robinson kac-moody kahler_geometry kaluza-klein kepler kerr-cft kerr_geometry keynote_talk kinetics klein knots knowledge kolmogorov kontsevich kramers k-theory landau langlands language large_scale_structure latex laurent_lafforgue lecture_notes lectures les_houches les_houches_lectures lhc lie_algebras lie_groups lie_superalgebras lie_theory life linear_algebra linear_operators literature literography local_algebra local_fields locality logic loop_groups loop_quantum_cosmology loop_quantum_gravity loops loop_spaces lqg lqg_string mac_lane magnetic_monopoles magueijo malgrange manifolds many-body_qft many-worlds_interpretation mathematica mathematical mathematical_analysis mathematical_fallacies mathematical_logic mathematical_physics mathematical_platonism mathematical_universe mathematical_writing mathematicians mathematics matrix_models mauritius mckellar measurement measure_theory mechanics melbourne meme memoir memory methodology millennium_problems mind minkowski_geometry mirror_symmetry modular_forms modular_hilbert_algebras modular_invariance module_theory moduli moduli_spaces monopoles monster_group monstrous_moonshine mordell-weil_theorem morse_theory motives m-theory multiverse munich nambu-gotto_action nash n-body_simulation n-category ncg nehru neuroscience neutrino_mixing neutrinos newton nietzsche nishina nobel_lecture noether noncommutative_spaces noncommutativity nonequilibrium_states nonequilibrium_statistical_mechanics nonlinear_dynamics non-perturbative_renormalisation novel nuclear nuclear_models number number_theory objectivity observational_cosmology obsession oil_politics olympiad omega operator operator_algebras operator_space oppenheimer optics orbifolds order_parameters ordinary_differential_operators orientability p-adic_analysis p-adic_numbers parallel_universes partial_differential_equation partial_differential_equations particle_astrophysics particle_physics particles partitions path_integral path_integrals paul_halmos pauli pct perelman phase_transitions phenomenology philosophy philosophy_of_mathematics philosophy_of_science philosophy_of_the_mind physicists physics _physics physics_handbook pi poincare poincare_conjecture polyakov popper popular_article popular_science pour_la_science preface presentation primes principia principia_mathematica probability problem_book problem_solving proceedings programming proof proofs psychoanalysis psychology punctuated_equilibrium qcd qed qft q-lattices qm quant quantisation quantum quantum_categories quantum_chromodynamics quantum_cohomology quantum_computation quantum_computer quantum_computing quantum_cosmology quantum_geometry quantum_gravity quantum_groups quantum_hall_effect quantum_information quantum_invariants quantum_mathematical_physics quantum_mechanics quantum_physics quantum_statistical_mechanics quantum_stochastic_processes quark_confinement quasigroups quaternions quintessence ramanujan ramanujan_graphs ramanujan_notebooks ramanujan_tau-function random_graphs random_matrix_theory rational_functions rational_homotopy real_analysis relativistic_stars relativity renormalisation representation_theory review_article ricci_flow riemann-hilbert riemann_hypothesis riemannian_geometry riemannian_holonomy_groups riemannian_manifold riemann-roch_algebra riemann_surfaces rigged_hilbert_space round_numbers rovelli rudolf_peierls rumor running_constant russell sartre scalar-tensor scaling scattering_theory schemes schroedinger schwinger science science_education scientific_biography scientific_presentation scientists second_order_pdes seiberg-witten seiberg-witten_invariants self-adjointness self-adjoint_operators semi-riemannian_geometry semisimple_lie_algebras separable_topological_spaces serre_conjecture set_theory sf sheaves shimura_varieties simplicial_homotopy_theory singularities smolin smooth_manifolds social_responsibility sokal sokal_hoax solitons sophus_lie space spacetime spacetime_emergence spacetime_singularities special_functions special_holonomy special_relativity spectral_action spectral_sequences spectral_theory spin spinorial_geometry spinors spin_statistics spontaneous_symmetry_breaking sporadic_groups standard_model standard_model_parameters statistical_field_theory statistical_mechanics statistical_physics statistics stellar_systems stephen_adler stephen_hawking stochastic string_landscape strings string_theory_critique string_vacua_landscape subnuclear superconductivity superconductors super_differential_geometry supergravity supergroups supermanifolds supermembranes supernovae surrealism surreal_numbers susy symetrie symmetric_spaces symmetries symmetry symmetry_breaking symplectic_manifolds synchronicity tachyons tagore talk talks theoretical_minimum theoretical_physics theories_of_everything thermodynamics thinking thom thom_spectra three-manifolds time time_asymmetry time_warps tomita_theory tomonaga topological_defects topological_manifolds topological_quantum_numbers topological_strings topological_vector_spaces topology topos tqft trace_formula travel_guide trees turing turing_machine twin_paradox twisted_kac-moody_algebras twistors typesetting uncertainty_principle uncomputability undecidability undecidable_propositions undecidable_theories undergraduate unification uniqueness_theorems universe unsolved_problems us_foreign_policy vacuum_energy vector_bundles vertex_algebras virasoro_algebras von_neumann vsl wave_equations weak_interactions weil_conjecture white_holes wigner wiles_proof witten_deformations wittgenstein wormholes ww2 yang-mills young_tableaux zeta_functions zeta-functions