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Mathematics

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Mathematics

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Topological Data Analysis and Persistent Homology
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Non-Euclidean Geometry and Hyperbolic Spaces
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Quantum Information Theory and Quantum Computing
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Homological Algebra and Derived Categories
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Stochastic Differential Equations and Brownian Motion
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Harmonic Analysis on Lie Groups
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Categorical Logic and Type Theory
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Modular Forms and Automorphic Representations
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Graph Neural Networks and Combinatorial Optimization
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Partial Differential Equations and Nonlinear Analysis
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Algebraic Topology and Homotopy Theory
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Arithmetic Geometry and Diophantine Equations
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Machine Learning Theory and Statistical Learning
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Symplectic Geometry and Hamiltonian Dynamics
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Operator Algebras and Functional Analysis
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Elliptic Curves and Cryptography
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Differential Geometry and Riemannian Manifolds
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Compressed Sensing and Sparse Recovery
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Representation Theory and Character Theory
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Numerical Methods for Multiscale Problems
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Knot Theory and Three-Manifolds
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Convex Geometry and Optimization Theory
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Galois Theory and Field Extensions
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Stochastic Processes and Martingale Theory
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Algebraic Combinatorics and Symmetric Functions
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Geometric Measure Theory and Fractals
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Complex Analysis and Riemann Surfaces
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Variational Methods and Calculus of Variations
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Commutative Algebra and Algebraic Geometry
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Harmonic Analysis and Signal Processing
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Inverse Problems and Ill-Posed Problems
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Categorical Quantum Mechanics and Quantum Groups
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Dynamical Systems and Chaos Theory
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Model Theory and Logical Foundations
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Probabilistic Method and Extremal Combinatorics
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Birational Geometry and Minimal Models
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Graph Theory and Network Analysis
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Fourier Analysis and Harmonic Functions
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Homology and Cohomology Theories
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Matrix Analysis and Numerical Linear Algebra
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Geometric Analysis and Minimal Surfaces
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Analytic Number Theory and Prime Distribution
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Microbial Population Dynamics and Mathematical Biology
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Algebraic K-Theory and Higher Algebra
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Potential Theory and Harmonic Measure
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Discrete Geometry and Polytopes
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Functional Data Analysis and Infinite Dimensions
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Enumerative Combinatorics and Generating Functions
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Gauge Theory and Yang-Mills Theory
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Bayesian Statistics and Probabilistic Graphical Models
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Tropical Geometry and Polyhedral Combinatorics
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Motivic Homotopy Theory and A1-Algebraic Topology
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Derived Algebraic Geometry and Higher Structures
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Synthetic Differential Geometry and Smooth Infinitesimals
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Noncommutative Geometry and C-Star Algebras
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Asymptotic Representation Theory and Limit Shapes
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Higher Category Theory and Infinity Topoi
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Arithmetic Dynamics and Heights in Number Theory
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Subgroup Growth and Profinite Groups
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Singularity Theory and Catastrophe Analysis
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p-Adic Analysis and Berkovich Spaces
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Cluster Algebras and Quiver Representations
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Probabilistic Number Theory and L-Functions
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Toric Geometry and Newton Polytopes
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Floer Homology and Lagrangian Intersections
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Spectral Graph Theory and Expander Graphs
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Khovanov Homology and Categorified Invariants
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Geometric Representation Theory and D-Modules
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Analytic Combinatorics and Singularity Analysis
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Monge-Ampere Equations and Kahler Geometry
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Intersection Homology and Stratified Spaces
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Combinatorial Optimization and Polyhedral Methods
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Harmonic Maps and Geometric Analysis
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Syzygies and Free Resolutions in Commutative Algebra
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Tame Representation Theory and Matrix Problems
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Probabilistic Potential Theory and Harmonic Functions
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Kahler-Einstein Metrics and Geometric Flows
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Quantum Walks and Quantum Algorithms
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Matroids and Combinatorial Structures
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Geometric Flows and Evolution Equations
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Approximation Algorithms and Inapproximability
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Elliptic Regularity and Fredholm Theory
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Iwasawa Theory and Cyclotomic Fields
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Microlocal Analysis and Fourier Integral Operators
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Affine and Projective Differential Geometry
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Ramification Theory and Local Fields
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Finite Element Methods and A Posteriori Estimation
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Subvarieties and Heights in Arithmetic Geometry
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Quantum Field Theory and Renormalization
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Orbifold Cohomology and Chen-Ruan Theory
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Random Matrix Theory and Spectral Statistics
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Contractibility and Simplicial Complexes
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Stability and Moduli Spaces in Algebraic Geometry
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Nonlinear Wave Equations and Solitons
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Toric Varieties and Resolutions of Singularities
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Hodge Theory and Motives
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Quantum Entanglement and Bell Inequalities
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Homogeneous Spaces and Invariant Theory
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Nonlinear Elasticity and Calculus of Variations
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Automorphic L-Functions and Langlands Program
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Topological Quantum Field Theory and Invariants
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Microlocal Analysis and Fourier Transform
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Arithmetic Statistics and L-functions
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Tropical Geometry and Polyhedral Combinatorics
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Hodge Theory and Mixed Hodge Structures
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Random Matrix Theory and Spectral Statistics
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Interacting Particle Systems and Hydrodynamic Limits
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Geometric Flows and Ricci Flow
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Noncommutative Geometry and Cyclic Homology
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Iwasawa Theory and p-adic L-functions
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Semiclassical Analysis and WKB Methods
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Derived Algebraic Geometry and Higher Schemes
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Dispersive Equations and Soliton Solutions
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Toric Geometry and Fan Polytopes
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Motivic Cohomology and Algebraic K-Theory
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Concentration Inequalities and Tail Bounds
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Floer Homology and Lagrangian Intersections
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Scattering Theory and Wave Equations
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Additive Combinatorics and Sumsets
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Cluster Algebras and Categorification
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Multivariable Operator Theory and Dilations
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Vertex Algebras and Conformal Field Theory
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Signed Graphs and Spectral Methods
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Geometric Invariant Theory and Moduli Spaces
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Quantum Ergodicity and Eigenvalue Statistics
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Nonlinear Waves and Integrable Systems
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Enumerative Geometry and Gromov-Witten Invariants
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Hyperbolic Geometry and Kleinian Groups
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Reproducing Kernel Hilbert Spaces and Learning Theory
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Multifractal Analysis and Self-Similar Sets
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Algebraic Surfaces and Singularities
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Markov Chain Monte Carlo and Mixing Times
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Stacky Geometry and Orbifold Cohomology
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Partial Order Theory and Lattice Structures
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Contact Topology and Legendrian Knots
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Gaussian Processes and Kernel Methods
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Branching Processes and Population Genetics
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Crystalline Cohomology and p-adic Geometry
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Optimal Transport and Wasserstein Geometry
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Quantum Spin Systems and Phase Transitions
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Rigidity Theory and Flexibility in Geometry
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Lorentzian Geometry and Causality Theory
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Theta Functions and Abelian Varieties
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Information Geometry and Statistical Divergences
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Quantum Anomalies and Index Theory
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Tiling Theory and Aperiodic Patterns
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Nonparametric Statistics and Kernel Density Estimation
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Birational Invariants and Classification Theory
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Nonlocal Equations and Fractional Calculus
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Matroids and Algebraic Combinatorics
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Motivic Cohomology and Algebraic Cycles
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Derived Algebraic Geometry and Higher Stacks
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Noncommutative Geometry and Spectral Triples
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Intersection Theory and Enumerative Geometry
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Analytic Continuation and L-Function Theory
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Floer Homology and Symplectic Topology
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Lattices and Sphere Packing Problems
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Heat Kernels and Spectral Geometry
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Percolation Theory and Phase Transitions
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Microlocal Analysis and Pseudo-Differential Operators
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Toric Varieties and Combinatorial Geometry
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Tropical Geometry and Polyhedral Methods
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Motivic Integration and Arc Spaces
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Berkovich Spaces and Non-Archimedean Geometry
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Categorical Resolutions and Noncommutative Algebra
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Mass Transportation and Optimal Transport Geometry
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Oscillatory Integrals and Stationary Phase
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Arithmetic Statistics and Height Functions
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Étale Cohomology and Galois Representations
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Weyl Character Formula and Tensor Categories
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Courant Algebroids and Generalized Geometry
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Geometric Langlands Program and D-Modules
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Additive Combinatorics and Sum-Product Problems
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Sheaf Cohomology and Derived Functors
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Fano Varieties and Birational Classification
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Quantum Affine Algebras and q-Deformations
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Compactifications and Wonderful Models
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Chromatic Homotopy Theory and Stable Homotopy
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Singularities in Birational Geometry and Resolutions
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Resurgence and Transseries in Asymptotics
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Index Theory and Heat Asymptotics
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Kac-Moody Algebras and Loop Groups
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Hermitian Metrics and Positivity Cones
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Stability Conditions and Derived Categories
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Free Probability and Random Matrices
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Infinite-Dimensional Lie Theory and Representations
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Combinatorial Hopf Algebras and Symmetric Functions
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Metric Entropy and Dimension Theory
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Motivic Measures and Virtual Fundamental Classes
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Hodge Theory and Kahler Geometry
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Rationality Problems and Unirational Varieties
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Gromov-Witten Invariants and Quantum Cohomology
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Tannakian Categories and Fiber Functors
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Circle Actions and Equivariant Cohomology
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Matrix Positivity and Moment Problems
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Tropical Geometry and Piecewise Linear Structures
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Noncommutative Geometry and Spectral Triples
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Affine Hecke Algebras and p-Adic Groups
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Motivic Zeta Functions and Counting Motives
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Topological Quantum Field Theory and Bordism Categories
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