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Graph Theory, Combinatorics, Complex Networks
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Mathematical Teaching, Biomathematics
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Functional Analysis, Operator Algebras, Noncommutative Geometry, Quantum Information Theory
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System Modeling and Prediction, Biomathematics
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Convective Heat Transfer, Numerical Methods, Partial Differential Equations
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Applied Mathematics and Computational Mathematics, mainly including Mathematical Physics Equations and their Numerical Solutions, Optimization Theory and Numerical Algorithms
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Nonlinear Functional Analysis and its Application
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Quantum Information and Computing, Conducting Scientific Research Projects at the Intersection of Mathematics and Quantum Physics
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Mathematical Teaching
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Nonlinear Evolution Equations and Infinite Dimensional Dynamical Systems
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Biomathematics, Deep Learning
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Geometric Representation Theory and its Application in Quantum Information, specifically Quantum Groups and their Representation Theory, Quantum Network Research, Quantum Resource Theory, Quantum Key Distribution, Quantum Communication
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Mathematical Teaching
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Iwasawa Theory
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Algebra, Mathematical Teaching
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Biomathematics
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Mathematical Teaching, Probability Statistics, Biomathematics
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Low-Dimensional Topology
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Graph Theory, Combinatorics, Complex Networks
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Applied Mathematics
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Nonlinear Vibration, Numerical Computing, Quantum Information, Physical Information Neural Network
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Partial Differential Equations
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Ramsey Theory, Extreme Graph Theory
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Representation Theory and its Connection with Symplectic/Algebraic Geometry
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Representation Theory of Algebraic Groups, Geometric Methods of Representation Theory
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Quantum Information and Quantum Computing
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Nonlinear System Control, Multi-agent System Collaborative Control
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Machine Learning, Intelligent Optimization Algorithm, Complex Network Algorithm and Application
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Differential Equations and Dynamical Systems
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Wave Equation Inversion
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Graph Theory, Combinatorics, Complex Networks
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Signal Processing, Teaching Research
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Partial Differential Equations in Fluid Mechanics, including: Global Existence of Weak Solutions to Fluid Mechanics Equations; Energy Conservation of Weak Solutions to Fluid Mechanics Equations; Existence and Stability of Steady Vortex Solutions
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Geometric Representation Theory, Quantum Group, Cluster Algebra
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Operator algebras, Free Probability Theory, Set Theory, Functional Analysis
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Lie Algebra and its Applications
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Lie (Super) Algebra and its Representation Theory
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Complex Systems
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Probability Theory, Random Process, Infinitely Divisible Process, Financial Mathematics
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Differential Equations and Dynamical Systems
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Group Behavior of Multi-agent Systems, Kinetic Equations
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Multi-dimensional and High-dimensional Time Series Model Testing, Cointegration Analysis, Biostatistics
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