BIMSA Courses

初等数论

Discover fundamental concepts in elementary number theory through expert instruction designed for gifted young mathematicians in this specialized demonstration class.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

线性代数 - 示范少年班

掌握线性代数的核心概念和计算方法，通过专业讲解深入理解向量空间、矩阵运算和线性变换的数学原理。

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

初等数论

Explore fundamental concepts in elementary number theory through expert instruction designed for gifted young mathematicians in this comprehensive mathematical foundation session.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

初等数论

Explore fundamental concepts in elementary number theory through expert instruction designed for gifted young mathematicians in this comprehensive mathematical foundation session.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

线性代数

掌握线性代数核心概念，通过专业讲解深入理解向量空间、矩阵运算和线性变换的数学原理与应用。

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

线性代数 - 示范少年班

掌握线性代数的核心概念和计算方法，通过专业讲解深入理解向量空间、矩阵运算和线性变换的数学原理。

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

线性代数 - 示范少年班

掌握线性代数的核心概念和计算方法，通过专业讲解深入理解向量空间、矩阵运算和线性变换的数学原理。

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

The Graph Representation Theory of Statistics

Discover how graph representation theory revolutionizes statistics for big data analysis, combining game theory, ecology, and topology to predict network dynamics and transform data.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

A Statistical Viewpoint on Privacy - From the 2020 United States Decennial Census to Hypothesis Testing to Blackwell's Theorem

Explore differential privacy through statistical lens, from hypothesis testing to Blackwell's theorem, with insights into 2020 US Census privacy analysis and noise optimization.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Spectral Representations on Wasserstein Limits of Empirical Measures on Manifolds

Discover sharp convergence rates in Wasserstein distance for empirical measures of diffusion processes on Riemannian manifolds using spectral analysis.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Connection Probabilities for Loop O(n) Models and BPZ Equations

Explore connection probabilities for loop O(n) models in polygons and their relationship to BPZ equations, covering Coulomb gas integrals and SLE partition functions.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Enumerative Invariants from Calabi-Yau Categories

Explore enumerative invariants from Calabi-Yau categories, connecting homological mirror symmetry to Gromov-Witten invariants and string theory applications.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

A 2D CFT Factory - Critical Lattice Models from Competing Anyon Condensation in SymTFT

Discover a systematic algorithm for generating 2D lattice models that flow to conformal fixed points using critical boundary conditions in 3D topological orders and anyon condensation.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

The Hilbert Sixth Problem - Particle and Waves

Explore the mathematical bridge between particle dynamics and continuum mechanics, covering Boltzmann equations and wave kinetic theory through recent breakthroughs in Hilbert's Sixth Problem.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Strictly Convex Entropy and Entropy Stable Schemes for the Reactive Euler Equations

Explore strictly convex entropy functions and stable numerical schemes for reactive Euler equations in compressible flow with chemical reactions and thermodynamic considerations.

• YouTube
• 39 minutes
• Self-Paced
• Free Video