BIMSA Courses

5D Superconformal Field Theories and Quantum Integrable Models

Explore integrable models in 5d Superconformal Field Theories, focusing on non-toric local Calabi-Yau geometry, Dimer graph folding, and codimension two defect probe physics.

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

GCC: Graph Contrastive Coding for Graph Neural Network Pre-Training

Explore Graph Contrastive Coding (GCC), a self-supervised pre-training framework for graph neural networks that captures universal network topological properties across multiple networks.

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

Geometric Analysis of Phase Retrieval

Explore geometric analysis of phase retrieval, examining nonconvex heuristics and proving benign geometric structure for efficient signal recovery using iterative optimization methods.

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

Exploring Loop-Like Topological Excitations in Three Dimensions

Explore loop-like topological excitations in 3D quantum matter, their unique braiding statistics, and role as order parameters for characterizing topological phases.

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

Visual Vibration Analysis: Using Cameras as High-Resolution Vibration Sensors

Explore visual vibration analysis using regular cameras to study object properties and forces. Learn applications in sound recovery, structural monitoring, and visual effects.

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

Semiclassical Measures on Compact Hyperbolic Surfaces

Explore semiclassical measures on compact hyperbolic surfaces, focusing on eigenfunctions of the Laplacian operator and the quantum ergodicity theorem. Delve into fractal uncertainty principles and their implications.

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

Structure in the Search for Structure - Algebraic Number Theory and Motivic Cohomology

Explore algebraic number theory through analogies between numbers and shapes, including quadratic reciprocity and linking numbers, leading to insights on Tate's 1966 conjecture.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

On the Hofer-Zehnder Conjecture - Periodic Points of Hamiltonian Diffeomorphisms

Explore Hofer-Zehnder conjecture on periodic points of Hamiltonian diffeomorphisms, examining recent progress using persistence modules, barcodes, and Floer cohomology power operations.

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

High Speed and Low Power Consumption Thin-Film Lithium Niobate Devices

Explore recent developments in thin-film lithium niobate for high-speed, low-power optical modulation and future optical links.

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

MeshCNN: A Network with an Edge for 3D Shape Analysis

Explore MeshCNN, a neural network designed for triangular meshes, leveraging edge-based operations for efficient 3D shape analysis and task-driven feature extraction.

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

Tightness and Legendrian Surgery in Contact Structures

Explore contact structures, open book decompositions, and tightness characterization in 3-manifolds. Investigate preservation of tightness under Legendrian surgery.

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

The NANOGrav 15-Year Data Set: Gravitational Wave Results

Explore nanohertz gravitational wave detection using pulsar timing arrays, focusing on NANOGrav's 15-year dataset and its implications for astrophysics and theories of gravity.

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

ZZ Instantons and the Non-Perturbative Dual of c = 1 String Theory

Explore ZZ instantons in c=1 string theory, examining non-perturbative effects on closed string scattering and identifying a dual state in matrix quantum mechanics.

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

The Resolution of the Bounded L^2 Curvature Conjecture in General Relativity

Explore the resolution of the bounded $L^2$ curvature conjecture in general relativity, examining minimal curvature tensor assumptions for controlling Einstein equation space-times.

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

Complex Brunn-Minkowski Theory and Uniqueness Theorems in Kähler Geometry

Explore complex Brunn-Minkowski theory and its applications in Kähler geometry, focusing on uniqueness theorems and generalizations of Bando-Mabuchi's work on Kähler-Einstein metrics.

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