BIMSA Courses

Eisenstein Series - An Overview

Explore Eisenstein series in a concise, self-contained overview, gaining insights into this mathematical concept and its applications.

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

Skein Valued Counts of Open Curves in Calabi-Yau Threefolds

Explore holomorphic curve counting in Calabi-Yau threefolds using HOMFLYPT skein module, examining deformation invariance and recursion relations in non-compact cases.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

SchNet - A Deep Learning Architecture for Molecules and Materials

Explore SchNet, a deep learning architecture for modeling atomistic systems, and its applications in predicting molecular and material properties across chemical space.

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

Positive Scalar Curvature on Manifolds and Foliations - ICBS 2024

Explore recent advances in positive scalar curvature metrics on manifolds and foliations, a key topic in differential geometry.

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

Regressing Multivariate Gaussian Distribution on Vector Covariates for Co-expression Network Analysis

Explore Fréchet regression for analyzing gene co-expression networks using population-level single-cell data. Learn to test associations between covariance matrices and covariates.

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

Polyhedra with Vertices on a Quadric

Explore combinatorial types of polyhedra with vertices on quadrics, from Steiner's 1832 question to recent findings using ideal polyhedra in various geometries.

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

Recent Progress in Geometric Langlands - ICBS 2024

Explore recent advancements in geometric Langlands theory, including verified conjectures and related questions in algebraic geometry and representation theory.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Duality Between the Pseudoeffective and the Movable Cone on a Projective Manifold

Explore duality between pseudoeffective and movable cones on projective manifolds, including recent developments and connections to non-Archimedean Calabi-Yau theorem.

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

The Amplituhedron - Connecting Scattering Amplitudes and Quantum Field Theory

Explore the connection between scattering amplitudes and the Amplituhedron, a novel mathematical concept generalizing convex polytopes into Grassmannians.

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

Interlacing Families and Ramanujan Graphs - #ICBS2024

Explore Ramanujan Graphs, interlacing families, and their connections to various mathematical fields. Gain insights into recent developments and open problems in graph theory.

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

On the p-adic Local Langlands Correspondence

Explore the $p$-adic local Langlands correspondence for ${\mathrm GL}_2({\mathbb Q}_p)$, focusing on geometric constructions from joint works with Dospinescu and Niziol.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

How Bright is the Proton? A Precise Determination of the Photon Parton Distribution Function

Explore the precise determination of photon distribution in protons using electron-proton scattering data, enhancing our understanding of particle physics at the Large Hadron Collider.

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

L^2-Invariants and Dynamical Invariants in Algebraic Actions

Explore connections between $L^2$-invariants in operator algebra and entropy/mean dimension in topological dynamical systems, focusing on algebraic actions of discrete groups.

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

Artistic Robotic Drawing on Large, Non-Planar Canvases

Explore innovative robotic drawing systems for large, non-planar canvases. Discover techniques like impedance control and TSP-pen art, and witness how robots mimic human artists in stroke-based drawing.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Mathematical Theories for Metamaterials: From Condensed Matter Theory to Subwavelength Physics

Explore mathematical theories for metamaterials, bridging quantum and classical physics to revolutionize nanotechnology and subwavelength wave manipulation.

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