Hausdorff Center for Mathematics Courses

Statistical Shape Analysis Using the Persistent Homology Transform

Explore statistical shape analysis with the Persistent Homology Transform in less than an hour, offered by the Hausdorff Center for Mathematics.

• YouTube
• 51 minutes
• On-Demand
• Free Online Course

Ulrich Bauer: Ripser - Efficient Computation of Vietoris–Rips Persistence Barcodes

Explore the efficient computation of Vietoris-Rips persistence barcodes with Ulrich Bauer's lecture at the Hausdorff Center for Mathematics. Less than 1-hour workload.

• YouTube
• 51 minutes
• On-Demand
• Free Online Course

Paul Arne Østvær- A1 Contractible Varieties

Dive into algebraic geometry and number theory with Paul Arne Østvær's lecture at the Hausdorff Center for Mathematics. Expect 1-2 hours of material.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Online Course

Emergent Network Geometry

Explore emergent network geometry with Ginestra Bianconi in a lecture offered by the Hausdorff Center for Mathematics. Dive into topics like quantum spacetime, scale-free networks, and more in under an hour.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

Distributed Computing through Combinatorial Topology

Explore distributed computing using combinatorial topology techniques with the Hausdorff Center for Mathematics. Learn new lower bounds and impossibility results in a 1-2 hour workload.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Online Course

Chad Giusti - Topology, Convexity, and Neural Networks

Explore topology, convexity, and neural networks in a short lecture by Chad Giusti at the Hausdorff Center for Mathematics.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course

Topology of Complexes Arising in Models for Distributed Computing

Explore simplicial models for distributed computing in this less than 1-hour lecture by the Hausdorff Center for Mathematics. Dive into combinatorial-simplicial questions and open mathematical fields.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

High Dimensional Expanders

Explore high dimensional expanders with Roy Meshulam in this 1-2 hour lecture from the Hausdorff Center for Mathematics. Dive into coboundary expansion, spectral expansion, and their applications.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Online Course

Bilevel Learning Approaches in Variational Image

Explore bilevel optimization in image denoising with the Hausdorff Center for Mathematics. Learn about variational models, optimality conditions, and Newton type algorithms in under an hour.

• YouTube
• 40 minutes
• On-Demand
• Free Online Course

Error Analysis of a Variational Multiscale Stabilization for Convection-Dominated Diffusion Equations in 2D

Dive into error analysis of variational multiscale stabilization for convection-dominated diffusion equations with Guanglian Li at the Hausdorff Center for Mathematics. Less than 1-hour workload.

• YouTube
• 35 minutes
• On-Demand
• Free Online Course

A Coupling Strategy for Nonlocal and Local Models With Applications

Explore nonlocal models in science and engineering with the Hausdorff Center for Mathematics. Learn to develop local-to-nonlocal coupling strategies, optimize computational costs, and apply these in real-world scenarios.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course

A New Approach to Study Strong Advection Problems

Explore a new approach to studying strong advection problems in this short lecture by the Hausdorff Center for Mathematics. Learn about weak convergence tools, advection-diffusion models, and homogenization theory.

• YouTube
• 48 minutes
• On-Demand
• Free Online Course

Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids

Explore semi-Lagrangian methods for the Monge-Ampère equation with Max Jensen at the Hausdorff Center for Mathematics. Learn about PDEs, viscosity solutions, and overcoming convexity constraints.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

Axel Målqvist - Localization of Multiscale Problems

Explore multiscale problems and their localization using the Local Orthogonal Decomposition technique in this less than 1-hour lecture by the Hausdorff Center for Mathematics.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Numerical Homogenization Based Fast Solver for Multiscale PDEs

Explore numerical homogenization methods for multiscale PDEs in this short lecture by the Hausdorff Center for Mathematics. Learn about exponential decaying bases, localization, and optimal convergence rates.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course